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666,262,453B
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635M
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listlengths 1
128
⌀ | former_ids
listlengths 1
3
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⌀ | timestamp
timestamp[us]date 1999-12-11 03:00:00
2025-07-19 00:40:46
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|---|---|---|---|---|---|---|---|---|---|---|---|---|
A355701 | a(n) = Product of prime(k+1) where k runs through the exponents of the positions 2^k of the 1-bits in A354169(n). | [
"1",
"2",
"3",
"5",
"7",
"6",
"11",
"13",
"17",
"35",
"19",
"23",
"29",
"22",
"31",
"39",
"37",
"41",
"43",
"85",
"47",
"133",
"53",
"59",
"61",
"667",
"67",
"71",
"73",
"62",
"79",
"33",
"83",
"481",
"89",
"97",
"101",
"1763",
"103",
"107",
"109",
"235",
"113",
"119",
"127",
"1007",
"131",
"137",
"139",
"3599",
"149",
"151",
"157",
"1541",
"163",
"2059",
"167",
"173",
"179"
]
| [
"nonn"
]
| 12 | 0 | 2 | [
"A005117",
"A090252",
"A354169",
"A355701"
]
| null | Michael De Vlieger, Jul 14 2022 | 2022-07-17T11:41:40 | oeisdata/seq/A355/A355701.seq | 40a31140403c38fd4aeeec5ac6475d1a |
A355702 | a(1) = 1, a(2) = 2; for n > 2, a(n) is the smallest positive number that has not yet appeared that has the same number of prime divisors as the sum a(n-2) + a(n-1). | [
"1",
"2",
"3",
"5",
"8",
"7",
"4",
"11",
"6",
"13",
"17",
"12",
"19",
"23",
"18",
"29",
"31",
"16",
"37",
"41",
"20",
"43",
"27",
"28",
"9",
"47",
"24",
"53",
"10",
"30",
"36",
"42",
"44",
"14",
"15",
"59",
"21",
"32",
"61",
"22",
"67",
"71",
"45",
"50",
"25",
"52",
"26",
"63",
"73",
"40",
"79",
"33",
"48",
"54",
"66",
"72",
"68",
"56",
"70",
"60",
"75",
"81",
"84",
"76",
"64",
"88",
"90",
"34",
"78",
"80",
"35",
"38",
"83",
"39",
"46",
"49",
"51"
]
| [
"nonn"
]
| 12 | 1 | 2 | [
"A001222",
"A352867",
"A355647",
"A355649",
"A355702",
"A356017"
]
| null | Scott R. Shannon, Jul 14 2022 | 2022-07-23T09:54:27 | oeisdata/seq/A355/A355702.seq | e969d848046b5408b81dc19d023b3623 |
A355703 | a(n) = binomial(n, floor(log(n))). | [
"1",
"1",
"3",
"4",
"5",
"6",
"7",
"28",
"36",
"45",
"55",
"66",
"78",
"91",
"105",
"120",
"136",
"153",
"171",
"190",
"1330",
"1540",
"1771",
"2024",
"2300",
"2600",
"2925",
"3276",
"3654",
"4060",
"4495",
"4960",
"5456",
"5984",
"6545",
"7140",
"7770",
"8436",
"9139",
"9880",
"10660",
"11480",
"12341",
"13244",
"14190",
"15180",
"16215",
"17296",
"18424",
"19600",
"20825"
]
| [
"nonn"
]
| 32 | 1 | 3 | [
"A000195",
"A001405",
"A007318",
"A051033",
"A051036",
"A051052",
"A051053",
"A355703"
]
| null | Christoph B. Kassir, Jul 14 2022 | 2025-06-16T23:49:31 | oeisdata/seq/A355/A355703.seq | 846f21eb4d3dcb91e445521f44771848 |
A355704 | Indices k of partition function p where p(k) and p(k) + 2 are twin primes. | [
"3",
"4",
"6",
"13",
"2335166"
]
| [
"nonn",
"hard",
"more"
]
| 20 | 1 | 1 | [
"A000041",
"A046063",
"A072213",
"A284594",
"A285086",
"A285087",
"A285088",
"A355704",
"A355705",
"A355706"
]
| null | Serge Batalov, Jul 14 2022 | 2022-07-26T01:34:30 | oeisdata/seq/A355/A355704.seq | 7fc99c1e99c98ecb8d045fc5af96aad3 |
A355705 | Indices k of partition function p where p(k) and p(k) - 2 are twin primes. | [
"4",
"5",
"186",
"3542"
]
| [
"nonn",
"hard",
"more"
]
| 17 | 1 | 1 | [
"A000041",
"A046063",
"A072213",
"A284594",
"A285086",
"A285087",
"A285088",
"A355704",
"A355705",
"A355706"
]
| null | Serge Batalov, Jul 15 2022 | 2022-07-26T01:34:35 | oeisdata/seq/A355/A355705.seq | 52f2e9aecf771d4069c65d112d506f31 |
A355706 | Indices k of partition function p where p(k) is a twin prime. | [
"3",
"4",
"5",
"6",
"13",
"186",
"3542",
"2335166"
]
| [
"nonn",
"hard",
"more"
]
| 25 | 1 | 1 | [
"A000041",
"A046063",
"A072213",
"A284594",
"A285086",
"A285087",
"A285088",
"A355704",
"A355705",
"A355706"
]
| null | Serge Batalov, Jul 15 2022 | 2022-07-26T01:34:40 | oeisdata/seq/A355/A355706.seq | 0b6235729600d312c51ddd3be4d22b62 |
A355707 | Nonsquare numbers k such that tau(sigma(tau(k))) = sigma(tau(sigma(k))), where tau is A000005 and sigma is A000203. | [
"786432",
"3500658",
"41641938",
"75031250",
"121773618",
"175781250",
"408008178",
"892531250",
"1031215698"
]
| [
"nonn",
"more"
]
| 26 | 1 | 1 | [
"A000005",
"A000037",
"A000203",
"A076361",
"A237613",
"A355707"
]
| null | Mohammed Yaseen, Jul 14 2022 | 2022-07-18T14:18:02 | oeisdata/seq/A355/A355707.seq | b268a3da2eb9c977c0645b4648f8d126 |
A355708 | Irregular triangle read by rows in which row n lists the possible periods for the iterations of the map sum of n-th powers of digits. | [
"1",
"1",
"8",
"1",
"2",
"3",
"1",
"2",
"7",
"1",
"2",
"4",
"6",
"10",
"12",
"22",
"28",
"1",
"2",
"3",
"4",
"10",
"30",
"1",
"2",
"3",
"6",
"12",
"14",
"21",
"27",
"30",
"56",
"92",
"1",
"25",
"154",
"1",
"2",
"3",
"4",
"8",
"10",
"19",
"24",
"28",
"30",
"80",
"93",
"1",
"6",
"7",
"17",
"81",
"123"
]
| [
"nonn",
"tabf",
"base",
"more"
]
| 14 | 1 | 3 | [
"A003132",
"A007953",
"A031176",
"A031178",
"A031182",
"A031186",
"A031195",
"A031200",
"A031211",
"A031212",
"A031213",
"A055012",
"A055013",
"A055014",
"A055015",
"A123253",
"A210840",
"A355708"
]
| null | Mohammed Yaseen, Jul 14 2022 | 2025-02-16T08:34:03 | oeisdata/seq/A355/A355708.seq | 926a968c23ebb046212f29d014b868ed |
A355709 | Numbers k such that k and k+1 have the same number of 3-smooth divisors. | [
"2",
"14",
"21",
"33",
"38",
"44",
"50",
"57",
"69",
"74",
"80",
"86",
"93",
"99",
"105",
"110",
"116",
"122",
"129",
"135",
"141",
"146",
"158",
"165",
"171",
"177",
"182",
"194",
"201",
"213",
"218",
"230",
"237",
"249",
"254",
"260",
"266",
"273",
"285",
"290",
"296",
"302",
"309",
"315",
"321",
"326",
"332",
"338",
"345",
"357",
"362",
"374",
"381",
"387",
"393",
"398"
]
| [
"nonn"
]
| 10 | 1 | 1 | [
"A005237",
"A006049",
"A072078",
"A332386",
"A343819",
"A344312",
"A344313",
"A344314",
"A348345",
"A355709",
"A355710"
]
| null | Amiram Eldar, Jul 15 2022 | 2022-07-19T08:02:48 | oeisdata/seq/A355/A355709.seq | cc5232bad7329f4fec2a716cc0fff736 |
A355710 | Numbers k such that k and k+1 have the same number of 5-smooth divisors. | [
"2",
"21",
"33",
"34",
"38",
"57",
"85",
"86",
"93",
"94",
"104",
"116",
"122",
"141",
"145",
"146",
"154",
"158",
"171",
"177",
"182",
"189",
"201",
"205",
"213",
"214",
"218",
"237",
"265",
"266",
"273",
"296",
"302",
"321",
"326",
"332",
"334",
"338",
"344",
"357",
"362",
"381",
"385",
"387",
"393",
"394",
"398",
"417",
"445",
"446",
"453",
"454",
"475",
"476",
"482"
]
| [
"nonn"
]
| 11 | 1 | 1 | [
"A005237",
"A006049",
"A332386",
"A343819",
"A344312",
"A344313",
"A344314",
"A348345",
"A355583",
"A355709",
"A355710",
"A355711",
"A355712"
]
| null | Amiram Eldar, Jul 15 2022 | 2022-07-19T08:03:00 | oeisdata/seq/A355/A355710.seq | d8dfcf5fee22fcde40bcd3812a1c5882 |
A355711 | Starts of runs of 3 consecutive numbers with the same number of 5-smooth divisors. | [
"33",
"85",
"93",
"145",
"213",
"265",
"393",
"445",
"453",
"475",
"505",
"633",
"685",
"753",
"805",
"813",
"865",
"933",
"985",
"993",
"1045",
"1113",
"1165",
"1293",
"1345",
"1353",
"1405",
"1430",
"1533",
"1585",
"1624",
"1653",
"1705",
"1713",
"1765",
"1833",
"1885",
"1893",
"1945",
"2013",
"2065",
"2193",
"2245",
"2253",
"2275",
"2305",
"2433",
"2485"
]
| [
"nonn"
]
| 9 | 1 | 1 | [
"A005238",
"A006073",
"A045939",
"A332313",
"A332387",
"A355583",
"A355710",
"A355711",
"A355712"
]
| null | Amiram Eldar, Jul 15 2022 | 2022-07-19T07:27:28 | oeisdata/seq/A355/A355711.seq | 46f6f50785f8a9f2335bf59de461b88f |
A355712 | Starts of runs of 4 consecutive numbers with the same number of 5-smooth divisors. | [
"28374",
"133623",
"136374",
"187623",
"190374",
"298374",
"349623",
"352374",
"457623",
"460374",
"511623",
"619623",
"622374",
"673623",
"676374",
"781623",
"838374",
"943623",
"946374",
"997623",
"1000374",
"1108374",
"1159623",
"1162374",
"1267623",
"1270374",
"1321623",
"1429623",
"1432374",
"1483623",
"1486374",
"1591623"
]
| [
"nonn"
]
| 10 | 1 | 1 | [
"A006601",
"A332314",
"A332388",
"A355583",
"A355710",
"A355711",
"A355712"
]
| null | Amiram Eldar, Jul 15 2022 | 2022-07-19T08:03:05 | oeisdata/seq/A355/A355712.seq | d98d6b70f52e851ef544552da725c036 |
A355713 | Numbers k such that k and k+1 have the same sum of 5-smooth divisors. | [
"175",
"2224",
"2575",
"4975",
"7024",
"9424",
"9775",
"11824",
"12175",
"14224",
"14575",
"16975",
"19024",
"21424",
"21775",
"23824",
"24175",
"26224",
"26575",
"28975",
"31024",
"33424",
"33775",
"35824",
"36175",
"38224",
"38575",
"40975",
"43024",
"45424",
"45775",
"47824",
"48175",
"50224",
"50575",
"52975",
"55024",
"57424",
"57775"
]
| [
"nonn"
]
| 13 | 1 | 1 | [
"A000203",
"A002961",
"A013929",
"A018255",
"A064115",
"A064125",
"A068781",
"A293183",
"A306985",
"A333949",
"A355584",
"A355713"
]
| null | Amiram Eldar, Jul 15 2022 | 2022-11-25T11:05:14 | oeisdata/seq/A355/A355713.seq | f4b96c4247306dd0ac6dcc9bdd4dfbcf |
A355714 | Numbers k > 0 such that A090252(A355176(k)) does not equal prime(k)^2. | [
"1",
"2",
"16",
"26",
"32",
"35",
"40",
"59",
"60",
"69",
"92",
"105",
"110",
"112",
"113",
"137",
"167",
"169",
"178",
"185",
"186",
"188",
"207",
"210",
"260",
"261",
"274",
"287",
"289",
"342",
"344",
"346",
"356",
"357",
"359",
"361",
"362",
"363",
"391",
"412",
"417",
"434",
"457",
"477",
"478",
"479",
"480",
"481",
"492",
"547",
"563",
"598",
"663",
"666",
"671"
]
| [
"nonn"
]
| 40 | 1 | 2 | [
"A000040",
"A001248",
"A090252",
"A354169",
"A355176",
"A355714"
]
| null | Thomas Scheuerle, Jul 15 2022 | 2022-07-16T01:06:27 | oeisdata/seq/A355/A355714.seq | 5611a4b2fc43b119ecf598b0bc0b9850 |
A355715 | a(0) = 0; for n > 0, a(n) is the total number of binary bits that n has in common with all previous terms. | [
"0",
"0",
"2",
"1",
"3",
"2",
"7",
"8",
"8",
"9",
"16",
"15",
"17",
"17",
"18",
"19",
"32",
"35",
"39",
"42",
"33",
"36",
"40",
"40",
"50",
"50",
"57",
"57",
"50",
"49",
"53",
"54",
"92",
"91",
"94",
"93",
"85",
"87",
"89",
"90",
"101",
"105",
"106",
"113",
"103",
"109",
"108",
"116",
"143",
"146",
"144",
"149",
"145",
"151",
"146",
"153",
"161",
"169",
"161",
"170",
"159",
"169",
"158",
"170",
"184",
"192",
"187",
"194",
"181"
]
| [
"nonn",
"base"
]
| 12 | 0 | 3 | [
"A030190",
"A342303",
"A351753",
"A355374",
"A355715"
]
| null | Scott R. Shannon, Jul 15 2022 | 2022-07-19T08:04:00 | oeisdata/seq/A355/A355715.seq | 562516c8864fbfadffb5387769408262 |
A355716 | a(n) is the smallest number that has exactly n binary palindrome divisors (A006995). | [
"1",
"3",
"9",
"15",
"99",
"45",
"135",
"189",
"315",
"495",
"945",
"765",
"2079",
"6237",
"3465",
"5355",
"4095",
"8415",
"31185",
"20475",
"25245",
"12285",
"85995",
"58905",
"61425",
"45045",
"69615",
"176715",
"446985",
"225225",
"328185",
"208845",
"135135",
"405405",
"528255",
"1396395",
"675675",
"2027025",
"765765",
"5360355",
"2993445",
"3968055",
"3828825"
]
| [
"nonn",
"base"
]
| 31 | 1 | 2 | [
"A006995",
"A175242",
"A329419",
"A329420",
"A355716"
]
| null | Bernard Schott, Jul 15 2022 | 2022-07-23T19:23:59 | oeisdata/seq/A355/A355716.seq | 7e5151406aa40e8d2109aa5fea42fa41 |
A355717 | Smallest number of generalized pentagonal numbers which sum to n. | [
"0",
"1",
"1",
"2",
"2",
"1",
"2",
"1",
"2",
"2",
"2",
"3",
"1",
"2",
"2",
"1",
"2",
"2",
"3",
"2",
"2",
"3",
"1",
"2",
"2",
"3",
"1",
"2",
"2",
"2",
"2",
"2",
"3",
"2",
"2",
"1",
"2",
"2",
"2",
"3",
"1",
"2",
"2",
"3",
"2",
"2",
"3",
"2",
"2",
"3",
"2",
"1",
"2",
"2",
"3",
"2",
"2",
"1",
"2",
"2",
"3",
"2",
"2",
"2",
"2",
"3",
"2",
"3",
"3",
"2",
"1",
"2",
"2",
"2",
"3",
"2",
"3",
"1",
"2",
"2",
"2",
"3",
"2",
"2",
"2",
"2",
"2",
"3",
"3",
"2",
"3",
"2",
"1",
"2",
"2",
"3",
"2",
"2",
"3",
"2",
"1"
]
| [
"nonn"
]
| 59 | 0 | 4 | [
"A001318",
"A093519",
"A100878",
"A355717"
]
| null | Bernard Schott, Jul 15 2022 | 2025-03-22T23:34:27 | oeisdata/seq/A355/A355717.seq | 751b05dbf4fe9c997584a2e836f5f3fc |
A355718 | Expansion of e.g.f. exp( x/(1 + log(1-x)) ). | [
"1",
"1",
"3",
"16",
"117",
"1071",
"11725",
"149122",
"2158401",
"35006941",
"628552231",
"12372376116",
"264849067549",
"6124239060915",
"152099146415385",
"4037206919213686",
"114038575520545153",
"3415098936831144537",
"108065651366801837611",
"3602585901321224507992"
]
| [
"nonn"
]
| 12 | 0 | 3 | [
"A007840",
"A052860",
"A355718",
"A355719",
"A355720"
]
| null | Seiichi Manyama, Jul 15 2022 | 2022-07-15T15:04:28 | oeisdata/seq/A355/A355718.seq | e6dd3c2e2621fb4b8756a86e6eb02a19 |
A355719 | Expansion of e.g.f. exp( x/(1 - log(1+x)) ). | [
"1",
"1",
"3",
"10",
"45",
"231",
"1405",
"9472",
"72177",
"596845",
"5442631",
"53052726",
"561826309",
"6286949787",
"75704999721",
"954108249676",
"12862823623393",
"179921659771257",
"2683989118991467",
"41178997678745506",
"673670267643931581",
"11223738258484213519",
"200027545794685345749"
]
| [
"sign"
]
| 16 | 0 | 3 | [
"A006252",
"A108125",
"A355718",
"A355719",
"A355720"
]
| null | Seiichi Manyama, Jul 15 2022 | 2022-07-15T15:04:41 | oeisdata/seq/A355/A355719.seq | ca8730c192f05a0639a01673a4ca3aa4 |
A355720 | Expansion of e.g.f. exp( x/(2 - exp(x)) ). | [
"1",
"1",
"3",
"16",
"113",
"986",
"10237",
"123096",
"1680737",
"25668766",
"433329461",
"8009178596",
"160802065393",
"3483842906610",
"80992799730221",
"2010720004254856",
"53081510001375041",
"1484613248976841958",
"43846812123456425221",
"1363477059263944382604"
]
| [
"nonn"
]
| 17 | 0 | 3 | [
"A000248",
"A000670",
"A052882",
"A075729",
"A355718",
"A355719",
"A355720"
]
| null | Seiichi Manyama, Jul 15 2022 | 2022-07-15T15:05:02 | oeisdata/seq/A355/A355720.seq | 067498dfa43bef4d9b8c826dfd33df61 |
A355721 | Square table, read by antidiagonals: the g.f. for row n is given recursively by (2*n-1)*x*R(n,x) = 1 + (2*n-3)*x - 1/R(n-1,x) for n >= 1 with the initial value R(0,x) = Sum_{k >= 0} A112934(k+1)*x^k. | [
"1",
"1",
"2",
"1",
"2",
"6",
"1",
"2",
"10",
"26",
"1",
"2",
"14",
"74",
"158",
"1",
"2",
"18",
"138",
"706",
"1282",
"1",
"2",
"22",
"218",
"1686",
"8162",
"13158",
"1",
"2",
"26",
"314",
"3194",
"24162",
"110410",
"163354",
"1",
"2",
"30",
"426",
"5326",
"53890",
"394254",
"1708394",
"2374078",
"1",
"2",
"34",
"554",
"8178",
"102722",
"1019250",
"7191018",
"29752066",
"39456386"
]
| [
"nonn",
"tabl",
"easy"
]
| 13 | 0 | 3 | [
"A000698",
"A001147",
"A111528",
"A112934",
"A355721",
"A355722",
"A355723",
"A355724",
"A355725"
]
| null | Peter Bala, Jul 15 2022 | 2022-07-18T19:47:17 | oeisdata/seq/A355/A355721.seq | 7dd8a100e7c93604c1237449cb4cdc4c |
A355722 | Row 2 of table A355721. | [
"1",
"2",
"14",
"138",
"1686",
"24162",
"394254",
"7191018",
"144786006",
"3188449602",
"76246683534",
"1968284351178",
"54576250392726",
"1618348891438242",
"51122453577462414",
"1714406473587300138",
"60843580566100937046",
"2278637898592632599682",
"89818339421620249242894",
"3717488491001699691500298"
]
| [
"nonn",
"easy"
]
| 4 | 0 | 2 | [
"A000698",
"A001147",
"A112934",
"A355721",
"A355722",
"A355723",
"A355724",
"A355725"
]
| null | Peter Bala, Jul 15 2022 | 2022-07-18T19:47:36 | oeisdata/seq/A355/A355722.seq | f0fa6357509eaf9141109fdfd9a6ede0 |
A355723 | Row 3 of table A355721. | [
"1",
"2",
"18",
"218",
"3194",
"53890",
"1019250",
"21256090",
"483426010",
"11895873410",
"314834663250",
"8918883839450",
"269367643864250",
"8643467766472450",
"293770652998691250",
"10546424484691428250",
"398914704362503668250",
"15860639479547463637250",
"661439858772303085871250",
"28874834455755565593004250"
]
| [
"nonn",
"easy"
]
| 5 | 0 | 2 | [
"A000698",
"A001147",
"A112934",
"A355721",
"A355722",
"A355723",
"A355724",
"A355725"
]
| null | Peter Bala, Jul 15 2022 | 2022-07-18T19:47:48 | oeisdata/seq/A355/A355723.seq | 1d7287672842974b1cdcc0eafc1b2a30 |
A355724 | Row 4 of table A355721. | [
"1",
"2",
"22",
"314",
"5326",
"102722",
"2197558",
"51355514",
"1297759918",
"35208930050",
"1020115715542",
"31432396066106",
"1026506419425550",
"35428218801977666",
"1288967076156307702",
"49323199246104202874",
"1980947315202528449518",
"83342865788161594337282",
"3666525676611059535630742"
]
| [
"nonn",
"easy"
]
| 4 | 0 | 2 | [
"A000698",
"A001147",
"A112934",
"A355721",
"A355722",
"A355723",
"A355724",
"A355725"
]
| null | Peter Bala, Jul 15 2022 | 2022-07-18T19:47:58 | oeisdata/seq/A355/A355724.seq | 706884550891d02cabe6ea81e4533c77 |
A355725 | Row 5 of table A355721. | [
"1",
"2",
"26",
"426",
"8178",
"176802",
"4206618",
"108577674",
"3011332338",
"89141101506",
"2802596567706",
"93232011912426",
"3271729161905010",
"120810104634555234",
"4683805718871051162",
"190294015841923438026",
"8087576641287426829170",
"358981130096398432055682",
"16615841072836741527510810"
]
| [
"nonn",
"easy"
]
| 4 | 0 | 2 | [
"A000698",
"A001147",
"A112934",
"A355721",
"A355722",
"A355723",
"A355724",
"A355725"
]
| null | Peter Bala, Jul 15 2022 | 2022-07-18T19:48:08 | oeisdata/seq/A355/A355725.seq | 67cdeda31e2a4454abf93ec5245673d4 |
A355726 | a(n) = a(n-2) + prime(n-1) for a(0) = a(1) = 0. | [
"0",
"0",
"2",
"3",
"7",
"10",
"18",
"23",
"35",
"42",
"58",
"71",
"89",
"108",
"130",
"151",
"177",
"204",
"236",
"265",
"303",
"336",
"376",
"415",
"459",
"504",
"556",
"605",
"659",
"712",
"768",
"825",
"895",
"956",
"1032",
"1095",
"1181",
"1246",
"1338",
"1409",
"1505",
"1582",
"1684",
"1763",
"1875",
"1956",
"2072",
"2155",
"2283",
"2378",
"2510"
]
| [
"nonn"
]
| 27 | 0 | 3 | [
"A008347",
"A077126",
"A077131",
"A330547",
"A355726"
]
| null | Paul Curtz, Jul 15 2022 | 2023-12-04T09:55:26 | oeisdata/seq/A355/A355726.seq | 5af3ebc4bbe5a74d00966f8cc9753b0a |
A355727 | First of four consecutive primes p, q, r, s where q*s == p (mod r). | [
"47",
"139",
"167",
"257",
"421",
"557",
"587",
"647",
"1021",
"1051",
"1217",
"1601",
"1759",
"2957",
"3803",
"3911",
"4007",
"4397",
"4423",
"4463",
"5351",
"5471",
"6257",
"6691",
"6857",
"6949",
"7577",
"8081",
"9109",
"9697",
"10223",
"10847",
"11927",
"12101",
"12601",
"12911",
"13669",
"13711",
"13751",
"14537",
"14621",
"16217",
"16607",
"16903",
"17021",
"17359",
"17477",
"17911"
]
| [
"nonn"
]
| 15 | 1 | 1 | [
"A001223",
"A355727"
]
| null | J. M. Bergot and Robert Israel, Jul 15 2022 | 2024-07-07T19:17:35 | oeisdata/seq/A355/A355727.seq | bf90dac99eff511f78dddfa2afaec9e8 |
A355728 | Indices k of partition function where consecutive p(k) and p(k+1) are prime. | [
"2",
"3",
"4",
"5",
"1085"
]
| [
"nonn",
"hard",
"more"
]
| 14 | 1 | 1 | [
"A000041",
"A046063",
"A072213",
"A284594",
"A285086",
"A285087",
"A285088",
"A355704",
"A355705",
"A355706",
"A355728"
]
| null | Serge Batalov, Jul 15 2022 | 2022-07-26T01:34:46 | oeisdata/seq/A355/A355728.seq | e4887cff7426b4d4189f2b8533a17562 |
A355729 | Tournament standing, under standard rules double elimination, of the participant whose elimination leaves n participants still in the tournament. | [
"1",
"2",
"3",
"4",
"5",
"5",
"7",
"7",
"9",
"9",
"9",
"9",
"13",
"13",
"13",
"13",
"17",
"17",
"17",
"17",
"17",
"17",
"17",
"17",
"25",
"25",
"25",
"25",
"25",
"25",
"25",
"25",
"33",
"33",
"33",
"33",
"33",
"33",
"33",
"33",
"33",
"33",
"33",
"33",
"33",
"33",
"33",
"33",
"49",
"49",
"49",
"49",
"49",
"49",
"49",
"49",
"49",
"49",
"49",
"49",
"49",
"49",
"49",
"49",
"65",
"65",
"65"
]
| [
"easy",
"nonn"
]
| 49 | 0 | 2 | null | null | Andrew Mirror, Jul 15 2022 | 2022-09-06T10:31:21 | oeisdata/seq/A355/A355729.seq | 57ca2e8ca00f7c9353e7f3ece4482692 |
A355730 | Number of binary relations R on [n] such that R is contained in R^2. | [
"1",
"2",
"13",
"333",
"34924",
"15339497",
"28399641433"
]
| [
"nonn",
"more"
]
| 37 | 0 | 2 | [
"A006905",
"A070322",
"A121337",
"A355730"
]
| null | Geoffrey Critzer, Jul 15 2022 | 2023-10-16T23:38:17 | oeisdata/seq/A355/A355730.seq | a60fe3e43843f4ad6674695717aaabd8 |
A355731 | Number of ways to choose a sequence of divisors, one of each element of the multiset of prime indices of n (row n of A112798). | [
"1",
"1",
"2",
"1",
"2",
"2",
"3",
"1",
"4",
"2",
"2",
"2",
"4",
"3",
"4",
"1",
"2",
"4",
"4",
"2",
"6",
"2",
"3",
"2",
"4",
"4",
"8",
"3",
"4",
"4",
"2",
"1",
"4",
"2",
"6",
"4",
"6",
"4",
"8",
"2",
"2",
"6",
"4",
"2",
"8",
"3",
"4",
"2",
"9",
"4",
"4",
"4",
"5",
"8",
"4",
"3",
"8",
"4",
"2",
"4",
"6",
"2",
"12",
"1",
"8",
"4",
"2",
"2",
"6",
"6",
"6",
"4",
"4",
"6",
"8",
"4",
"6",
"8",
"4",
"2",
"16",
"2",
"2",
"6",
"4",
"4"
]
| [
"nonn"
]
| 17 | 1 | 3 | [
"A000005",
"A000079",
"A000720",
"A001221",
"A001222",
"A001414",
"A003586",
"A003963",
"A049820",
"A056239",
"A061395",
"A076610",
"A112798",
"A120383",
"A289509",
"A316524",
"A324850",
"A326841",
"A335433",
"A335448",
"A340606",
"A340852",
"A344616",
"A345957",
"A355731",
"A355732",
"A355733",
"A355734",
"A355735",
"A355736",
"A355737",
"A355738",
"A355739",
"A355740",
"A355741",
"A355742",
"A355744",
"A355745",
"A355746",
"A355747",
"A355748"
]
| null | Gus Wiseman, Jul 16 2022 | 2022-07-24T14:13:46 | oeisdata/seq/A355/A355731.seq | cbfe252f0923f82aad92d4efcdc29510 |
A355732 | Least k such that there are exactly n ways to choose a sequence of divisors, one of each element of the multiset of prime indices of k (with multiplicity). | [
"1",
"3",
"7",
"9",
"53",
"21",
"311",
"27",
"49",
"159",
"8161",
"63",
"38873",
"933",
"371",
"81",
"147",
"477",
"2177",
"24483",
"189",
"2809",
"343",
"2799",
"1113",
"243",
"57127",
"16483",
"441",
"1431",
"6531",
"73449",
"2597",
"567",
"96721",
"8427",
"1029",
"8397",
"3339",
"15239",
"729",
"49449",
"1323",
"19663",
"4293",
"2401",
"19593",
"7791"
]
| [
"nonn"
]
| 7 | 1 | 2 | [
"A000005",
"A000720",
"A001221",
"A001222",
"A001414",
"A003963",
"A056239",
"A076610",
"A112798",
"A120383",
"A324850",
"A340606",
"A355731",
"A355732",
"A355733",
"A355734",
"A355735",
"A355736",
"A355737",
"A355738",
"A355739",
"A355740",
"A355741",
"A355742",
"A355744",
"A355746",
"A355747",
"A355748"
]
| null | Gus Wiseman, Jul 21 2022 | 2022-07-22T17:45:12 | oeisdata/seq/A355/A355732.seq | e59556af76a7b6b0aa7edbf6cb1836b4 |
A355733 | Number of multisets that can be obtained by choosing a divisor of each prime index of n. | [
"1",
"1",
"2",
"1",
"2",
"2",
"3",
"1",
"3",
"2",
"2",
"2",
"4",
"3",
"4",
"1",
"2",
"3",
"4",
"2",
"5",
"2",
"3",
"2",
"3",
"4",
"4",
"3",
"4",
"4",
"2",
"1",
"4",
"2",
"6",
"3",
"6",
"4",
"7",
"2",
"2",
"5",
"4",
"2",
"6",
"3",
"4",
"2",
"6",
"3",
"4",
"4",
"5",
"4",
"4",
"3",
"7",
"4",
"2",
"4",
"6",
"2",
"7",
"1",
"7",
"4",
"2",
"2",
"6",
"6",
"6",
"3",
"4",
"6",
"6",
"4",
"6",
"7",
"4",
"2",
"5",
"2",
"2",
"5",
"4",
"4",
"7"
]
| [
"nonn"
]
| 16 | 1 | 3 | [
"A000005",
"A000720",
"A001221",
"A001222",
"A001414",
"A003963",
"A056239",
"A061395",
"A076610",
"A112798",
"A120383",
"A289509",
"A316524",
"A324850",
"A335433",
"A335448",
"A340606",
"A340852",
"A344616",
"A355731",
"A355732",
"A355733",
"A355734",
"A355735",
"A355736",
"A355737",
"A355739",
"A355740",
"A355741",
"A355744",
"A355746",
"A355747"
]
| null | Gus Wiseman, Jul 16 2022 | 2025-04-01T10:27:03 | oeisdata/seq/A355/A355733.seq | 19b9532cac66a26065f1bb0c46c8a228 |
A355734 | Least k such that there are exactly n multisets that can be obtained by choosing a divisor of each prime index of k. | [
"1",
"3",
"7",
"13",
"21",
"35",
"39",
"89",
"133",
"105",
"91",
"195",
"351",
"285",
"247",
"333",
"273",
"481",
"455",
"555",
"623",
"801",
"791",
"741",
"1359",
"1157",
"1281",
"1335",
"1365",
"1443",
"1977",
"1729",
"1967",
"1869",
"2109",
"3185",
"2373",
"2769",
"2639",
"4361",
"3367",
"3653",
"3885",
"3471",
"4613",
"5883",
"5187",
"5551",
"6327"
]
| [
"nonn"
]
| 7 | 1 | 2 | [
"A000005",
"A000720",
"A001221",
"A001222",
"A001414",
"A003963",
"A056239",
"A076610",
"A112798",
"A120383",
"A324850",
"A340852",
"A344606",
"A355731",
"A355732",
"A355733",
"A355734",
"A355735",
"A355736",
"A355737",
"A355739",
"A355740",
"A355741",
"A355744",
"A355747"
]
| null | Gus Wiseman, Jul 21 2022 | 2022-07-22T20:52:04 | oeisdata/seq/A355/A355734.seq | e2b506f7a33569eee17d7130dd988b6d |
A355735 | Number of ways to choose a divisor of each prime index of n (taken in weakly increasing order) such that the result is weakly increasing. | [
"1",
"1",
"2",
"1",
"2",
"2",
"3",
"1",
"3",
"2",
"2",
"2",
"4",
"3",
"3",
"1",
"2",
"3",
"4",
"2",
"5",
"2",
"3",
"2",
"3",
"4",
"4",
"3",
"4",
"3",
"2",
"1",
"3",
"2",
"4",
"3",
"6",
"4",
"7",
"2",
"2",
"5",
"4",
"2",
"4",
"3",
"4",
"2",
"6",
"3",
"3",
"4",
"5",
"4",
"3",
"3",
"7",
"4",
"2",
"3",
"6",
"2",
"7",
"1",
"6",
"3",
"2",
"2",
"5",
"4",
"6",
"3",
"4",
"6",
"4",
"4",
"4",
"7",
"4",
"2",
"5",
"2",
"2",
"5",
"3",
"4",
"7"
]
| [
"nonn"
]
| 11 | 1 | 3 | [
"A000005",
"A000720",
"A001221",
"A001222",
"A001414",
"A003963",
"A056239",
"A061395",
"A076610",
"A112798",
"A120383",
"A316524",
"A324850",
"A335433",
"A335448",
"A340827",
"A340852",
"A344616",
"A355731",
"A355732",
"A355733",
"A355734",
"A355735",
"A355736",
"A355737",
"A355739",
"A355740",
"A355741",
"A355742",
"A355744",
"A355745",
"A355749"
]
| null | Gus Wiseman, Jul 16 2022 | 2022-07-24T14:13:54 | oeisdata/seq/A355/A355735.seq | ebdf7146d3ec05ac7515de04eb73049e |
A355736 | Least k such that there are exactly n ways to choose a divisor of each prime index of k (taken in weakly increasing order) such that the result is also weakly increasing. | [
"1",
"3",
"7",
"13",
"21",
"37",
"39",
"89",
"133",
"117",
"111",
"273",
"351",
"259",
"267",
"333",
"453",
"793",
"669",
"623",
"999",
"777",
"843",
"1491",
"1157",
"1561",
"2863",
"1443",
"1963",
"2331",
"1977",
"1869",
"2899",
"2529",
"3207",
"4107",
"3171",
"5073",
"4329",
"3653",
"4667",
"3471",
"7399",
"4613",
"7587",
"5931",
"7269",
"5889",
"7483"
]
| [
"nonn"
]
| 7 | 1 | 2 | [
"A000005",
"A000720",
"A001221",
"A001222",
"A001414",
"A003963",
"A056239",
"A076610",
"A112798",
"A120383",
"A324850",
"A355731",
"A355732",
"A355733",
"A355734",
"A355735",
"A355736",
"A355737",
"A355739",
"A355740",
"A355741",
"A355744",
"A355745",
"A355749"
]
| null | Gus Wiseman, Jul 21 2022 | 2022-07-22T20:51:59 | oeisdata/seq/A355/A355736.seq | 4f9f7f51c6a057e4a809fd02a6465dde |
A355737 | Number of ways to choose a sequence of divisors, one of each prime index of n (with multiplicity), such that the result has no common divisor > 1. | [
"0",
"1",
"1",
"1",
"1",
"2",
"1",
"1",
"3",
"2",
"1",
"2",
"1",
"3",
"4",
"1",
"1",
"4",
"1",
"2",
"4",
"2",
"1",
"2",
"3",
"4",
"7",
"3",
"1",
"4",
"1",
"1",
"4",
"2",
"6",
"4",
"1",
"4",
"6",
"2",
"1",
"6",
"1",
"2",
"8",
"3",
"1",
"2",
"5",
"4",
"4",
"4",
"1",
"8",
"4",
"3",
"5",
"4",
"1",
"4",
"1",
"2",
"10",
"1",
"6",
"4",
"1",
"2",
"6",
"6",
"1",
"4",
"1",
"6",
"8",
"4",
"6",
"8",
"1",
"2",
"15",
"2",
"1",
"6",
"4",
"4"
]
| [
"nonn"
]
| 11 | 1 | 6 | [
"A000005",
"A000720",
"A001221",
"A001222",
"A001414",
"A003963",
"A007359",
"A051424",
"A056239",
"A076610",
"A112798",
"A120383",
"A289507",
"A289508",
"A289509",
"A296150",
"A302696",
"A302697",
"A302698",
"A302796",
"A324850",
"A355731",
"A355732",
"A355733",
"A355735",
"A355737",
"A355738",
"A355739",
"A355740",
"A355741",
"A355742",
"A355744",
"A355745",
"A355748"
]
| null | Gus Wiseman, Jul 17 2022 | 2022-07-18T22:49:49 | oeisdata/seq/A355/A355737.seq | c74b5c66714eb2725c246e27063917c4 |
A355738 | Least k such that there are exactly n ways to choose a sequence of divisors, one of each prime index of k (with multiplicity), such that the result has no common divisor > 1. | [
"1",
"2",
"6",
"9",
"15",
"49",
"35",
"27",
"45",
"98",
"63",
"105",
"171",
"117",
"81",
"135",
"245",
"343",
"273",
"549",
"189",
"1083",
"315",
"5618",
"741",
"686",
"507",
"513",
"351",
"243",
"405",
"7467",
"6419",
"5575",
"735",
"6859",
"1813",
"3231",
"1183",
"1197",
"3537",
"819",
"1647",
"567",
"945",
"2197",
"8397",
"3211",
"1715",
"3249",
"3367"
]
| [
"nonn"
]
| 7 | 1 | 2 | [
"A000005",
"A000720",
"A001221",
"A001222",
"A001414",
"A003963",
"A007359",
"A051424",
"A056239",
"A076610",
"A112798",
"A120383",
"A289508",
"A289509",
"A302696",
"A302697",
"A302698",
"A302796",
"A324850",
"A355731",
"A355732",
"A355733",
"A355735",
"A355737",
"A355738",
"A355739",
"A355741",
"A355748"
]
| null | Gus Wiseman, Jul 21 2022 | 2022-07-22T20:51:54 | oeisdata/seq/A355/A355738.seq | 65473a4e1423184f5b9a0c676e2ce748 |
A355739 | Number of ways to choose a sequence of all different divisors, one of each prime index of n (with multiplicity). | [
"1",
"1",
"2",
"0",
"2",
"1",
"3",
"0",
"2",
"1",
"2",
"0",
"4",
"2",
"3",
"0",
"2",
"0",
"4",
"0",
"4",
"1",
"3",
"0",
"2",
"3",
"0",
"0",
"4",
"1",
"2",
"0",
"3",
"1",
"5",
"0",
"6",
"3",
"6",
"0",
"2",
"1",
"4",
"0",
"2",
"2",
"4",
"0",
"6",
"0",
"3",
"0",
"5",
"0",
"3",
"0",
"6",
"3",
"2",
"0",
"6",
"1",
"2",
"0",
"6",
"1",
"2",
"0",
"5",
"2",
"6",
"0",
"4",
"5",
"2",
"0",
"5",
"2",
"4",
"0",
"0",
"1",
"2",
"0",
"3",
"3",
"6"
]
| [
"nonn"
]
| 7 | 1 | 3 | [
"A000005",
"A000720",
"A001221",
"A001222",
"A001414",
"A003963",
"A056239",
"A076610",
"A112798",
"A120383",
"A289508",
"A289509",
"A302796",
"A355535",
"A355537",
"A355731",
"A355732",
"A355733",
"A355735",
"A355737",
"A355738",
"A355739",
"A355740",
"A355741",
"A355742",
"A355744",
"A355748"
]
| null | Gus Wiseman, Jul 18 2022 | 2022-07-19T08:04:21 | oeisdata/seq/A355/A355739.seq | e0e44421ea40ddd08af60708ab4c2a26 |
A355740 | Numbers of which it is not possible to choose a different divisor of each prime index. | [
"4",
"8",
"12",
"16",
"18",
"20",
"24",
"27",
"28",
"32",
"36",
"40",
"44",
"48",
"50",
"52",
"54",
"56",
"60",
"64",
"68",
"72",
"76",
"80",
"81",
"84",
"88",
"90",
"92",
"96",
"100",
"104",
"108",
"112",
"116",
"120",
"124",
"125",
"126",
"128",
"132",
"135",
"136",
"140",
"144",
"148",
"150",
"152",
"156",
"160",
"162",
"164",
"168",
"172",
"176",
"180",
"184",
"188"
]
| [
"nonn"
]
| 15 | 1 | 1 | [
"A000005",
"A000720",
"A001221",
"A001222",
"A001414",
"A003963",
"A056239",
"A076610",
"A112798",
"A120383",
"A324850",
"A335433",
"A335448",
"A340827",
"A355529",
"A355535",
"A355731",
"A355732",
"A355733",
"A355734",
"A355737",
"A355739",
"A355740",
"A355741",
"A355744",
"A355745",
"A355749",
"A370348"
]
| null | Gus Wiseman, Jul 22 2022 | 2024-02-16T09:56:59 | oeisdata/seq/A355/A355740.seq | 219e437a5cbdb2aa438af94598a7f0de |
A355741 | Number of ways to choose a sequence of prime factors, one of each prime index of n. | [
"1",
"0",
"1",
"0",
"1",
"0",
"1",
"0",
"1",
"0",
"1",
"0",
"2",
"0",
"1",
"0",
"1",
"0",
"1",
"0",
"1",
"0",
"1",
"0",
"1",
"0",
"1",
"0",
"2",
"0",
"1",
"0",
"1",
"0",
"1",
"0",
"2",
"0",
"2",
"0",
"1",
"0",
"2",
"0",
"1",
"0",
"2",
"0",
"1",
"0",
"1",
"0",
"1",
"0",
"1",
"0",
"1",
"0",
"1",
"0",
"2",
"0",
"1",
"0",
"2",
"0",
"1",
"0",
"1",
"0",
"2",
"0",
"2",
"0",
"1",
"0",
"1",
"0",
"2",
"0",
"1",
"0",
"1",
"0",
"1",
"0",
"2"
]
| [
"nonn",
"mult"
]
| 8 | 1 | 13 | [
"A000720",
"A001221",
"A001222",
"A001414",
"A003963",
"A056239",
"A061395",
"A076610",
"A112798",
"A120383",
"A289509",
"A299174",
"A324850",
"A335433",
"A355731",
"A355732",
"A355733",
"A355735",
"A355737",
"A355739",
"A355741",
"A355742",
"A355743",
"A355744",
"A355745",
"A355746",
"A355747"
]
| null | Gus Wiseman, Jul 18 2022 | 2022-07-19T08:04:16 | oeisdata/seq/A355/A355741.seq | 4ebeafd1d68b5cb9733ace7647aa8d69 |
A355742 | Number of ways to choose a sequence of prime-power divisors, one of each prime index of n. Product of bigomega over the prime indices of n, with multiplicity. | [
"1",
"0",
"1",
"0",
"1",
"0",
"2",
"0",
"1",
"0",
"1",
"0",
"2",
"0",
"1",
"0",
"1",
"0",
"3",
"0",
"2",
"0",
"2",
"0",
"1",
"0",
"1",
"0",
"2",
"0",
"1",
"0",
"1",
"0",
"2",
"0",
"3",
"0",
"2",
"0",
"1",
"0",
"2",
"0",
"1",
"0",
"2",
"0",
"4",
"0",
"1",
"0",
"4",
"0",
"1",
"0",
"3",
"0",
"1",
"0",
"3",
"0",
"2",
"0",
"2",
"0",
"1",
"0",
"2",
"0",
"3",
"0",
"2",
"0",
"1",
"0",
"2",
"0",
"2",
"0",
"1",
"0",
"1",
"0",
"1",
"0",
"2"
]
| [
"nonn",
"mult"
]
| 8 | 1 | 7 | [
"A000688",
"A000720",
"A001221",
"A001222",
"A001414",
"A001970",
"A003963",
"A056239",
"A061260",
"A076610",
"A112798",
"A120383",
"A279784",
"A289509",
"A299174",
"A324850",
"A355731",
"A355732",
"A355733",
"A355735",
"A355739",
"A355741",
"A355742",
"A355743",
"A355744",
"A355745",
"A355746"
]
| null | Gus Wiseman, Jul 20 2022 | 2022-07-21T07:40:40 | oeisdata/seq/A355/A355742.seq | 885e93da7751286335ae98a097a80aa4 |
A355743 | Numbers whose prime indices are all prime-powers. | [
"1",
"3",
"5",
"7",
"9",
"11",
"15",
"17",
"19",
"21",
"23",
"25",
"27",
"31",
"33",
"35",
"41",
"45",
"49",
"51",
"53",
"55",
"57",
"59",
"63",
"67",
"69",
"75",
"77",
"81",
"83",
"85",
"93",
"95",
"97",
"99",
"103",
"105",
"109",
"115",
"119",
"121",
"123",
"125",
"127",
"131",
"133",
"135",
"147",
"153",
"155",
"157",
"159",
"161",
"165",
"171",
"175",
"177",
"179",
"187"
]
| [
"nonn"
]
| 13 | 1 | 2 | [
"A000688",
"A000961",
"A001222",
"A023893",
"A023894",
"A034699",
"A050361",
"A054685",
"A076610",
"A085970",
"A106244",
"A164336",
"A246655",
"A279784",
"A295935",
"A302492",
"A302493",
"A302590",
"A302601",
"A354911",
"A355731",
"A355741",
"A355742",
"A355743",
"A356064",
"A356065",
"A356066"
]
| null | Gus Wiseman, Jul 24 2022 | 2025-04-02T09:51:14 | oeisdata/seq/A355/A355743.seq | 2a061ba956b4fa0a326ac97e720be3ef |
A355744 | Number of multisets that can be obtained by choosing a prime factor of each prime index of n. | [
"1",
"0",
"1",
"0",
"1",
"0",
"1",
"0",
"1",
"0",
"1",
"0",
"2",
"0",
"1",
"0",
"1",
"0",
"1",
"0",
"1",
"0",
"1",
"0",
"1",
"0",
"1",
"0",
"2",
"0",
"1",
"0",
"1",
"0",
"1",
"0",
"2",
"0",
"2",
"0",
"1",
"0",
"2",
"0",
"1",
"0",
"2",
"0",
"1",
"0",
"1",
"0",
"1",
"0",
"1",
"0",
"1",
"0",
"1",
"0",
"2",
"0",
"1",
"0",
"2",
"0",
"1",
"0",
"1",
"0",
"2",
"0",
"2",
"0",
"1",
"0",
"1",
"0",
"2",
"0",
"1",
"0",
"1",
"0",
"1",
"0",
"2"
]
| [
"nonn"
]
| 6 | 1 | 13 | [
"A000720",
"A001221",
"A001222",
"A001414",
"A003963",
"A056239",
"A076610",
"A112798",
"A120383",
"A289509",
"A324850",
"A335433",
"A340852",
"A344606",
"A355731",
"A355733",
"A355734",
"A355735",
"A355737",
"A355739",
"A355740",
"A355741",
"A355744",
"A355745"
]
| null | Gus Wiseman, Jul 18 2022 | 2022-07-19T08:04:12 | oeisdata/seq/A355/A355744.seq | 78dd7590805dd3d7e0edfd0661e2c3a5 |
A355745 | Number of ways to choose a prime factor of each prime index of n (with multiplicity, in weakly increasing order) such that the result is also weakly increasing. | [
"1",
"0",
"1",
"0",
"1",
"0",
"1",
"0",
"1",
"0",
"1",
"0",
"2",
"0",
"1",
"0",
"1",
"0",
"1",
"0",
"1",
"0",
"1",
"0",
"1",
"0",
"1",
"0",
"2",
"0",
"1",
"0",
"1",
"0",
"0",
"0",
"2",
"0",
"2",
"0",
"1",
"0",
"2",
"0",
"1",
"0",
"2",
"0",
"1",
"0",
"1",
"0",
"1",
"0",
"1",
"0",
"1",
"0",
"1",
"0",
"2",
"0",
"1",
"0",
"1",
"0",
"1",
"0",
"1",
"0",
"2",
"0",
"2",
"0",
"1",
"0",
"1",
"0",
"2",
"0",
"1",
"0",
"1",
"0",
"1",
"0",
"2"
]
| [
"nonn"
]
| 6 | 1 | 13 | [
"A000005",
"A000720",
"A001221",
"A001222",
"A001414",
"A003963",
"A056239",
"A076610",
"A112798",
"A120383",
"A324850",
"A335433",
"A340852",
"A355731",
"A355732",
"A355733",
"A355734",
"A355735",
"A355736",
"A355737",
"A355739",
"A355740",
"A355741",
"A355742",
"A355744",
"A355745",
"A355749"
]
| null | Gus Wiseman, Jul 18 2022 | 2022-07-19T08:04:07 | oeisdata/seq/A355/A355745.seq | 23907e62369aa29cfa71e175a4e4d674 |
A355746 | Number of different multisets that can be obtained by choosing a prime index (or a prime factor) of each integer from 2 to n. | [
"1",
"1",
"1",
"1",
"1",
"2",
"2",
"2",
"2",
"4",
"4",
"6",
"6",
"12",
"20",
"20",
"20",
"26",
"26",
"36",
"58",
"116",
"116",
"140",
"140",
"280",
"280",
"384",
"384",
"536",
"536",
"536",
"844",
"1688",
"2380",
"2716",
"2716",
"5432",
"8484",
"10152",
"10152",
"13308",
"13308",
"18064",
"21616",
"43232",
"43232",
"47648",
"47648",
"54656",
"84480",
"114304",
"114304"
]
| [
"nonn"
]
| 16 | 1 | 6 | [
"A000040",
"A000096",
"A000142",
"A000720",
"A001221",
"A001222",
"A001414",
"A002110",
"A003963",
"A056239",
"A070826",
"A076610",
"A112798",
"A131818",
"A327486",
"A355537",
"A355538",
"A355731",
"A355733",
"A355740",
"A355741",
"A355742",
"A355744",
"A355745",
"A355746",
"A355747"
]
| null | Gus Wiseman, Jul 20 2022 | 2022-08-03T12:40:02 | oeisdata/seq/A355/A355746.seq | e3872a534aa2fc48337f4d125448de0e |
A355747 | Number of multisets that can be obtained by choosing a divisor of each positive integer from 1 to n. | [
"1",
"1",
"2",
"4",
"10",
"20",
"58",
"116",
"320",
"772",
"2170",
"4340",
"14112",
"28224",
"78120",
"212004",
"612232",
"1224464",
"3873760",
"7747520",
"24224608",
"64595088",
"175452168",
"350904336"
]
| [
"nonn",
"more"
]
| 21 | 0 | 3 | [
"A000005",
"A000040",
"A000096",
"A000142",
"A000720",
"A001221",
"A001222",
"A001414",
"A002110",
"A006218",
"A066843",
"A070826",
"A076610",
"A131818",
"A327486",
"A355537",
"A355538",
"A355731",
"A355733",
"A355737",
"A355741",
"A355744",
"A355745",
"A355746",
"A355747"
]
| null | Gus Wiseman, Jul 20 2022 | 2022-08-08T14:21:11 | oeisdata/seq/A355/A355747.seq | d5ce769ec9d162c415001fb344eaa1df |
A355748 | Number of ways to choose a sequence of divisors, one of each part of the n-th composition in standard order. | [
"1",
"1",
"2",
"1",
"2",
"2",
"2",
"1",
"3",
"2",
"4",
"2",
"2",
"2",
"2",
"1",
"2",
"3",
"4",
"2",
"4",
"4",
"4",
"2",
"3",
"2",
"4",
"2",
"2",
"2",
"2",
"1",
"4",
"2",
"6",
"3",
"4",
"4",
"4",
"2",
"6",
"4",
"8",
"4",
"4",
"4",
"4",
"2",
"2",
"3",
"4",
"2",
"4",
"4",
"4",
"2",
"3",
"2",
"4",
"2",
"2",
"2",
"2",
"1",
"2",
"4",
"4",
"2",
"6",
"6",
"6",
"3",
"6",
"4",
"8",
"4",
"4",
"4",
"4",
"2",
"4",
"6",
"8",
"4",
"8",
"8",
"8"
]
| [
"nonn"
]
| 9 | 0 | 3 | [
"A000005",
"A000079",
"A000120",
"A003963",
"A005811",
"A029837",
"A066099",
"A124767",
"A175413",
"A238279",
"A274174",
"A326841",
"A333381",
"A333755",
"A353847",
"A353848",
"A353849",
"A353850",
"A353851",
"A353852",
"A354578",
"A354904",
"A354905",
"A355731",
"A355732",
"A355733",
"A355735",
"A355737",
"A355739",
"A355747",
"A355748"
]
| null | Gus Wiseman, Jul 23 2022 | 2022-07-23T23:07:40 | oeisdata/seq/A355/A355748.seq | bc1c4102ec81ab5e55906ccd99e4e623 |
A355749 | Number of ways to choose a weakly decreasing sequence of divisors, one of each prime index of n (with multiplicity, taken in weakly increasing order). | [
"1",
"1",
"2",
"1",
"2",
"1",
"3",
"1",
"3",
"1",
"2",
"1",
"4",
"1",
"2",
"1",
"2",
"1",
"4",
"1",
"3",
"1",
"3",
"1",
"3",
"1",
"4",
"1",
"4",
"1",
"2",
"1",
"2",
"1",
"3",
"1",
"6",
"1",
"3",
"1",
"2",
"1",
"4",
"1",
"3",
"1",
"4",
"1",
"6",
"1",
"2",
"1",
"5",
"1",
"2",
"1",
"3",
"1",
"2",
"1",
"6",
"1",
"4",
"1",
"4",
"1",
"2",
"1",
"2",
"1",
"6",
"1",
"4",
"1",
"2",
"1",
"3",
"1",
"4",
"1",
"5",
"1",
"2",
"1",
"2",
"1",
"3"
]
| [
"nonn"
]
| 5 | 1 | 3 | [
"A000005",
"A000720",
"A001221",
"A001222",
"A001414",
"A003963",
"A056239",
"A061395",
"A076610",
"A112798",
"A120383",
"A316524",
"A324850",
"A355731",
"A355732",
"A355733",
"A355734",
"A355735",
"A355736",
"A355737",
"A355739",
"A355740",
"A355741",
"A355742",
"A355744",
"A355745",
"A355749"
]
| null | Gus Wiseman, Jul 18 2022 | 2022-07-19T08:03:43 | oeisdata/seq/A355/A355749.seq | df909fef35520cf5fa258f261ff0e78e |
A355750 | Sum of the divisors of 2n minus the number of divisors of 2n. | [
"1",
"4",
"8",
"11",
"14",
"22",
"20",
"26",
"33",
"36",
"32",
"52",
"38",
"50",
"64",
"57",
"50",
"82",
"56",
"82",
"88",
"78",
"68",
"114",
"87",
"92",
"112",
"112",
"86",
"156",
"92",
"120",
"136",
"120",
"136",
"183",
"110",
"134",
"160",
"176",
"122",
"212",
"128",
"172",
"222",
"162",
"140",
"240",
"165",
"208",
"208",
"202",
"158",
"268",
"208",
"238",
"232",
"204",
"176",
"344",
"182"
]
| [
"nonn",
"easy"
]
| 10 | 1 | 2 | [
"A000005",
"A000203",
"A062731",
"A065608",
"A099777",
"A355750"
]
| null | Wesley Ivan Hurt, Jul 15 2022 | 2022-07-18T19:41:40 | oeisdata/seq/A355/A355750.seq | e5e2add8f4b6d867d2d4aa1f003478b5 |
A355751 | Positive numbers k such that the centered cube number k^3 + (k+1)^3 is equal to the difference of two positive cubes and to A352759(n). | [
"4",
"121",
"562",
"1543",
"3280",
"5989",
"9886",
"15187",
"22108",
"30865",
"41674",
"54751",
"70312",
"88573",
"109750",
"134059",
"161716",
"192937",
"227938",
"266935",
"310144",
"357781",
"410062",
"467203",
"529420",
"596929",
"669946",
"748687",
"833368",
"924205",
"1021414",
"1125211",
"1235812",
"1353433"
]
| [
"nonn",
"easy"
]
| 21 | 1 | 1 | [
"A001235",
"A005898",
"A272885",
"A352133",
"A352134",
"A352135",
"A352136",
"A352220",
"A352222",
"A352223",
"A352224",
"A352225",
"A352755",
"A352756",
"A352757",
"A352758",
"A352759",
"A355751",
"A355752",
"A355753"
]
| null | Vladimir Pletser, Jul 15 2022 | 2025-02-16T08:34:03 | oeisdata/seq/A355/A355751.seq | 9f2860cc54ee3dd31fe7741d7ca64015 |
A355752 | a(n) = 3*(2*n - 1)*( 3*(2*n - 1)^3 + 1) / 2. | [
"6",
"369",
"2820",
"10815",
"29538",
"65901",
"128544",
"227835",
"375870",
"586473",
"875196",
"1259319",
"1757850",
"2391525",
"3182808",
"4155891",
"5336694",
"6752865",
"8433780",
"10410543",
"12715986",
"15384669",
"18452880",
"21958635",
"25941678",
"30443481",
"35507244",
"41177895",
"47502090",
"54528213",
"62306376",
"70888419",
"80327910",
"90680145",
"102002148",
"114352671",
"127792194"
]
| [
"nonn",
"easy"
]
| 17 | 1 | 1 | [
"A001235",
"A005898",
"A272885",
"A352133",
"A352134",
"A352135",
"A352136",
"A352220",
"A352221",
"A352223",
"A352224",
"A352225",
"A352755",
"A352756",
"A352757",
"A352758",
"A352759",
"A355751",
"A355752",
"A355753"
]
| null | Vladimir Pletser, Jul 15 2022 | 2025-02-16T08:34:03 | oeisdata/seq/A355/A355752.seq | 04a85ac8623b1ec03b5c963a137a49cb |
A355753 | a(n) = 3*(2*n - 1)*( 3*(2*n - 1)^3 - 1) / 2 for n > 0. | [
"3",
"360",
"2805",
"10794",
"29511",
"65868",
"128505",
"227790",
"375819",
"586416",
"875133",
"1259250",
"1757775",
"2391444",
"3182721",
"4155798",
"5336595",
"6752760",
"8433669",
"10410426",
"12715863",
"15384540",
"18452745",
"21958494",
"25941531",
"30443328",
"35507085",
"41177730",
"47501919",
"54528036",
"62306193",
"70888230",
"80327715",
"90679944",
"102001941",
"114352458",
"127791975"
]
| [
"nonn",
"easy"
]
| 11 | 1 | 1 | [
"A001235",
"A005898",
"A272885",
"A352133",
"A352134",
"A352135",
"A352136",
"A352220",
"A352221",
"A352222",
"A352224",
"A352225",
"A352755",
"A352756",
"A352757",
"A352759",
"A355751",
"A355752",
"A355753"
]
| null | Vladimir Pletser, Jul 15 2022 | 2025-02-16T08:34:03 | oeisdata/seq/A355/A355753.seq | d4701a21a371a53a9eed53934600b138 |
A355754 | Irregular triangle read by rows: T(n,k) is the number of unlabeled n-node graphs with intersection number (or edge clique cover number) k; n >= 1, 0 <= k <= floor(n^2/4). | [
"1",
"1",
"1",
"1",
"2",
"1",
"1",
"3",
"4",
"2",
"1",
"1",
"4",
"9",
"10",
"7",
"2",
"1",
"1",
"5",
"17",
"36",
"46",
"30",
"14",
"4",
"2",
"1",
"1",
"6",
"28",
"97",
"219",
"281",
"226",
"116",
"45",
"18",
"5",
"1",
"1",
"1",
"7",
"43",
"226",
"872",
"2104",
"3170",
"2927",
"1774",
"793",
"290",
"87",
"37",
"9",
"3",
"2",
"1",
"1",
"8",
"62",
"472",
"2966",
"12882",
"36595",
"63842",
"69294",
"48881",
"24939",
"9808",
"3387",
"1059",
"313",
"107",
"37",
"9",
"4",
"1",
"1"
]
| [
"nonn",
"tabf"
]
| 23 | 1 | 5 | [
"A000088",
"A005744",
"A355754",
"A355755"
]
| null | Pontus von Brömssen, Jul 16 2022 | 2025-04-02T10:26:26 | oeisdata/seq/A355/A355754.seq | 25910baca2e078219f860134bc192ced |
A355755 | Irregular triangle read by rows: T(n,k) is the number of unlabeled connected n-node graphs with intersection number (or edge clique cover number) k; n >= 1, 0 <= k <= floor(n^2/4). | [
"1",
"0",
"1",
"0",
"1",
"1",
"0",
"1",
"2",
"2",
"1",
"0",
"1",
"4",
"7",
"6",
"2",
"1",
"0",
"1",
"6",
"22",
"36",
"27",
"13",
"4",
"2",
"1",
"0",
"1",
"9",
"53",
"161",
"242",
"209",
"111",
"43",
"17",
"5",
"1",
"1",
"0",
"1",
"12",
"114",
"611",
"1766",
"2903",
"2793",
"1723",
"773",
"284",
"86",
"36",
"9",
"3",
"2",
"1",
"0",
"1",
"16",
"221",
"1987",
"10517",
"33078",
"60639",
"67379",
"48035",
"24628",
"9715",
"3349",
"1049",
"310",
"105",
"36",
"9",
"4",
"1",
"1"
]
| [
"nonn",
"tabf"
]
| 19 | 1 | 9 | [
"A001349",
"A002620",
"A355754",
"A355755"
]
| null | Pontus von Brömssen, Jul 16 2022 | 2024-04-26T07:58:17 | oeisdata/seq/A355/A355755.seq | 0ac4649e51cfd066150d1ad780fff1dc |
A355756 | Triangle read by rows: A(n,k) is the intersection number of the Turán graph T(n,k), 1 <= k <= n. | [
"0",
"0",
"1",
"0",
"2",
"1",
"0",
"4",
"2",
"1",
"0",
"6",
"4",
"2",
"1",
"0",
"9",
"4",
"4",
"2",
"1",
"0",
"12",
"6",
"4",
"4",
"2",
"1",
"0",
"16",
"9",
"5",
"4",
"4",
"2",
"1",
"0",
"20",
"9",
"6",
"5",
"4",
"4",
"2",
"1",
"0",
"25",
"12",
"9",
"6",
"5",
"4",
"4",
"2",
"1",
"0",
"30",
"16",
"9",
"6",
"6",
"5",
"4",
"4",
"2",
"1"
]
| [
"nonn",
"tabl",
"more"
]
| 8 | 1 | 5 | [
"A002620",
"A008133",
"A355754",
"A355756"
]
| null | Pontus von Brömssen, Jul 16 2022 | 2022-07-18T19:29:58 | oeisdata/seq/A355/A355756.seq | 8a2db15a80c430c8ff1ac02b080d0384 |
A355757 | Smallest n-layered number. | [
"1",
"6",
"120",
"27720",
"147026880",
"130429015516800",
"1970992304700453905270400",
"1897544233056092162003806758651798777216000"
]
| [
"nonn",
"hard",
"more"
]
| 36 | 1 | 2 | [
"A083207",
"A204830",
"A204831",
"A355757"
]
| null | Michel Marcus, Jul 20 2022 | 2022-07-20T11:15:42 | oeisdata/seq/A355/A355757.seq | 3429d5aa7031da343b35cabae7f7fac2 |
A355758 | Irregular triangle read by rows in which row n lists the divisors of n that are Fibonacci numbers. | [
"1",
"1",
"2",
"1",
"3",
"1",
"2",
"1",
"5",
"1",
"2",
"3",
"1",
"1",
"2",
"8",
"1",
"3",
"1",
"2",
"5",
"1",
"1",
"2",
"3",
"1",
"13",
"1",
"2",
"1",
"3",
"5",
"1",
"2",
"8",
"1",
"1",
"2",
"3",
"1",
"1",
"2",
"5",
"1",
"3",
"21",
"1",
"2",
"1",
"1",
"2",
"3",
"8",
"1",
"5",
"1",
"2",
"13",
"1",
"3",
"1",
"2",
"1",
"1",
"2",
"3",
"5",
"1",
"1",
"2",
"8",
"1",
"3",
"1",
"2",
"34",
"1",
"5",
"1",
"2",
"3",
"1",
"1",
"2",
"1",
"3",
"13",
"1",
"2",
"5",
"8"
]
| [
"nonn",
"tabf"
]
| 10 | 1 | 3 | [
"A000012",
"A000045",
"A005086",
"A005092",
"A010056",
"A027750",
"A054494",
"A355758"
]
| null | Michel Marcus, Jul 16 2022 | 2022-07-16T11:55:51 | oeisdata/seq/A355/A355758.seq | b4bd5da8f5481e11efc88bf6dd32e713 |
A355759 | Sums of the first ceiling((n+1)/2) entries on the diagonals of a square spiral with a starting value of 1 in the center, where the diagonal and the antidiagonal are used alternately. | [
"1",
"4",
"6",
"11",
"15",
"24",
"32",
"45",
"57",
"76",
"94",
"119",
"143",
"176",
"208",
"249",
"289",
"340",
"390",
"451",
"511",
"584",
"656",
"741",
"825",
"924",
"1022",
"1135",
"1247",
"1376",
"1504",
"1649",
"1793",
"1956",
"2118",
"2299",
"2479",
"2680",
"2880",
"3101",
"3321",
"3564",
"3806",
"4071",
"4335",
"4624",
"4912",
"5225",
"5537",
"5876",
"6214",
"6579",
"6943"
]
| [
"nonn",
"easy"
]
| 53 | 1 | 2 | [
"A006527",
"A106607",
"A114254",
"A200975",
"A208995",
"A355759"
]
| null | Karl-Heinz Hofmann, Aug 14 2022 | 2022-11-21T10:01:07 | oeisdata/seq/A355/A355759.seq | 4cefe35e54dbda5931aed65e8e2bf687 |
A355760 | a(n) is the number of grid points in a square lattice covered by the area enclosed by n loops of an Archimedean spiral with starting point (0, 0) and endpoint (n, 0). | [
"1",
"2",
"8",
"21",
"40",
"64",
"97",
"132",
"178",
"228",
"282",
"350",
"415",
"492",
"574",
"660",
"756",
"855",
"962",
"1076",
"1195",
"1322",
"1451",
"1590",
"1736",
"1885",
"2044",
"2204",
"2378",
"2552",
"2734",
"2922",
"3116",
"3317",
"3525",
"3741",
"3960",
"4187",
"4416",
"4655",
"4900",
"5154",
"5410",
"5674",
"5946",
"6223",
"6502",
"6791",
"7087",
"7391",
"7698"
]
| [
"nonn"
]
| 40 | 0 | 2 | [
"A000328",
"A046109",
"A295344",
"A355760"
]
| null | Karl-Heinz Hofmann, Jul 16 2022 | 2022-08-07T07:53:45 | oeisdata/seq/A355/A355760.seq | 31292f03dc9b5544759618ac3b1f4a56 |
A355761 | a(n) is the number of grid points in a square lattice strictly outside of the area enclosed by n loops of an Archimedean spiral and inside (or on the boundary) of a circle with radius n. | [
"0",
"3",
"5",
"8",
"9",
"17",
"16",
"17",
"19",
"25",
"35",
"27",
"26",
"37",
"39",
"49",
"41",
"46",
"47",
"53",
"62",
"51",
"66",
"63",
"57",
"76",
"77",
"85",
"75",
"77",
"87",
"79",
"93",
"92",
"100",
"112",
"93",
"106",
"97",
"122",
"125",
"107",
"115",
"115",
"131",
"138",
"123",
"130",
"126",
"134",
"147",
"164",
"163",
"149",
"151",
"148",
"171",
"159",
"172",
"160",
"172",
"180",
"176"
]
| [
"nonn"
]
| 13 | 0 | 2 | [
"A000328",
"A355760",
"A355761"
]
| null | Karl-Heinz Hofmann, Jul 29 2022 | 2022-09-01T18:56:30 | oeisdata/seq/A355/A355761.seq | 0bf243f65089f20e7485526d9104c749 |
A355762 | E.g.f. satisfies log(A(x)) = (exp(x*A(x)) - 1) * A(x)^2. | [
"1",
"1",
"8",
"125",
"2987",
"96727",
"3963841",
"196769897",
"11480304448",
"770031502467",
"58386951857583",
"4938864464154469",
"461111056016847137",
"47101341445053180079",
"5225323162578044669492",
"625646891309723527419137",
"80416734865584980392853799",
"11044230667889978466327860347"
]
| [
"nonn"
]
| 11 | 0 | 3 | [
"A030019",
"A162656",
"A349557",
"A355762",
"A355763",
"A355766"
]
| null | Seiichi Manyama, Jul 16 2022 | 2022-07-16T11:50:35 | oeisdata/seq/A355/A355762.seq | 629c1bebeb1911e78aedf8caf1139476 |
A355763 | E.g.f. satisfies A(x)^2 * log(A(x)) = exp(x*A(x)) - 1. | [
"1",
"1",
"0",
"5",
"-13",
"207",
"-1791",
"28849",
"-438600",
"8619291",
"-181134313",
"4381744589",
"-115439041983",
"3356162869607",
"-105668550658100",
"3600058076291465",
"-131618721053773713",
"5146452228945999699",
"-214171122214841864975",
"9454288479242533668837"
]
| [
"sign"
]
| 14 | 0 | 4 | [
"A030019",
"A349588",
"A349654",
"A355762",
"A355763"
]
| null | Seiichi Manyama, Jul 16 2022 | 2022-07-16T11:49:42 | oeisdata/seq/A355/A355763.seq | 67e883dd7691fa68d144d44df3f37428 |
A355764 | E.g.f. satisfies log(A(x)) = (1 - exp(-x*A(x))) * A(x)^2. | [
"1",
"1",
"6",
"77",
"1533",
"41547",
"1427789",
"59501185",
"2916185862",
"164377512831",
"10477134939301",
"745130845917317",
"58499605416732225",
"5025399546258317683",
"468897159717886522970",
"47222645752129576973609",
"5105611277081800029406545",
"589843003782904742592169479"
]
| [
"nonn"
]
| 10 | 0 | 3 | [
"A334986",
"A349558",
"A355764"
]
| null | Seiichi Manyama, Jul 16 2022 | 2022-07-16T11:49:56 | oeisdata/seq/A355/A355764.seq | 0bca54b322db9f89c586229f00d267bd |
A355765 | E.g.f. satisfies A(x)^2 * log(A(x)) = 1 - exp(-x*A(x)). | [
"1",
"1",
"-2",
"5",
"-27",
"307",
"-4403",
"71353",
"-1333090",
"28816647",
"-709090995",
"19516306141",
"-593330123807",
"19747569261851",
"-714304238263502",
"27903505800651169",
"-1170716239531658759",
"52503701213718494671",
"-2506483879112555156467",
"126905975195788734150405"
]
| [
"sign"
]
| 11 | 0 | 3 | [
"A334986",
"A349589",
"A355765"
]
| null | Seiichi Manyama, Jul 16 2022 | 2022-07-16T11:49:34 | oeisdata/seq/A355/A355765.seq | fabfe8b37fe7d4fe0174511c37893a3a |
A355766 | E.g.f. satisfies A(x) = 1/(1 - x*A(x))^(A(x)^2). | [
"1",
"1",
"8",
"126",
"3028",
"98540",
"4056948",
"202301456",
"11855415920",
"798682318848",
"60823290655680",
"5167260183157248",
"484519323081722784",
"49705696509114472320",
"5537956421036240838336",
"665926312161296782156800",
"85960998514145805006711552"
]
| [
"nonn"
]
| 14 | 0 | 3 | [
"A001761",
"A349556",
"A355766"
]
| null | Seiichi Manyama, Jul 16 2022 | 2022-07-21T03:51:23 | oeisdata/seq/A355/A355766.seq | 2e2e0b94ce865dbf35220c0f0f1a84d6 |
A355767 | E.g.f. satisfies A(x)^(A(x)^2) = 1/(1 - x*A(x)). | [
"1",
"1",
"0",
"6",
"-4",
"300",
"-828",
"42224",
"-266992",
"11916864",
"-132472320",
"5688511488",
"-95465876064",
"4138883728512",
"-95019458907072",
"4276023328128000",
"-125481256750340352",
"5958015717717504000",
"-212934915549001078272",
"10767675634298110255104"
]
| [
"sign"
]
| 11 | 0 | 4 | [
"A001761",
"A141209",
"A355767",
"A355768"
]
| null | Seiichi Manyama, Jul 16 2022 | 2022-07-16T11:50:15 | oeisdata/seq/A355/A355767.seq | 739f746f265448150c82df58a87a2dd3 |
A355768 | E.g.f. satisfies A(x)^(A(x)^2) = 1 + x*A(x). | [
"1",
"1",
"-2",
"6",
"-28",
"260",
"-3948",
"71120",
"-1392368",
"29971008",
"-724981920",
"19800726528",
"-603571233120",
"20210951379840",
"-734663902256256",
"28785160833254400",
"-1210241780559067392",
"54390280325210271744",
"-2602745536670709682176",
"132118736078618372579328"
]
| [
"sign"
]
| 13 | 0 | 3 | [
"A000142",
"A162656",
"A349587",
"A349650",
"A355767",
"A355768"
]
| null | Seiichi Manyama, Jul 16 2022 | 2022-07-16T11:50:26 | oeisdata/seq/A355/A355768.seq | 9ae4ff0b39ddea6c6409df27b76029d1 |
A355769 | Numbers k such that both k and k+1 can be written as the sum of two nonzero squares. | [
"17",
"25",
"40",
"52",
"72",
"73",
"89",
"97",
"100",
"116",
"136",
"145",
"148",
"169",
"180",
"193",
"225",
"232",
"233",
"241",
"244",
"260",
"288",
"289",
"292",
"305",
"313",
"337",
"369",
"388",
"400",
"404",
"409",
"424",
"449",
"457",
"481",
"520",
"521",
"544",
"548",
"577",
"584",
"585",
"592",
"612",
"625",
"628",
"640",
"656",
"673",
"676",
"697",
"724"
]
| [
"nonn"
]
| 20 | 1 | 1 | [
"A000290",
"A000404",
"A000415",
"A355769"
]
| null | Angad Singh, Jul 16 2022 | 2022-09-09T04:04:48 | oeisdata/seq/A355/A355769.seq | 69ff4805b327d6c9b29f0603263adc95 |
A355770 | a(n) is the number of terms of A333369 that divide n. | [
"1",
"1",
"2",
"1",
"2",
"2",
"2",
"1",
"3",
"2",
"1",
"2",
"2",
"2",
"4",
"1",
"2",
"3",
"2",
"2",
"3",
"2",
"1",
"2",
"2",
"2",
"3",
"2",
"1",
"4",
"2",
"1",
"2",
"2",
"4",
"3",
"2",
"2",
"4",
"2",
"1",
"3",
"1",
"3",
"5",
"1",
"1",
"2",
"2",
"2",
"4",
"2",
"2",
"3",
"2",
"2",
"4",
"1",
"2",
"4",
"1",
"2",
"4",
"1",
"3",
"4",
"1",
"2",
"2",
"4",
"2",
"3",
"2",
"2",
"5",
"2",
"2",
"4",
"2",
"2",
"3",
"1",
"1",
"3",
"3",
"1",
"2"
]
| [
"nonn",
"base"
]
| 20 | 1 | 3 | [
"A083230",
"A087990",
"A087991",
"A332268",
"A333369",
"A353735",
"A355302",
"A355770",
"A355771",
"A355772",
"A355773"
]
| null | Bernard Schott, Jul 16 2022 | 2022-07-30T12:36:49 | oeisdata/seq/A355/A355770.seq | f78eac777404ea32dd9d50220685b259 |
A355771 | a(n) is the smallest integer that has exactly n divisors from A333369. | [
"1",
"3",
"9",
"15",
"45",
"105",
"195",
"315",
"945",
"900",
"1575",
"2100",
"3900",
"6825",
"11655",
"10500",
"6300",
"18900",
"25200",
"35100",
"27300",
"31500",
"44100",
"94500",
"157500",
"107100",
"81900",
"233100",
"220500",
"598500",
"245700",
"333900",
"409500",
"491400",
"900900",
"573300",
"600600",
"1228500",
"1669500",
"1965600"
]
| [
"nonn",
"base"
]
| 36 | 1 | 2 | [
"A005231",
"A053624",
"A087997",
"A333369",
"A333456",
"A353735",
"A355303",
"A355699",
"A355770",
"A355771",
"A355772",
"A355773"
]
| null | Bernard Schott, Jul 17 2022 | 2022-07-30T12:53:26 | oeisdata/seq/A355/A355771.seq | 95f171f6e8a9441176331eb5853d1128 |
A355772 | Positions of records in A355770. | [
"1",
"3",
"9",
"15",
"45",
"105",
"195",
"315",
"900",
"1575",
"2100",
"3900",
"6300",
"18900",
"25200",
"27300",
"31500",
"44100",
"81900",
"220500",
"245700",
"333900",
"409500",
"491400",
"573300",
"600600",
"1201200",
"2402400",
"3603600",
"4804800",
"7207200",
"10810800",
"14414400",
"20420400",
"21621600",
"40840800",
"43243200"
]
| [
"nonn",
"base"
]
| 25 | 1 | 2 | [
"A093036",
"A093037",
"A333369",
"A340549",
"A350424",
"A353735",
"A355770",
"A355771",
"A355772",
"A355773"
]
| null | Bernard Schott, Jul 18 2022 | 2022-07-30T12:37:39 | oeisdata/seq/A355/A355772.seq | bca6721d30a388b4747943cd9f5a385e |
A355773 | Numbers all of whose divisors are members of A333369. | [
"1",
"3",
"5",
"7",
"9",
"13",
"15",
"17",
"19",
"31",
"35",
"37",
"39",
"51",
"53",
"57",
"59",
"71",
"73",
"79",
"91",
"93",
"95",
"97",
"111",
"137",
"139",
"153",
"157",
"159",
"173",
"179",
"193",
"197",
"221",
"223",
"227",
"229",
"317",
"333",
"359",
"371",
"379",
"395",
"397",
"443",
"449",
"519",
"537",
"571",
"579",
"591",
"593",
"661",
"663",
"669",
"719",
"739"
]
| [
"nonn",
"base"
]
| 39 | 1 | 2 | [
"A062687",
"A155045",
"A190217",
"A329419",
"A333369",
"A337741",
"A353735",
"A355770",
"A355771",
"A355772",
"A355773",
"A355853"
]
| null | Bernard Schott, Jul 18 2022 | 2022-09-04T13:01:18 | oeisdata/seq/A355/A355773.seq | 9a61532b2463389c579d0e7b2f17041b |
A355774 | An extension of the generalized pentagonal numbers such that every positive integer can be represented as the sum of at most two terms of the sequence. | [
"0",
"1",
"2",
"5",
"7",
"11",
"12",
"15",
"21",
"22",
"25",
"26",
"35",
"39",
"40",
"49",
"51",
"57",
"67",
"70",
"77",
"87",
"92",
"100",
"117",
"120",
"123",
"126",
"145",
"153",
"155",
"173",
"176",
"182",
"186",
"187",
"205",
"210",
"214",
"222",
"228",
"241",
"247",
"251",
"260",
"283",
"287",
"301",
"319",
"330",
"345",
"376",
"382",
"392",
"425",
"435",
"442",
"448"
]
| [
"nonn"
]
| 21 | 0 | 3 | [
"A000326",
"A001318",
"A093519",
"A100878",
"A176747",
"A355717",
"A355774"
]
| null | Peter Luschny, Jul 17 2022 | 2024-03-07T08:02:31 | oeisdata/seq/A355/A355774.seq | 74eb8a8052a66805d6c21f2ec7b28122 |
A355775 | Expansion of 1 + f/(1 + 2*f), where f is the g.f. of the swinging factorial (A056040). | [
"1",
"1",
"0",
"2",
"-10",
"30",
"-84",
"244",
"-722",
"2126",
"-6252",
"18364",
"-53988",
"158668",
"-466408",
"1370792",
"-4029154",
"11842222",
"-34806972",
"102303468",
"-300690348",
"883782404",
"-2597604952",
"7634834648",
"-22440207764",
"65955900268",
"-193856647736",
"569780485080",
"-1674690451976"
]
| [
"sign"
]
| 13 | 0 | 4 | [
"A056040",
"A355488",
"A355775"
]
| null | Peter Luschny, Jul 22 2022 | 2025-04-17T07:04:02 | oeisdata/seq/A355/A355775.seq | 4ecf9de7295400fac7263000e515615c |
A355776 | Partition triangle read by rows. A statistic of permutations whose Lehmer code is nonmonotonic, refining triangle A356116. | [
"0",
"0",
"0",
"0",
"0",
"1",
"0",
"0",
"3",
"2",
"5",
"0",
"0",
"6",
"10",
"22",
"24",
"16",
"0",
"0",
"10",
"20",
"12",
"61",
"162",
"29",
"102",
"150",
"42",
"0",
"0",
"15",
"35",
"49",
"135",
"432",
"246",
"273",
"391",
"1389",
"461",
"388",
"698",
"99",
"0",
"0",
"21",
"56",
"90",
"52",
"260",
"982",
"1288",
"740",
"827",
"1150",
"4974",
"2745",
"5778",
"482",
"2057",
"8924",
"4148",
"1333",
"2764",
"219",
"0"
]
| [
"nonn",
"tabf"
]
| 19 | 0 | 9 | [
"A000041",
"A000217",
"A002662",
"A056986",
"A355776",
"A355777",
"A356116"
]
| null | Peter Luschny, Jul 27 2022 | 2022-08-23T06:16:08 | oeisdata/seq/A355/A355776.seq | 95f72ca3db334a6fd328ab6052a445fe |
A355777 | Partition triangle read by rows. A statistic of permutations given by their Lehmer code refining Euler's triangle A173018. | [
"1",
"1",
"1",
"1",
"1",
"4",
"1",
"1",
"7",
"4",
"11",
"1",
"1",
"11",
"15",
"32",
"34",
"26",
"1",
"1",
"16",
"26",
"15",
"76",
"192",
"34",
"122",
"180",
"57",
"1",
"1",
"22",
"42",
"56",
"156",
"474",
"267",
"294",
"426",
"1494",
"496",
"423",
"768",
"120",
"1",
"1",
"29",
"64",
"98",
"56",
"288",
"1038",
"1344",
"768",
"855",
"1206",
"5142",
"2829",
"5946",
"496",
"2127",
"9204",
"4288",
"1389",
"2904",
"247",
"1"
]
| [
"nonn",
"tabf"
]
| 30 | 0 | 6 | [
"A000041",
"A000124",
"A000142",
"A000295",
"A123125",
"A145271",
"A173018",
"A179454",
"A355777"
]
| null | Peter Luschny, Jul 16 2022 | 2023-03-18T08:49:14 | oeisdata/seq/A355/A355777.seq | 8307e4ded8216d81b5f003a8b46e0fd7 |
A355778 | Numbers k such that both k and k^2 + 2 can be written as the sum of two nonzero squares. | [
"40",
"68",
"72",
"104",
"148",
"180",
"320",
"392",
"468",
"544",
"612",
"648",
"720",
"788",
"832",
"900",
"936",
"968",
"1040",
"1044",
"1156",
"1192",
"1256",
"1300",
"1332",
"1508",
"1732",
"1796",
"1800",
"1832",
"1872",
"1940",
"2056",
"2196",
"2308",
"2336",
"2372",
"2448",
"2664",
"2696",
"2740",
"2804",
"2848",
"2880",
"3060",
"3200",
"3280"
]
| [
"nonn"
]
| 21 | 1 | 1 | [
"A000290",
"A000404",
"A000415",
"A355778"
]
| null | Angad Singh, Jul 16 2022 | 2022-09-15T02:17:29 | oeisdata/seq/A355/A355778.seq | 2de9950b9875d1d61a6160b00c15a1fb |
A355779 | E.g.f. satisfies A(x) = 1/(1 - x)^(2 * A(x)). | [
"1",
"2",
"14",
"168",
"2912",
"66600",
"1900056",
"65101120",
"2606993728",
"119561789952",
"6181730106240",
"355838533286016",
"22573258090527360",
"1564818434983235328",
"117698836976753297664",
"9547346757806586746880",
"830846347686871026714624",
"77215374643802544102187008"
]
| [
"nonn"
]
| 18 | 0 | 2 | [
"A052813",
"A351275",
"A355779",
"A355786"
]
| null | Seiichi Manyama, Jul 16 2022 | 2022-07-18T11:47:44 | oeisdata/seq/A355/A355779.seq | 29286eb84d1f16bbc98e215b2289f1dd |
A355780 | E.g.f. satisfies A(x) = (1 + x)^(2 * A(x)). | [
"1",
"2",
"10",
"96",
"1352",
"25400",
"597816",
"16941568",
"561993344",
"21372060672",
"916910785920",
"43817650647936",
"2308500130055808",
"132941831957885184",
"8308594453077321984",
"560108109905112238080",
"40514005700203717945344",
"3129925644058623770173440"
]
| [
"nonn"
]
| 16 | 0 | 2 | [
"A033917",
"A351274",
"A355780",
"A355787"
]
| null | Seiichi Manyama, Jul 16 2022 | 2022-07-17T10:59:09 | oeisdata/seq/A355/A355780.seq | 278c87792203525e7a3ce6a484e55b2a |
A355781 | E.g.f. satisfies log(A(x)) = 2 * (exp(x) - 1) * A(x). | [
"1",
"2",
"14",
"166",
"2854",
"64854",
"1839622",
"62688406",
"2497159302",
"113932356630",
"5860555367814",
"335639363668118",
"21184456464757894",
"1461163816568091926",
"109351697864286862214",
"8825909581376322510230",
"764231343305480319046278",
"70670539764733828998689302"
]
| [
"nonn"
]
| 22 | 0 | 2 | [
"A052880",
"A351276",
"A355781",
"A355788"
]
| null | Seiichi Manyama, Jul 16 2022 | 2022-11-16T08:53:16 | oeisdata/seq/A355/A355781.seq | b54c444ee865d227ee18cfa22c9a1961 |
A355782 | E.g.f. satisfies log(A(x)) = 2 * (1 - exp(-x)) * A(x). | [
"1",
"2",
"10",
"94",
"1314",
"24494",
"572418",
"16109678",
"530772610",
"20049256686",
"854425665410",
"40560727143534",
"2122785621956226",
"121440903560075246",
"7539867236251002242",
"504946360197545803630",
"36284349255747713008770",
"2784785703026225861819118"
]
| [
"nonn"
]
| 16 | 0 | 2 | [
"A058864",
"A351277",
"A355782",
"A355789"
]
| null | Seiichi Manyama, Jul 16 2022 | 2022-07-18T12:01:22 | oeisdata/seq/A355/A355782.seq | 85f3017ce47c08925deb867ec06d04f5 |
A355783 | Triangular array read by rows. T(n,k) is the number of labeled transitive relations on [n] that have exactly k symmetric points. | [
"1",
"2",
"0",
"12",
"0",
"1",
"152",
"0",
"18",
"1",
"3504",
"0",
"456",
"24",
"10",
"135392",
"0",
"17520",
"760",
"600",
"31",
"8321472",
"0",
"1015440",
"35040",
"40560",
"2316",
"361",
"784621952",
"0",
"87375456",
"2369360",
"3615360",
"185556",
"52682",
"2164",
"110521185024",
"0",
"10984707328",
"233001216",
"441616000",
"19052992",
"7723408",
"384992",
"32663"
]
| [
"nonn",
"tabl"
]
| 10 | 0 | 2 | [
"A006905",
"A085628",
"A280202",
"A355783"
]
| null | Geoffrey Critzer, Jul 16 2022 | 2023-03-06T02:57:47 | oeisdata/seq/A355/A355783.seq | 885b5ed6d20032d1c9a107274fcb898c |
A355784 | a(n) is the number of distinct primes of the form k*(n-k)+n where 1 <= k < n. | [
"0",
"1",
"1",
"1",
"1",
"1",
"3",
"1",
"3",
"2",
"2",
"2",
"2",
"2",
"4",
"3",
"4",
"1",
"9",
"1",
"5",
"5",
"3",
"2",
"6",
"3",
"5",
"3",
"8",
"4",
"10",
"3",
"5",
"5",
"5",
"5",
"13",
"1",
"6",
"6",
"6",
"6",
"10",
"5",
"8",
"4",
"14",
"3",
"13",
"4",
"10",
"9",
"5",
"5",
"11",
"4",
"12",
"5",
"12",
"4",
"11",
"4",
"6",
"11",
"13",
"4",
"11",
"6",
"15",
"12",
"8",
"4",
"8",
"5",
"10",
"8",
"10",
"3",
"27",
"7",
"11",
"15",
"5",
"9",
"20",
"7",
"20",
"6",
"16",
"5",
"23"
]
| [
"nonn"
]
| 15 | 1 | 7 | [
"A355784",
"A355785"
]
| null | J. M. Bergot and Robert Israel, Jul 16 2022 | 2022-07-21T07:45:35 | oeisdata/seq/A355/A355784.seq | d22e423d7413092d4014f7f3e617526f |
A355785 | a(n) is the least k such that A355784(k) = n, or -1 if there is no such k. | [
"1",
"2",
"10",
"7",
"15",
"21",
"25",
"80",
"29",
"19",
"31",
"55",
"57",
"37",
"47",
"69",
"89",
"172",
"115",
"164",
"85",
"109",
"129",
"91",
"117",
"207",
"97",
"79",
"135",
"184",
"219",
"275",
"177",
"121",
"304",
"127",
"279",
"211",
"201",
"157",
"235",
"281",
"425",
"199",
"329",
"389",
"169",
"239",
"297",
"365",
"267",
"461",
"187",
"217",
"331",
"373",
"277",
"327",
"415",
"460",
"790",
"325",
"307",
"351"
]
| [
"nonn"
]
| 16 | 0 | 2 | [
"A355784",
"A355785"
]
| null | J. M. Bergot and Robert Israel, Jul 16 2022 | 2023-08-28T08:21:04 | oeisdata/seq/A355/A355785.seq | f01f0e4f09e1fd4f102941aeede3a61a |
A355786 | E.g.f. satisfies A(x) = 1/(1 - 2*x)^(A(x)/2). | [
"1",
"1",
"5",
"42",
"497",
"7620",
"143979",
"3241406",
"84847489",
"2534788296",
"85170416115",
"3180919433802",
"130771002469953",
"5869920100483452",
"285705285804636411",
"14989889385040915830",
"843420165009747027969",
"50664760467069168337680",
"3236433107379299238343779"
]
| [
"nonn"
]
| 11 | 0 | 3 | [
"A052813",
"A355779",
"A355786"
]
| null | Seiichi Manyama, Jul 17 2022 | 2022-07-18T12:22:37 | oeisdata/seq/A355/A355786.seq | fa47f9f13f96df3c389dc7fe4a135071 |
A355787 | E.g.f. satisfies A(x) = (1 + 2*x)^(A(x)/2). | [
"1",
"1",
"1",
"6",
"17",
"220",
"939",
"20930",
"107393",
"3823416",
"20382195",
"1147905462",
"5519388225",
"515034742404",
"1817577994491",
"323878306632330",
"481078381979649",
"272556878473903344",
"-355395800536648605",
"296393140746445749246",
"-1420979986049970526335"
]
| [
"sign"
]
| 10 | 0 | 4 | [
"A033917",
"A355780",
"A355787"
]
| null | Seiichi Manyama, Jul 17 2022 | 2022-07-17T11:01:38 | oeisdata/seq/A355/A355787.seq | 33038ffdb8c9fe2e8bdfa8d5e6326d40 |
A355788 | E.g.f. satisfies log(A(x)) = (exp(2*x) - 1) * A(x)/2. | [
"1",
"1",
"5",
"38",
"409",
"5772",
"101227",
"2126966",
"52153185",
"1462998168",
"46232500275",
"1625693415898",
"62972266884721",
"2664713395180228",
"122315552809623323",
"6053803331878334590",
"321389617069279569345",
"18218906261462603910704",
"1098415656103838009681123"
]
| [
"nonn"
]
| 10 | 0 | 3 | [
"A052880",
"A355781",
"A355788"
]
| null | Seiichi Manyama, Jul 17 2022 | 2022-07-18T12:26:58 | oeisdata/seq/A355/A355788.seq | aaa0df88f800c5c519d6f4c0efede254 |
A355789 | E.g.f. satisfies log(A(x)) = (1 - exp(-2*x)) * A(x)/2. | [
"1",
"1",
"1",
"2",
"9",
"52",
"363",
"3082",
"30817",
"353640",
"4582451",
"66201126",
"1055059569",
"18388749628",
"347959910171",
"7104264359810",
"155670829426113",
"3644019928871376",
"90755590315468003",
"2396199304577668190",
"66855611152288637713",
"1965490144910199279780"
]
| [
"nonn"
]
| 11 | 0 | 4 | [
"A058864",
"A355782",
"A355789"
]
| null | Seiichi Manyama, Jul 17 2022 | 2022-07-18T12:32:42 | oeisdata/seq/A355/A355789.seq | 0957a62a6a03b9fd26f663bbdea5a9af |
A355790 | Numbers that can be written as the product of two divisors greater than 1 such that the number is contained in the string concatenation of the divisors. | [
"64",
"95",
"110",
"210",
"325",
"510",
"624",
"640",
"664",
"950",
"995",
"1010",
"1100",
"1110",
"3250",
"3325",
"5134",
"6240",
"6400",
"6640",
"6664",
"7125",
"7616",
"8145",
"9500",
"9950",
"9995",
"11000",
"11100",
"11110",
"20100",
"21052",
"21175",
"25100",
"26208",
"32500",
"33250",
"33325",
"35126",
"50100",
"51020",
"51204",
"51340",
"57125",
"62400",
"64000",
"65114"
]
| [
"nonn",
"base"
]
| 25 | 1 | 1 | [
"A027748",
"A027750",
"A030190",
"A048991",
"A077293",
"A210959",
"A330027",
"A339144",
"A341035",
"A342127",
"A355790",
"A355791",
"A355852"
]
| null | Scott R. Shannon, Jul 17 2022 | 2022-07-29T09:55:41 | oeisdata/seq/A355/A355790.seq | 59489248305382b63cf9419ae8b21593 |
A355791 | Numbers that can be written as the product of two divisors greater than 1 such that the number in binary is contained in the string concatenation of the divisors in binary. | [
"6",
"10",
"12",
"14",
"24",
"28",
"30",
"36",
"42",
"48",
"56",
"57",
"60",
"62",
"96",
"112",
"120",
"124",
"126",
"136",
"170",
"192",
"224",
"240",
"248",
"252",
"254",
"292",
"355",
"384",
"448",
"480",
"496",
"504",
"508",
"510",
"528",
"682",
"737",
"768",
"896",
"921",
"960",
"992",
"1008",
"1016",
"1020",
"1022",
"1536",
"1792",
"1920",
"1984",
"2016",
"2032",
"2040",
"2044",
"2046",
"2080",
"2184",
"2340"
]
| [
"nonn",
"base"
]
| 15 | 1 | 1 | [
"A027750",
"A030190",
"A210959",
"A355790",
"A355791",
"A355852",
"A355857"
]
| null | Scott R. Shannon, Jul 17 2022 | 2022-07-27T16:36:19 | oeisdata/seq/A355/A355791.seq | 0374e0c17e85b0830e4531e3c1651eff |
A355792 | Triangular array, read by rows. The rules of the construction are described in the Comments section. | [
"1",
"1",
"2",
"2",
"3",
"1",
"1",
"2",
"4",
"3",
"3",
"1",
"2",
"4",
"5",
"5",
"6",
"3",
"1",
"2",
"4",
"4",
"5",
"6",
"3",
"1",
"7",
"2",
"2",
"4",
"5",
"8",
"6",
"3",
"1",
"7",
"7",
"2",
"4",
"5",
"8",
"6",
"3",
"1",
"9",
"9",
"10",
"7",
"2",
"4",
"5",
"8",
"6",
"3",
"1",
"1",
"9",
"11",
"10",
"7",
"2",
"4",
"5",
"8",
"6",
"3",
"3",
"1",
"9",
"11",
"12",
"10",
"7",
"2",
"4",
"5",
"8",
"6",
"6",
"3",
"1",
"9",
"11",
"12",
"10",
"13",
"7",
"2"
]
| [
"nonn",
"tabl"
]
| 37 | 1 | 3 | [
"A002260",
"A220073",
"A355792"
]
| null | Tamas Sandor Nagy, Jul 17 2022 | 2022-09-26T20:43:05 | oeisdata/seq/A355/A355792.seq | 2a3da852d94c8646fc8813e936bb6dfb |
A355793 | Square table, read by antidiagonals: the g.f. for row n is given recursively by (3*n-1)*x*R(n,x) = 1 + (3*n-4)*x - 1/R(n-1,x) for n >= 1 with the initial value R(0,x) = Sum_{k >= 0} A112936(k+1)*x^k. | [
"1",
"1",
"3",
"1",
"3",
"15",
"1",
"3",
"24",
"111",
"1",
"3",
"33",
"282",
"1131",
"1",
"3",
"42",
"507",
"4236",
"14943",
"1",
"3",
"51",
"786",
"9609",
"76548",
"243915",
"1",
"3",
"60",
"1119",
"17736",
"212835",
"1608864",
"4742391",
"1",
"3",
"69",
"1506",
"29103",
"459768",
"5350785",
"38488152",
"106912131",
"1",
"3",
"78",
"1947",
"44196",
"859143",
"13333488"
]
| [
"nonn",
"tabl",
"easy"
]
| 9 | 0 | 3 | [
"A008544",
"A111528",
"A112936",
"A355721",
"A355793",
"A355794",
"A355795",
"A355796",
"A355797"
]
| null | Peter Bala, Jul 17 2022 | 2022-08-15T10:28:30 | oeisdata/seq/A355/A355793.seq | ad147d09c4ebea411e6353f1936e5b30 |
A355794 | Row 1 of A355793. | [
"1",
"3",
"24",
"282",
"4236",
"76548",
"1608864",
"38488152",
"1032125136",
"30670171248",
"1000637672064",
"35571839009952",
"1368990872569536",
"56720594992438848",
"2517761078627172864",
"119222916630934484352",
"5999613754698100628736",
"319763269764299852744448",
"17994913747767982690289664"
]
| [
"nonn",
"easy"
]
| 11 | 0 | 2 | [
"A008544",
"A111528",
"A112936",
"A355721",
"A355793",
"A355794",
"A355795",
"A355796",
"A355797"
]
| null | Peter Bala, Jul 19 2022 | 2022-08-15T10:28:26 | oeisdata/seq/A355/A355794.seq | 80065f6dc576e6f414334dde42746f91 |
A355795 | Row 2 of A355793. | [
"1",
"3",
"33",
"507",
"9609",
"212835",
"5350785",
"149961675",
"4628365305",
"155913036915",
"5692874399025",
"224034935130075",
"9456933847187625",
"426402330032719875",
"20460268520575152225",
"1041301103429870128875",
"56040353252589013121625",
"3180443637298592493577875",
"189863589771186976073108625"
]
| [
"nonn",
"easy"
]
| 9 | 0 | 2 | [
"A008544",
"A111528",
"A112936",
"A355721",
"A355793",
"A355794",
"A355795",
"A355796",
"A355797"
]
| null | Peter Bala, Jul 21 2022 | 2022-08-15T10:28:17 | oeisdata/seq/A355/A355795.seq | 248fbbe493fcbfc838658977d223b156 |
A355796 | Row 3 of A355793. | [
"1",
"3",
"42",
"786",
"17736",
"459768",
"13333488",
"425600976",
"14791250688",
"555381292800",
"22398626084352",
"965768866650624",
"44347055502428160",
"2161455366606034944",
"111489317304231616512",
"6069676735484389779456",
"347921629212782938472448",
"20950823605616500202323968",
"1322561808699778749456678912"
]
| [
"nonn",
"easy"
]
| 8 | 0 | 2 | [
"A008544",
"A111528",
"A112936",
"A355721",
"A355793",
"A355794",
"A355795",
"A355796",
"A355797"
]
| null | Peter Bala, Jul 21 2022 | 2022-08-15T10:28:21 | oeisdata/seq/A355/A355796.seq | 15b5e63fe2b14670beb01e5be4a1626a |
A355797 | Row 4 of A355793. | [
"1",
"3",
"51",
"1119",
"29103",
"859143",
"28091463",
"1002057591",
"38606468343",
"1595167432599",
"70315835952471",
"3293268346004439",
"163337193581191575",
"8554718468806548951",
"471976737725208306327",
"27369722655919760451159",
"1664858070989667129693975",
"106029602841882346657155543"
]
| [
"nonn",
"easy"
]
| 8 | 0 | 2 | [
"A008544",
"A111528",
"A112936",
"A355721",
"A355793",
"A355794",
"A355795",
"A355796",
"A355797"
]
| null | Peter Bala, Jul 21 2022 | 2022-08-15T10:28:13 | oeisdata/seq/A355/A355797.seq | 515ba783f889623b754efb4c5bb7695d |
A355798 | Number of regions formed in a square by straight line segments when connecting the n-1 points between each corner that divide each edge into n equal parts to the n-1 points on the edge on the opposite side of the square. | [
"1",
"4",
"24",
"104",
"316",
"712",
"1588",
"2816",
"4940",
"7672",
"12444",
"16840",
"25968",
"34088",
"46260",
"61048",
"82792",
"98984",
"133032",
"156072",
"196236",
"239048",
"298292",
"334032",
"417072",
"483856",
"570200",
"649816",
"786412",
"850000",
"1037628",
"1145424",
"1311536",
"1485880",
"1677660",
"1828360",
"2158192",
"2357376",
"2623604",
"2852688"
]
| [
"nonn"
]
| 22 | 1 | 2 | [
"A255011",
"A290131",
"A331452",
"A335678",
"A355798",
"A355799",
"A355800",
"A355801"
]
| null | Scott R. Shannon, Jul 17 2022 | 2024-01-23T10:58:31 | oeisdata/seq/A355/A355798.seq | 801d50bc08822c90a5da9bd31d43c18a |
A355799 | Number of vertices formed in a square by straight line segments when connecting the n-1 points between each corner that divide each edge into n equal parts to the n-1 points on the edge on the opposite side of the square. | [
"4",
"9",
"25",
"93",
"277",
"597",
"1405",
"2421",
"4357",
"6661",
"11261",
"14593",
"23625",
"30121",
"41453",
"54477",
"75985",
"87677",
"122433",
"139461",
"177965",
"216017",
"275733",
"298805",
"383497",
"439909",
"522473",
"588597",
"729501",
"763149",
"963573",
"1045701",
"1204481",
"1361789",
"1546309",
"1657125",
"2009113",
"2166617",
"2418733",
"2602789"
]
| [
"nonn"
]
| 13 | 1 | 1 | [
"A255011",
"A290131",
"A331452",
"A335678",
"A355798",
"A355799",
"A355800",
"A355801"
]
| null | Scott R. Shannon, Jul 17 2022 | 2022-07-18T09:47:42 | oeisdata/seq/A355/A355799.seq | 7974ae272e24d7a797c3c8a34eeb72e5 |
A355800 | Number of edges formed in a square by straight line segments when connecting the n-1 points between each corner that divide each edge into n equal parts to the n-1 points on the edge on the opposite side of the square. | [
"4",
"12",
"48",
"196",
"592",
"1308",
"2992",
"5236",
"9296",
"14332",
"23704",
"31432",
"49592",
"64208",
"87712",
"115524",
"158776",
"186660",
"255464",
"295532",
"374200",
"455064",
"574024",
"632836",
"800568",
"923764",
"1092672",
"1238412",
"1515912",
"1613148",
"2001200",
"2191124",
"2516016",
"2847668",
"3223968",
"3485484",
"4167304",
"4523992",
"5042336"
]
| [
"nonn"
]
| 8 | 1 | 1 | [
"A255011",
"A290131",
"A331452",
"A335678",
"A355798",
"A355799",
"A355800",
"A355801"
]
| null | Scott R. Shannon, Jul 17 2022 | 2022-07-18T09:47:37 | oeisdata/seq/A355/A355800.seq | 9bc0c1a3995c64da8aa5cafa10505e30 |
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