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2025-07-14 02:38:35
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|---|---|---|---|---|---|---|---|---|---|---|---|---|
A362501 | Number of vertex cuts in the n-alkane graph. | [
"11",
"169",
"1699",
"14989",
"125495",
"1026273",
"8299403",
"66752053",
"535443679",
"4289258377",
"34336902707",
"274786564317",
"2198657885063",
"17590724562481",
"140731642427611",
"1125876523131781",
"9007105719897647",
"72057219898554585",
"576459255745930115",
"4611680032197414445"
]
| [
"nonn",
"easy"
]
| 30 | 1 | 1 | null | null | Eric W. Weisstein, Apr 23 2023 | 2025-02-16T08:34:05 | oeisdata/seq/A362/A362501.seq | c60c897badd19c95086c56fbae558a51 |
A362502 | Least k > 0 such that (floor(sqrt(n*k)) + 1)^2 mod n is a square. | [
"1",
"1",
"1",
"1",
"1",
"2",
"3",
"1",
"3",
"4",
"5",
"1",
"7",
"8",
"1",
"1",
"9",
"4",
"11",
"2",
"1",
"14",
"15",
"1",
"8",
"16",
"1",
"3",
"19",
"2",
"21",
"1",
"3",
"24",
"1",
"2",
"25",
"26",
"3",
"1",
"29",
"2",
"31",
"6",
"1",
"34",
"35",
"1",
"15",
"4",
"3",
"7",
"39",
"4",
"1",
"2",
"3",
"44",
"45",
"1",
"47",
"48",
"1",
"2",
"1",
"4",
"51",
"10",
"5",
"2",
"55",
"1",
"57",
"58",
"5",
"12",
"1",
"6",
"63",
"1",
"5",
"64",
"65",
"1",
"3",
"68"
]
| [
"nonn"
]
| 36 | 1 | 6 | null | null | Darío Clavijo, Apr 22 2023 | 2023-05-29T00:08:27 | oeisdata/seq/A362/A362502.seq | 0b1baecc8085a4f69cb60d985fec3905 |
A362503 | a(n) is the number of k such that n - A000045(k) is a square. | [
"1",
"3",
"3",
"2",
"2",
"3",
"2",
"1",
"1",
"3",
"2",
"1",
"2",
"1",
"2",
"0",
"1",
"4",
"1",
"1",
"0",
"2",
"2",
"0",
"1",
"2",
"2",
"1",
"1",
"1",
"2",
"0",
"0",
"1",
"1",
"1",
"1",
"3",
"3",
"1",
"0",
"1",
"0",
"1",
"1",
"0",
"1",
"0",
"0",
"2",
"3",
"1",
"1",
"0",
"1",
"1",
"1",
"2",
"0",
"2",
"0",
"0",
"1",
"0",
"2",
"2",
"1",
"1",
"0",
"1",
"2",
"1",
"1",
"0",
"0",
"0",
"0",
"1",
"0",
"0",
"1",
"1",
"2",
"2",
"1",
"1",
"1",
"0",
"0",
"2",
"1",
"1",
"0",
"1",
"1",
"0",
"0",
"0",
"2"
]
| [
"nonn"
]
| 12 | 0 | 2 | [
"A108852",
"A362409",
"A362434",
"A362503"
]
| null | Robert Israel, Apr 22 2023 | 2023-04-24T01:37:04 | oeisdata/seq/A362/A362503.seq | 8269e19876f1334bd75179b209e21851 |
A362504 | Number of paths across a regular hexagonal grid with side length n. | [
"1",
"11",
"291",
"8547",
"259123",
"7997355",
"250062515",
"7900153283",
"251686581987",
"8073549437643",
"260453164773827",
"8441983967058723",
"274715571055249171",
"8969873019615172459",
"293727992832116083539",
"9642550297656399476611",
"317240324217012764748739"
]
| [
"nonn",
"walk"
]
| 17 | 1 | 2 | null | null | Alexandra S. Kim, Apr 21 2023 | 2023-07-27T12:15:49 | oeisdata/seq/A362/A362504.seq | 484a846d9cc87746dd41fb4fc0a90bb2 |
A362505 | Nonnegative numbers of the form x*y where x and y have the same set of decimal digits. | [
"0",
"1",
"4",
"9",
"11",
"16",
"25",
"36",
"44",
"49",
"64",
"81",
"99",
"100",
"111",
"121",
"144",
"169",
"176",
"196",
"225",
"252",
"256",
"275",
"289",
"324",
"361",
"396",
"400",
"403",
"441",
"444",
"484",
"529",
"539",
"574",
"576",
"625",
"676",
"704",
"729",
"736",
"765",
"784",
"841",
"891",
"900",
"961",
"976",
"999",
"1000",
"1008",
"1010",
"1024"
]
| [
"nonn",
"base"
]
| 6 | 1 | 3 | [
"A000290",
"A002275",
"A086066",
"A330898",
"A362505",
"A362506"
]
| null | Rémy Sigrist, Apr 23 2023 | 2023-04-24T01:31:39 | oeisdata/seq/A362/A362505.seq | d997acb29fe2c0db1c8201751d1d7d61 |
A362506 | a(n) is the least x >= 0 such that A362505(n) = x * y for some y with the same set of decimal digits as x. | [
"0",
"1",
"2",
"3",
"1",
"4",
"5",
"6",
"2",
"7",
"8",
"9",
"3",
"10",
"1",
"11",
"12",
"13",
"4",
"14",
"15",
"12",
"16",
"5",
"17",
"18",
"19",
"6",
"20",
"13",
"21",
"2",
"22",
"23",
"7",
"14",
"24",
"25",
"26",
"8",
"27",
"23",
"15",
"28",
"29",
"9",
"30",
"31",
"16",
"3",
"10",
"24",
"10",
"32",
"33",
"10",
"1",
"34",
"17",
"11",
"35",
"36",
"25",
"12",
"37",
"38",
"12",
"18",
"34",
"12",
"13"
]
| [
"nonn",
"base"
]
| 10 | 1 | 3 | [
"A362505",
"A362506"
]
| null | Rémy Sigrist, Apr 23 2023 | 2023-04-24T13:09:48 | oeisdata/seq/A362/A362506.seq | fce6fce62df82e9f8aa15fb607840da3 |
A362507 | Squarefree semiprimes (products of two distinct primes) between sphenic numbers (products of three distinct primes). | [
"1546",
"2066",
"2234",
"2554",
"3334",
"3566",
"3814",
"4586",
"4894",
"4946",
"5422",
"5594",
"6098",
"6602",
"6694",
"6746",
"7286",
"7346",
"7706",
"7846",
"7886",
"8042",
"8114",
"8438",
"8986",
"9094",
"9806",
"10154",
"10294",
"10786",
"10834",
"10886",
"11038",
"11138",
"11246",
"11846",
"12094",
"13406",
"13714",
"13894",
"13982",
"14002",
"14054"
]
| [
"nonn"
]
| 11 | 1 | 1 | [
"A006881",
"A007304",
"A362507"
]
| null | Massimo Kofler, Apr 23 2023 | 2023-08-12T14:55:31 | oeisdata/seq/A362/A362507.seq | 4d90db151efa93e8e8b1315431ee6c48 |
A362508 | Number of vertex cuts in the n-Andrásfai graph. | [
"0",
"10",
"82",
"484",
"2520",
"12274",
"57400",
"261510",
"1170884",
"5179458",
"22707520",
"98852670",
"427804988",
"1841950010",
"7894607160"
]
| [
"nonn",
"more"
]
| 13 | 1 | 2 | [
"A287995",
"A362508"
]
| null | Eric W. Weisstein, Apr 23 2023 | 2025-02-16T08:34:05 | oeisdata/seq/A362/A362508.seq | b51a130900d6fc37a5c4f920e25a2690 |
A362509 | Number of vertex cuts in the n X n black bishop graph. | [
"0",
"0",
"9",
"87",
"2940",
"67392",
"6075837",
"442152975",
"133476737988"
]
| [
"nonn",
"more"
]
| 9 | 1 | 3 | [
"A290719",
"A362509"
]
| null | Eric W. Weisstein, Apr 23 2023 | 2025-02-16T08:34:05 | oeisdata/seq/A362/A362509.seq | 2d1d9dda2af96e95404106a4c707675b |
A362510 | Number of odd chordless cycles of length > 4 in the halved cube graph Q_n/2. | [
"0",
"0",
"0",
"0",
"192",
"2304",
"4779648",
"526144997376"
]
| [
"nonn",
"more"
]
| 14 | 1 | 5 | [
"A361186",
"A362510"
]
| null | Eric W. Weisstein, Apr 23 2023 | 2025-02-16T08:34:05 | oeisdata/seq/A362/A362510.seq | 7fed0ec079dc0ae2f51a3736a1ae5de1 |
A362511 | Number of odd chordless cycles of length > 4 in the n X n king graph. | [
"0",
"0",
"0",
"4",
"92",
"2352",
"78356",
"3517880",
"252618880",
"41306486504",
"16825895352172",
"11961395191780756",
"12807426535283959680",
"21661306839167581507840",
"64202942607525533084738044",
"369420376954069022684270628192",
"4240620859184086817492965752551468",
"89842928236108967759116580894597660652"
]
| [
"nonn"
]
| 10 | 1 | 4 | [
"A361171",
"A362511"
]
| null | Eric W. Weisstein, Apr 23 2023 | 2025-02-16T08:34:05 | oeisdata/seq/A362/A362511.seq | 715dc24d0315a0efcf5e7da48d834120 |
A362512 | Number of odd chordless cycles of length > 4 in the n-Mycielski graph. | [
"0",
"0",
"1",
"31",
"646",
"17277",
"2354454"
]
| [
"nonn",
"more"
]
| 9 | 1 | 4 | [
"A361183",
"A362512"
]
| null | Eric W. Weisstein, Apr 23 2023 | 2025-02-16T08:34:05 | oeisdata/seq/A362/A362512.seq | d9ecbc18f15a883998a1498ff6b0c515 |
A362513 | Number of odd chordless cycles of length > 4 in the n X n queen graph. | [
"0",
"0",
"0",
"24",
"600",
"10160",
"120288",
"1685760",
"28099984"
]
| [
"nonn",
"more"
]
| 9 | 1 | 4 | [
"A361184",
"A362513"
]
| null | Eric W. Weisstein, Apr 23 2023 | 2025-02-16T08:34:05 | oeisdata/seq/A362/A362513.seq | a821e9c30cb50307650e67b6a71e2966 |
A362514 | Number of odd chordless cycles of length >4 in the n-triangular grid graph. | [
"0",
"0",
"0",
"1",
"13",
"115",
"959",
"8876",
"101123",
"1519504",
"31138405",
"871560677",
"32897263307",
"1657411773700",
"111113100638331",
"9929019852558612",
"1185818207579540160",
"189496976724420953109",
"40497113442395855810240",
"11561238705271610991734848"
]
| [
"nonn"
]
| 10 | 1 | 5 | [
"A297671",
"A362514"
]
| null | Eric W. Weisstein, Apr 23 2023 | 2025-02-16T08:34:05 | oeisdata/seq/A362/A362514.seq | 8f24c1fe4fcb23e634323ce702225c78 |
A362515 | Number of vertex cuts in the n-Fibonacci cube graph. | [
"0",
"1",
"10",
"138",
"5518",
"1549272",
"13182879778"
]
| [
"nonn",
"more"
]
| 9 | 1 | 3 | [
"A000045",
"A292066",
"A362515"
]
| null | Eric W. Weisstein, Apr 23 2023 | 2025-02-16T08:34:05 | oeisdata/seq/A362/A362515.seq | 54d7666003e3f39eaafffaa9de85ac68 |
A362516 | Number of vertex cuts in the n-gear graph. | [
"1",
"5",
"51",
"293",
"1383",
"6017",
"25315",
"104941",
"431775",
"1768377",
"7218555",
"29388325",
"119381239",
"484031537",
"1959295251",
"7919693789",
"31972642767",
"128937189161",
"519476334379",
"2091181293589",
"8412008183079",
"33816433653921",
"135865503379395",
"545598121631437",
"2190000348372223"
]
| [
"nonn",
"easy"
]
| 21 | 1 | 2 | [
"A286188",
"A362516"
]
| null | Eric W. Weisstein, Apr 23 2023 | 2025-03-27T02:23:40 | oeisdata/seq/A362/A362516.seq | 045fc9bf1e32fcd3496d1ecba44bd2c6 |
A362517 | Number of vertex cuts in the n X n grid graph. | [
"0",
"2",
"293",
"54029",
"31252554",
"66987393994",
"558077003446645",
"18395727255104656873",
"2415871083397827261386598",
"1267366225909683571167215895590",
"2658305260824415112030141755123193237",
"22300450681634123362049304128770788322086749",
"748286719216207999401963616395813243234643176461730"
]
| [
"nonn"
]
| 9 | 1 | 2 | [
"A059525",
"A362517"
]
| null | Eric W. Weisstein, Apr 23 2023 | 2025-02-16T08:34:05 | oeisdata/seq/A362/A362517.seq | bdbb9fe0000765d0cce842cf0737f854 |
A362518 | Number of vertex cuts in the n-helm graph. | [
"1",
"12",
"71",
"354",
"1617",
"7020",
"29563",
"122214",
"499493",
"2026848",
"8186895",
"32969754",
"132508729",
"531842196",
"2132610467",
"8545773774",
"34228238925",
"137046552264",
"548583066679",
"2195514451074",
"8785586531681",
"35152894560252",
"140643143849931",
"562667104454454",
"2250951652660597"
]
| [
"nonn",
"easy"
]
| 12 | 1 | 2 | [
"A286184",
"A362518"
]
| null | Eric W. Weisstein, Apr 23 2023 | 2025-02-16T08:34:05 | oeisdata/seq/A362/A362518.seq | dcd73bbedbd2a02b14f5981fb9a9ff2a |
A362519 | Number of vertex cuts in the hypercube graph Q_n. | [
"0",
"0",
"2",
"88",
"28242",
"1770149360"
]
| [
"nonn",
"more"
]
| 9 | 0 | 3 | [
"A290758",
"A362519"
]
| null | Eric W. Weisstein, Apr 23 2023 | 2025-02-16T08:34:05 | oeisdata/seq/A362/A362519.seq | 8343be5bf63769bfaef385d228fa6a2b |
A362520 | Number of vertex cuts in the n-triangular grid graph. | [
"0",
"0",
"16",
"531",
"22737",
"1681647",
"233613750",
"62845739144",
"33198078319112",
"34686509192360823",
"71978712930766793223"
]
| [
"nonn",
"more"
]
| 8 | 0 | 3 | [
"A288722",
"A362520"
]
| null | Eric W. Weisstein, Apr 23 2023 | 2025-02-16T08:34:05 | oeisdata/seq/A362/A362520.seq | 8165850e412af5071dfd7723f3a470be |
A362521 | Number of vertex cuts in the n-web graph. | [
"1",
"30",
"323",
"3110",
"27777",
"237498",
"1977439",
"16202990",
"131490509",
"1060894002",
"8529819531",
"68439823942",
"548461371993",
"4392080943978",
"35156984457463",
"281349668446430",
"2251228221924645",
"18011798305060578",
"144103388698943651",
"1152868080218482102",
"9223130638279472433"
]
| [
"nonn"
]
| 15 | 1 | 2 | [
"A286187",
"A362521"
]
| null | Eric W. Weisstein, Apr 23 2023 | 2025-02-16T08:34:05 | oeisdata/seq/A362/A362521.seq | 4e2f09b13ec5f0e684b10f8a0019cb47 |
A362522 | a(n) = n! * Sum_{k=0..floor(n/2)} (k+1)^(k-1) / (k! * (n-2*k)!). | [
"1",
"1",
"3",
"7",
"49",
"201",
"2491",
"14743",
"266337",
"2055889",
"49051891",
"466650471",
"13873711633",
"156839920537",
"5591748678699",
"73222243463671",
"3046762637864641",
"45346835284775073",
"2158148557098011107",
"35980450963558606279",
"1928292118820446611441"
]
| [
"nonn",
"easy"
]
| 17 | 0 | 3 | [
"A088957",
"A089461",
"A362347",
"A362522",
"A362523"
]
| null | Seiichi Manyama, Apr 23 2023 | 2025-02-16T08:34:05 | oeisdata/seq/A362/A362522.seq | b24e69e3c3bf8e03d0a07d8d1302f676 |
A362523 | a(n) = n! * Sum_{k=0..floor(n/3)} (k+1)^(k-1) / (k! * (n-3*k)!). | [
"1",
"1",
"1",
"7",
"25",
"61",
"1201",
"7771",
"30577",
"1058905",
"9904321",
"53722351",
"2708688841",
"33126146197",
"228967340785",
"15262865820931",
"230517745701601",
"1936173471789361",
"161021598306402817",
"2894434429492525015",
"28614958982310290041"
]
| [
"nonn",
"easy"
]
| 15 | 0 | 4 | [
"A088957",
"A089464",
"A362348",
"A362522",
"A362523"
]
| null | Seiichi Manyama, Apr 23 2023 | 2025-02-16T08:34:05 | oeisdata/seq/A362/A362523.seq | d1c1ea0a2f3582a3208eb5b0659bec92 |
A362524 | a(n) = n! * Sum_{k=0..floor(n/2)} (k+1)^(k-1) / (2^k * k! * (n-2*k)!). | [
"1",
"1",
"2",
"4",
"16",
"56",
"391",
"2017",
"20504",
"139456",
"1867681",
"15751451",
"262263442",
"2638794094",
"52589415971",
"614628436801",
"14274125637256",
"190012483804952",
"5041005195499849",
"75288391385094811",
"2246914521052963166",
"37204717212894726706",
"1233884675800841217847"
]
| [
"nonn",
"easy"
]
| 14 | 0 | 3 | [
"A088957",
"A362350",
"A362522",
"A362524",
"A362525"
]
| null | Seiichi Manyama, Apr 23 2023 | 2025-02-16T08:34:05 | oeisdata/seq/A362/A362524.seq | f6e3c65b824294004e3fe4501584b463 |
A362525 | a(n) = n! * Sum_{k=0..floor(n/3)} (k+1)^(k-1) / (6^k * k! * (n-3*k)!). | [
"1",
"1",
"1",
"2",
"5",
"11",
"51",
"246",
"897",
"7085",
"51221",
"260426",
"2938541",
"28279967",
"184234415",
"2714662406",
"32614422401",
"259026339161",
"4721237878537",
"67998862785970",
"637019875964341",
"13852253151455251",
"232584488748665131",
"2510358957337412182",
"63466995535914172225"
]
| [
"nonn",
"easy"
]
| 12 | 0 | 4 | [
"A088957",
"A362351",
"A362523",
"A362524",
"A362525"
]
| null | Seiichi Manyama, Apr 23 2023 | 2025-02-16T08:34:05 | oeisdata/seq/A362/A362525.seq | 7cfdf3da151cb703a0a1e4efb0471dd6 |
A362526 | a(n) = 2^n*(n + 2) + (n - 7)*n/2 - 2. | [
"1",
"9",
"32",
"88",
"217",
"507",
"1150",
"2562",
"5639",
"12301",
"26644",
"57372",
"122917",
"262191",
"557114",
"1179718",
"2490451",
"5242977",
"11010160",
"23068800",
"48234641",
"100663459",
"209715382",
"436207818",
"905969887",
"1879048437",
"3892314380",
"8053063972",
"16642998589",
"34359738711"
]
| [
"nonn",
"easy"
]
| 28 | 1 | 2 | null | null | Eric W. Weisstein, Apr 24 2023 | 2025-02-16T08:34:05 | oeisdata/seq/A362/A362526.seq | a73111c0233d65d23f55d92571bb0c94 |
A362527 | a(1) = 2 and a(n+1) is the largest prime <= a(n) + n. | [
"2",
"3",
"5",
"7",
"11",
"13",
"19",
"23",
"31",
"37",
"47",
"53",
"61",
"73",
"83",
"97",
"113",
"127",
"139",
"157",
"173",
"193",
"211",
"233",
"257",
"281",
"307",
"331",
"359",
"383",
"409",
"439",
"467",
"499",
"523",
"557",
"593",
"619",
"653",
"691",
"727",
"761",
"797",
"839",
"883",
"919",
"953",
"997",
"1039",
"1087",
"1129",
"1171",
"1223",
"1259",
"1307"
]
| [
"nonn"
]
| 17 | 1 | 1 | [
"A095117",
"A113161",
"A362527"
]
| null | Ya-Ping Lu, Apr 23 2023 | 2023-08-29T09:45:24 | oeisdata/seq/A362/A362527.seq | 8c5eba5142889ba9aef4f6ba6c458ace |
A362528 | Numbers that can be written in at least 3 ways as the sum of a Lucas number (A000032) and a square. | [
"11",
"27",
"488",
"683",
"852",
"907",
"964",
"1372",
"1445",
"3971",
"5947",
"6563",
"8587",
"40003",
"70803",
"111603",
"116285",
"129603",
"133958",
"291607",
"465125",
"1229884",
"1555208",
"2088027",
"37442165",
"89629867",
"93896107",
"149768645",
"197712043",
"287946964",
"298391123"
]
| [
"nonn"
]
| 4 | 1 | 1 | [
"A000032",
"A362434",
"A362528"
]
| null | Robert Israel, Apr 23 2023 | 2023-04-23T22:25:48 | oeisdata/seq/A362/A362528.seq | 261f1a42bc770ccf8c97571eb65f7de8 |
A362529 | Decimal expansion of the 2019 SI system unit kg in eV/c^2. | [
"5",
"6",
"0",
"9",
"5",
"8",
"8",
"6",
"0",
"3",
"8",
"0",
"4",
"4",
"5",
"1",
"9",
"3",
"7",
"8",
"5",
"0",
"4",
"4",
"3",
"0",
"2",
"4",
"2",
"4",
"8",
"9",
"7",
"3",
"0",
"3",
"8",
"0",
"1",
"2",
"7",
"3",
"6",
"3",
"6",
"5",
"9",
"9",
"5",
"4",
"6",
"1",
"1",
"4",
"7",
"1",
"3",
"8",
"4",
"1",
"2",
"2",
"0",
"5",
"8",
"0",
"4",
"2",
"6",
"9",
"6",
"4",
"3",
"3",
"4",
"3",
"2",
"0",
"7",
"0",
"6",
"3",
"6",
"4",
"7",
"6",
"4"
]
| [
"cons",
"nonn",
"easy"
]
| 9 | 36 | 1 | [
"A003676",
"A003678",
"A081823",
"A254181",
"A322580",
"A342486",
"A360750",
"A362529"
]
| null | Marco Ripà, Apr 24 2023 | 2023-06-18T13:13:15 | oeisdata/seq/A362/A362529.seq | 1bf254d1b4a80ccf4cfe000e12d95446 |
A362530 | Decimal expansion of the conventional value of Josephson constant (K_{J-90}) in Hz/V. | [
"4",
"8",
"3",
"5",
"9",
"7",
"9"
]
| [
"cons",
"nonn",
"fini",
"full"
]
| 14 | 15 | 1 | [
"A248508",
"A248510",
"A361006",
"A361010",
"A361011",
"A361352",
"A362000",
"A362530"
]
| null | Marco Ripà, Apr 24 2023 | 2023-06-18T13:17:35 | oeisdata/seq/A362/A362530.seq | 34e6525bf327cb0bdec6096d00dbd415 |
A362531 | The smallest integer m such that m mod 2k >= k for k = 1, 2, 3, ..., n. | [
"1",
"3",
"3",
"15",
"15",
"47",
"95",
"95",
"287",
"335",
"1199",
"1199",
"1295",
"2015",
"2879",
"2879",
"2879",
"2879",
"2879",
"2879",
"2879",
"43199",
"211679",
"211679",
"211679",
"211679",
"211679",
"211679",
"211679",
"211679",
"3084479",
"3084479",
"3084479",
"3084479",
"3084479",
"3084479",
"302702399",
"469909439"
]
| [
"nonn"
]
| 26 | 1 | 2 | [
"A053664",
"A362531"
]
| null | Tomohiro Yamada, Apr 24 2023 | 2023-06-22T06:03:42 | oeisdata/seq/A362/A362531.seq | af0969e98824a836dc4434401c09e799 |
A362532 | The smallest positive integer m such that m mod 2k < k for k = 1, 2, 3, ..., n. | [
"2",
"4",
"8",
"8",
"24",
"24",
"72",
"144",
"144",
"144",
"384",
"384",
"2160",
"2160",
"2160",
"6720",
"54240",
"57600",
"131040",
"131040",
"131040",
"131040",
"612000",
"612000",
"612000",
"612000",
"612000",
"776160",
"776160",
"776160",
"6219360",
"23184000",
"28627200",
"28627200",
"28627200",
"28627200",
"28627200"
]
| [
"nonn"
]
| 28 | 1 | 1 | [
"A053664",
"A362532"
]
| null | Tomohiro Yamada, Apr 24 2023 | 2023-05-08T10:19:47 | oeisdata/seq/A362/A362532.seq | 6c28260a5299dc3e8e8bde2a88c5ee96 |
A362533 | Decimal expansion of lim_{n->oo} ( Sum_{k=2..n} 1/(k * log(k) * log log(k)) - log log log(n) ). | [
"2",
"6",
"9",
"5",
"7",
"4"
]
| [
"nonn",
"cons",
"more"
]
| 9 | 1 | 1 | [
"A001620",
"A361972",
"A362533"
]
| null | Bernard Schott, Apr 24 2023 | 2023-04-28T22:38:12 | oeisdata/seq/A362/A362533.seq | 8f7aa8cc79e5e21914896670cbddb2ba |
A362534 | Numerators of the ratio of the symmetry-constrained bound to the adiabatic bound on polarization transfer in AXn spin-1/2 systems. | [
"1",
"1",
"6",
"6",
"15",
"15",
"140",
"140",
"315",
"315",
"1386",
"1386",
"3003",
"3003",
"51480",
"51480",
"109395",
"109395",
"92378",
"92378",
"969969",
"969969",
"2704156",
"2704156",
"16900975",
"16900975",
"70204050",
"70204050",
"145422675",
"145422675",
"4808643120",
"4808643120",
"9917826435",
"9917826435",
"40838108850",
"40838108850"
]
| [
"nonn",
"frac"
]
| 24 | 1 | 3 | [
"A001803",
"A086116",
"A120778",
"A141244",
"A362534"
]
| null | Mohamed Sabba, Apr 24 2023 | 2023-06-11T12:13:51 | oeisdata/seq/A362/A362534.seq | b90f86b910cedeeb524cd1bc390d36e5 |
A362535 | Smallest prime ending with all base-n digits in consecutive order. | [
"5",
"59",
"283",
"3319",
"95177",
"6611219",
"17119607",
"1168314911",
"100123456789",
"3426593164037",
"142731293952659",
"304978405943587",
"333425956286418337",
"9635899740880849409",
"535037563666793483759",
"42192484763476168476011",
"39482554816041508293677",
"39574499346711396207137369"
]
| [
"nonn",
"base"
]
| 23 | 2 | 1 | [
"A023811",
"A362535"
]
| null | Pedro A. B. A. Vinhas, Apr 24 2023 | 2023-05-28T15:40:32 | oeisdata/seq/A362/A362535.seq | 9c29838b4c0c7b0d4aec8b97372baa13 |
A362536 | Number of chordless cycles of length >= 4 in the n X n antelope graph. | [
"0",
"0",
"0",
"0",
"0",
"0",
"3",
"4456",
"9048819"
]
| [
"nonn",
"more"
]
| 9 | 1 | 7 | null | null | Eric W. Weisstein, Apr 24 2023 | 2025-02-16T08:34:05 | oeisdata/seq/A362/A362536.seq | 6fcefc628a88bc11d21600f83092d172 |
A362537 | Number of chordless cycles of length >=4 in the n-diagonal intersection graph. | [
"0",
"1",
"17",
"166",
"50684",
"2395992"
]
| [
"nonn",
"more"
]
| 8 | 3 | 3 | [
"A362537",
"A371340"
]
| null | Eric W. Weisstein, Apr 24 2023 | 2025-02-16T08:34:05 | oeisdata/seq/A362/A362537.seq | f5b15eb6962906afed25f45039808e00 |
A362538 | Number of chordless cycles of length >=4 in the n X n camel graph. | [
"0",
"0",
"0",
"2",
"33",
"234",
"1287",
"5534",
"34280",
"263072",
"3812134",
"81665592"
]
| [
"nonn",
"more"
]
| 5 | 1 | 4 | null | null | Eric W. Weisstein, Apr 24 2023 | 2025-02-16T08:34:05 | oeisdata/seq/A362/A362538.seq | 979d1ddf503a40858cd27fbad198400b |
A362539 | Number of chordless cycles of length >=4 in the n X n zebra graph. | [
"0",
"0",
"0",
"0",
"2",
"510",
"89513",
"5384392"
]
| [
"nonn",
"more"
]
| 11 | 1 | 5 | null | null | Eric W. Weisstein, Apr 24 2023 | 2025-02-16T08:34:05 | oeisdata/seq/A362/A362539.seq | f4f99ae5b45c16b8eaa2ed22e43814a1 |
A362540 | Number of chordless cycles of length >= 4 in the n-flower graph. | [
"3",
"23",
"63",
"127",
"273",
"583",
"1287",
"2975",
"6993",
"16535",
"39525",
"95071",
"229029",
"552199",
"1332375",
"3215807",
"7762611",
"18739607",
"45240309",
"109217983",
"263673699",
"636563527",
"1536798717",
"3710157407",
"8957109801",
"21624374039",
"52205854257",
"126036078751",
"304278008331",
"734592089095"
]
| [
"nonn",
"easy"
]
| 24 | 2 | 1 | [
"A362540",
"A362545"
]
| null | Eric W. Weisstein, Apr 24 2023 | 2025-02-16T08:34:05 | oeisdata/seq/A362/A362540.seq | 38130bf3483481d4c20bc2d1971462bd |
A362541 | Number of chordless cycles of length >=4 in the n X n giraffe graph. | [
"0",
"0",
"0",
"0",
"1",
"64",
"10362",
"3514896"
]
| [
"nonn",
"more"
]
| 7 | 1 | 6 | null | null | Eric W. Weisstein, Apr 24 2023 | 2025-02-16T08:34:05 | oeisdata/seq/A362/A362541.seq | 337b9d8b55202c17863552c33b3a34dd |
A362542 | Number of chordless cycles of length >=4 in the n-Goldberg graph. | [
"167",
"617",
"2028",
"7755",
"31790",
"127921",
"519144",
"2156929",
"9033368",
"37912247",
"159883298",
"677172001",
"2874325792",
"12218015649",
"52002840492",
"221537338251",
"944295735054",
"4026601604297",
"17174885851616",
"73271037438905",
"312626187952376",
"1334000464514567",
"5692623856528338"
]
| [
"nonn",
"easy"
]
| 29 | 3 | 1 | [
"A362542",
"A362546"
]
| null | Eric W. Weisstein, Apr 24 2023 | 2025-05-27T14:59:10 | oeisdata/seq/A362/A362542.seq | 35673d0f93cada56a5642a0986981bab |
A362543 | Number of chordless cycles of length >= 4 in the tetrahedral (Johnson) graph. | [
"1134",
"39651",
"5171088",
"2660896170",
"4613923014804"
]
| [
"nonn",
"more"
]
| 16 | 6 | 1 | [
"A297670",
"A362543",
"A362547"
]
| null | Eric W. Weisstein, Apr 24 2023 | 2025-02-16T08:34:05 | oeisdata/seq/A362/A362543.seq | d85c5a5fc0ceb29c65225db4c21d613a |
A362544 | Number of odd chordless cycles of length >=5 in the n-diagonal intersection graph. | [
"0",
"0",
"2",
"72",
"25085",
"1191832"
]
| [
"nonn",
"more"
]
| 5 | 3 | 3 | null | null | Eric W. Weisstein, Apr 24 2023 | 2025-02-16T08:34:05 | oeisdata/seq/A362/A362544.seq | c7c431ebbd29248bf3628b8d5e0459ea |
A362545 | Number of odd chordless cycles of length >4 in the (2n+1)-flower snark. | [
"1",
"13",
"81",
"477",
"2785",
"16237",
"94641",
"551613",
"3215041",
"18738637",
"109216785",
"636562077",
"3710155681",
"21624372013",
"126036076401",
"734592086397",
"4281516441985",
"24954506565517",
"145445522951121",
"847718631141213",
"4940866263896161",
"28797478952235757",
"167844007449518385",
"978266565744874557",
"5701755387019728961",
"33232265756373499213"
]
| [
"nonn"
]
| 15 | 0 | 2 | [
"A002203",
"A362545"
]
| null | Eric W. Weisstein, Apr 24 2023 | 2025-02-16T08:34:05 | oeisdata/seq/A362/A362545.seq | 885c18b8b82ecc6916bbab2444f11e69 |
A362546 | Number of odd chordless cycles of length >=5 in the n-Goldberg graph. | [
"78",
"296",
"991",
"3828",
"15807",
"63792",
"259255",
"1077860",
"4515523",
"18953864",
"79937235",
"338577316",
"1437145747",
"6108973856",
"26001352815",
"110768535036",
"472147600567",
"2013300270136",
"8587441864815",
"36635516602300",
"156313089749627",
"667000223816592",
"2846311911402811"
]
| [
"nonn",
"easy"
]
| 22 | 3 | 1 | [
"A362542",
"A362546"
]
| null | Eric W. Weisstein, Apr 24 2023 | 2025-05-27T12:25:54 | oeisdata/seq/A362/A362546.seq | c796e2d8253bc90f30d30a57ba84984e |
A362547 | Number of odd chordless cycles of length >=5 in the n-tetrahedral (Johnson) graph. | [
"144",
"23796",
"2266368",
"1349587080",
"2312684548704"
]
| [
"nonn",
"more"
]
| 13 | 6 | 1 | [
"A303505",
"A362543",
"A362547"
]
| null | Eric W. Weisstein, Apr 24 2023 | 2025-02-16T08:34:05 | oeisdata/seq/A362/A362547.seq | daf320eb2d9dce456d2f465dc19a898e |
A362548 | Number of partitions of n with at least three parts larger than 1. | [
"0",
"0",
"0",
"0",
"0",
"0",
"1",
"2",
"5",
"9",
"16",
"25",
"40",
"58",
"85",
"119",
"166",
"224",
"303",
"399",
"526",
"681",
"880",
"1122",
"1430",
"1801",
"2266",
"2827",
"3521",
"4354",
"5378",
"6601",
"8092",
"9870",
"12020",
"14576",
"17652",
"21294",
"25653",
"30804",
"36937",
"44162",
"52732",
"62798",
"74690",
"88627",
"105028",
"124201",
"146696",
"172924",
"203600",
"239292",
"280912"
]
| [
"nonn"
]
| 21 | 0 | 8 | [
"A000041",
"A033638",
"A119907",
"A362548"
]
| null | Wouter Meeussen, Apr 24 2023 | 2023-04-27T16:35:20 | oeisdata/seq/A362/A362548.seq | a63563a8c06680101ae36047b5f78c57 |
A362549 | Number of partitions of [n] whose blocks can be ordered such that the i-th block (except possibly the last) has at least i elements and no block j > i has an element smaller than the i-th smallest element of block i. | [
"1",
"1",
"2",
"4",
"9",
"23",
"64",
"187",
"566",
"1777",
"5820",
"19944",
"71343",
"264719",
"1011292",
"3953381",
"15756609",
"63945484",
"264384828",
"1115246518",
"4806957739",
"21189601861",
"95516470253",
"439777682222",
"2064164172616",
"9853934668051",
"47736608806520",
"234235866539512",
"1162618720397931"
]
| [
"nonn"
]
| 32 | 0 | 3 | [
"A000110",
"A007476",
"A092920",
"A210540",
"A362549",
"A362635",
"A362637",
"A362893"
]
| null | Alois P. Heinz, Apr 24 2023 | 2023-05-15T16:06:43 | oeisdata/seq/A362/A362549.seq | d90ad2e0d26c92d01f9280e93062ea3a |
A362550 | Number of even nontotients less than 10^n. | [
"0",
"13",
"210",
"2627",
"29747",
"319817",
"3365629",
"34962092",
"360152096",
"3688820638"
]
| [
"nonn",
"more"
]
| 43 | 1 | 2 | [
"A002202",
"A005277",
"A072077",
"A362550"
]
| null | Robert G. Wilson v, Apr 24 2023 | 2023-04-29T00:26:31 | oeisdata/seq/A362/A362550.seq | 8e8dc5ebaa04298e093659003acaebba |
A362551 | a(0)=0. For each digit d in the sequence, append the smallest unused integer such that its last digit equals d. | [
"0",
"10",
"1",
"20",
"11",
"2",
"30",
"21",
"31",
"12",
"3",
"40",
"22",
"41",
"13",
"51",
"61",
"32",
"23",
"4",
"50",
"42",
"52",
"14",
"71",
"81",
"33",
"5",
"91",
"6",
"101",
"43",
"62",
"72",
"53",
"24",
"15",
"60",
"34",
"82",
"25",
"92",
"111",
"44",
"7",
"121",
"8",
"131",
"63",
"73",
"35",
"9",
"141",
"16",
"151",
"70",
"161",
"54",
"83",
"26",
"102",
"17",
"112",
"45",
"93"
]
| [
"nonn",
"base",
"easy"
]
| 33 | 0 | 2 | [
"A106001",
"A362371",
"A362551"
]
| null | Gavin Lupo, Apr 24 2023 | 2023-05-03T09:11:39 | oeisdata/seq/A362/A362551.seq | 927760d3491c0c36c2e9c622349206a3 |
A362552 | a(n) = n for n <= 2. For n > 2, a(n) is the least novel k (with rad(k) != rad(a(n-1))) such that k shares a nontrivial divisor with one of a(n-1), a(n-2), but not with the other. | [
"1",
"2",
"6",
"3",
"4",
"9",
"8",
"10",
"5",
"12",
"14",
"7",
"16",
"18",
"15",
"22",
"11",
"20",
"24",
"21",
"26",
"13",
"28",
"30",
"25",
"27",
"33",
"44",
"32",
"55",
"34",
"17",
"36",
"38",
"19",
"40",
"35",
"46",
"23",
"42",
"39",
"49",
"45",
"48",
"52",
"51",
"50",
"56",
"63",
"57",
"70",
"58",
"29",
"54",
"60",
"65",
"62",
"31",
"64",
"66",
"69",
"68",
"74",
"37",
"72",
"75",
"76",
"81",
"80",
"82",
"41",
"78",
"84",
"77",
"86",
"43",
"88",
"90"
]
| [
"nonn"
]
| 19 | 1 | 2 | [
"A064413",
"A098550",
"A336957",
"A362552"
]
| null | David James Sycamore, Apr 24 2023 | 2025-06-21T11:51:19 | oeisdata/seq/A362/A362552.seq | bc9525995455df718fbefe860965c29b |
A362553 | Gale CGF's: The number of basic cyclotomic generating functions of degree n with numerator multiset bigger than denominator multiset in the Gale partial order. | [
"1",
"1",
"3",
"4",
"10",
"12",
"27",
"33",
"68",
"82",
"154",
"187",
"346",
"410",
"714",
"857",
"1460",
"1722",
"2860",
"3378",
"5501"
]
| [
"nonn",
"more"
]
| 9 | 0 | 3 | null | null | Sara Billey, Apr 24 2023 | 2023-06-04T21:12:58 | oeisdata/seq/A362/A362553.seq | 0bbd9ab54388cab5d78e1bc2783dcef2 |
A362554 | The number of generators for the Gale submonoid of basic cyclotomic generating functions of degree n with numerator multiset bigger than denominator multiset in Gale order. | [
"1",
"2",
"1",
"3",
"1",
"4",
"1",
"6",
"1",
"5",
"1",
"14",
"2",
"9",
"4",
"28",
"1",
"33",
"14",
"61"
]
| [
"nonn",
"more"
]
| 10 | 1 | 2 | null | null | Sara Billey, Apr 24 2023 | 2023-06-04T21:13:14 | oeisdata/seq/A362/A362554.seq | 9c4254df5e6eeb9cbaeac76ee57e0919 |
A362555 | Number of distinct n-digit suffixes generated by iteratively multiplying an integer by 6, where the initial integer is 1. | [
"2",
"7",
"28",
"129",
"630",
"3131",
"15632",
"78133",
"390634",
"1953135",
"9765636",
"48828137",
"244140638",
"1220703139",
"6103515640",
"30517578141",
"152587890642",
"762939453143",
"3814697265644",
"19073486328145",
"95367431640646",
"476837158203147",
"2384185791015648",
"11920928955078149",
"59604644775390650"
]
| [
"nonn",
"base",
"easy"
]
| 38 | 1 | 1 | [
"A104745",
"A362468",
"A362555",
"A370557"
]
| null | Gil Moses, Apr 24 2023 | 2024-03-02T00:03:37 | oeisdata/seq/A362/A362555.seq | fa6d88d9fe3d35e6f0f1b2ef732e1cb0 |
A362556 | Number of distinct n-digit suffixes generated by iteratively multiplying an integer by 8, where the initial integer is 1. | [
"5",
"21",
"101",
"502",
"2502",
"12502",
"62503",
"312503",
"1562503",
"7812504",
"39062504",
"195312504",
"976562505",
"4882812505",
"24414062505",
"122070312506",
"610351562506",
"3051757812506",
"15258789062507",
"76293945312507",
"381469726562507"
]
| [
"nonn",
"base",
"easy"
]
| 36 | 1 | 1 | [
"A001018",
"A005054",
"A014391",
"A014392",
"A362468",
"A362556"
]
| null | Gil Moses, Apr 24 2023 | 2024-03-02T14:48:10 | oeisdata/seq/A362/A362556.seq | 50cf09f759dd3a25d9cd67b37006639f |
A362557 | Start with first term 0, then add paired terms counting every preceding term up to the largest term so far and loop back to 0 after every pair has been counted. | [
"0",
"1",
"0",
"1",
"1",
"2",
"0",
"3",
"1",
"1",
"2",
"1",
"3",
"3",
"0",
"6",
"1",
"2",
"2",
"3",
"3",
"1",
"6",
"4",
"0",
"8",
"1",
"4",
"2",
"5",
"3",
"2",
"4",
"1",
"5",
"2",
"6",
"1",
"8",
"5",
"0",
"11",
"1",
"7",
"2",
"6",
"3",
"3",
"4",
"3",
"5",
"4",
"6",
"1",
"7",
"2",
"8",
"1",
"11",
"6",
"0",
"14",
"1",
"9",
"2",
"9",
"3",
"5",
"4",
"5",
"5",
"6",
"6",
"2",
"7",
"3",
"8",
"2",
"9",
"2",
"11",
"1",
"14",
"7",
"0"
]
| [
"nonn",
"look",
"easy"
]
| 15 | 1 | 6 | [
"A055186",
"A217760",
"A342585",
"A362557"
]
| null | Robin Powell, Apr 24 2023 | 2023-06-24T16:52:08 | oeisdata/seq/A362/A362557.seq | d3574d1eba282b8c88e254334182db3c |
A362558 | Number of integer partitions of n without a nonempty initial consecutive subsequence summing to n/2. | [
"1",
"1",
"1",
"3",
"2",
"7",
"6",
"15",
"11",
"30",
"27",
"56",
"44",
"101",
"93",
"176",
"149",
"297",
"271",
"490",
"432",
"792",
"744",
"1255",
"1109",
"1958",
"1849",
"3010",
"2764",
"4565",
"4287",
"6842",
"6328",
"10143",
"9673",
"14883",
"13853",
"21637",
"20717",
"31185",
"29343",
"44583",
"42609",
"63261",
"60100",
"89134",
"85893",
"124754"
]
| [
"nonn"
]
| 15 | 0 | 4 | [
"A000009",
"A000041",
"A058398",
"A058695",
"A108917",
"A169942",
"A213173",
"A307683",
"A322439",
"A325347",
"A325676",
"A353864",
"A359893",
"A359901",
"A359902",
"A360254",
"A360672",
"A360675",
"A360686",
"A360687",
"A362051",
"A362558",
"A362559",
"A362560"
]
| null | Gus Wiseman, Apr 24 2023 | 2023-04-28T15:46:33 | oeisdata/seq/A362/A362558.seq | 3f0ff9d33f38c8b9b07f19bda5885302 |
A362559 | Number of integer partitions of n whose weighted sum is divisible by n. | [
"1",
"1",
"2",
"1",
"2",
"3",
"3",
"3",
"5",
"4",
"5",
"7",
"8",
"11",
"14",
"14",
"18",
"25",
"28",
"26",
"42",
"47",
"52",
"73",
"77",
"100",
"118",
"122",
"158",
"188",
"219",
"266",
"313",
"367",
"412",
"489",
"578",
"698",
"809",
"914",
"1094",
"1268",
"1472",
"1677",
"1948",
"2305",
"2656",
"3072",
"3527",
"4081",
"4665",
"5342",
"6225",
"7119",
"8150",
"9408"
]
| [
"nonn"
]
| 18 | 1 | 3 | [
"A000009",
"A000041",
"A001227",
"A008284",
"A051293",
"A058398",
"A067538",
"A067539",
"A240219",
"A261079",
"A264034",
"A304818",
"A318283",
"A322439",
"A326622",
"A327482",
"A358136",
"A359361",
"A359893",
"A360068",
"A360069",
"A362051",
"A362558",
"A362559",
"A362560"
]
| null | Gus Wiseman, Apr 24 2023 | 2023-04-29T14:39:34 | oeisdata/seq/A362/A362559.seq | 3314acad78f6f18ee31acda2eb6600a4 |
A362560 | Number of integer partitions of n whose weighted sum is not divisible by n. | [
"0",
"1",
"1",
"4",
"5",
"8",
"12",
"19",
"25",
"38",
"51",
"70",
"93",
"124",
"162",
"217",
"279",
"360",
"462",
"601",
"750",
"955",
"1203",
"1502",
"1881",
"2336",
"2892",
"3596",
"4407",
"5416",
"6623",
"8083",
"9830",
"11943",
"14471",
"17488",
"21059",
"25317",
"30376",
"36424",
"43489",
"51906",
"61789",
"73498",
"87186",
"103253",
"122098"
]
| [
"nonn"
]
| 6 | 1 | 4 | [
"A000009",
"A000041",
"A001227",
"A008284",
"A051293",
"A058398",
"A067538",
"A240219",
"A261079",
"A264034",
"A304818",
"A318283",
"A322439",
"A326622",
"A327482",
"A349156",
"A358136",
"A359361",
"A360068",
"A360069",
"A360241",
"A362051",
"A362558",
"A362559",
"A362560"
]
| null | Gus Wiseman, Apr 28 2023 | 2023-04-29T14:11:45 | oeisdata/seq/A362/A362560.seq | 0e934a4139c20a21d0ebd19394bfaed6 |
A362561 | Sphenic numbers k such that none of k-2, k-1, k+1 and k+2 is squarefree. | [
"170",
"530",
"638",
"874",
"962",
"1826",
"2526",
"2674",
"2726",
"2782",
"2874",
"3178",
"3970",
"4490",
"4526",
"4654",
"5930",
"6026",
"6254",
"7138",
"7174",
"8074",
"8126",
"8426",
"8723",
"8958",
"8974",
"9926",
"10286",
"10526",
"10610",
"11222",
"11494",
"11674",
"11710",
"11998",
"12338",
"12626",
"12770",
"12986",
"13574",
"15238",
"15274",
"15326",
"15826"
]
| [
"nonn"
]
| 97 | 1 | 1 | [
"A007304",
"A013929",
"A153215",
"A362561",
"A364010",
"A364905"
]
| null | Massimo Kofler, Sep 07 2023 | 2023-10-03T21:23:38 | oeisdata/seq/A362/A362561.seq | d640d3fc3564f5df3b77336904c787a4 |
A362562 | Number of non-constant integer partitions of n having a unique mode equal to the mean. | [
"0",
"0",
"0",
"0",
"0",
"0",
"0",
"0",
"1",
"0",
"1",
"0",
"4",
"0",
"3",
"3",
"7",
"0",
"12",
"0",
"18",
"12",
"9",
"0",
"52",
"12",
"14",
"33",
"54",
"0",
"121",
"0",
"98",
"76",
"31",
"100",
"343",
"0",
"45",
"164",
"493",
"0",
"548",
"0",
"483",
"757",
"88",
"0",
"1789",
"289",
"979",
"645",
"1290",
"0",
"2225",
"1677",
"3371",
"1200",
"221",
"0",
"10649"
]
| [
"nonn"
]
| 7 | 0 | 13 | [
"A000009",
"A000041",
"A008284",
"A008289",
"A237984",
"A240219",
"A325347",
"A327472",
"A327473",
"A327476",
"A359893",
"A359901",
"A362562",
"A362608",
"A363719",
"A363720",
"A363723",
"A363724",
"A363725",
"A363728",
"A363729",
"A363731",
"A363740"
]
| null | Gus Wiseman, Jun 27 2023 | 2023-06-27T19:41:21 | oeisdata/seq/A362/A362562.seq | 2fdd9c3bcebac17a7f08d7cad818cccc |
A362563 | Triangle T(n, k) read by rows, where T(n, k) is the number of {123,132}-avoiding parking functions of size n with k active sites, for 2 <= k <= n+1. | [
"1",
"1",
"2",
"1",
"3",
"4",
"3",
"5",
"8",
"8",
"8",
"14",
"17",
"20",
"16",
"24",
"40",
"49",
"50",
"48",
"32",
"75",
"123",
"147",
"151",
"136",
"112",
"64",
"243",
"393",
"465",
"473",
"432",
"352",
"256",
"128",
"808",
"1294",
"1519",
"1540",
"1409",
"1176",
"880",
"576",
"256",
"2742",
"4358",
"5087",
"5144",
"4721",
"3986",
"3088",
"2144",
"1280",
"512"
]
| [
"nonn",
"tabl"
]
| 21 | 1 | 3 | [
"A000079",
"A000958",
"A362563"
]
| null | Lara Pudwell, Apr 24 2023 | 2023-04-26T15:39:32 | oeisdata/seq/A362/A362563.seq | b801ead90f6a0f299b02c27ade1023d0 |
A362564 | a(n) is the largest integer x such that n + 2^x is a square, or -1 if no such number exists. | [
"3",
"1",
"0",
"5",
"2",
"-1",
"1",
"3",
"4",
"-1",
"-1",
"2",
"-1",
"1",
"0",
"7",
"9",
"-1",
"-1",
"4",
"2",
"-1",
"1",
"0",
"-1",
"-1",
"-1",
"3",
"-1",
"-1",
"-1",
"5",
"8",
"1",
"0",
"6",
"-1",
"-1",
"-1",
"-1",
"7",
"-1",
"-1",
"-1",
"2",
"-1",
"1",
"4",
"5",
"-1",
"-1",
"-1",
"-1",
"-1",
"-1",
"3",
"6",
"-1",
"-1",
"2",
"-1",
"1",
"0",
"9",
"10",
"-1",
"-1",
"11",
"-1",
"-1",
"-1",
"-1",
"3",
"-1",
"-1",
"-1",
"2",
"-1",
"1",
"6",
"-1",
"-1",
"-1",
"4",
"-1"
]
| [
"sign"
]
| 44 | 1 | 1 | [
"A000079",
"A000290",
"A051204",
"A234000",
"A238454",
"A247763",
"A362564"
]
| null | Yifan Xie, Apr 24 2023 | 2023-07-28T23:51:42 | oeisdata/seq/A362/A362564.seq | 6c4e8583dd4a06c4622b01f9a6c11414 |
A362565 | The number of linear extensions of n fork-join DAGs of width 4. | [
"1",
"24",
"532224",
"237124952064",
"765985681152147456",
"10915755547826792536473600",
"510278911920303453316871670988800",
"64243535333922263307871175411271676723200",
"18920767554543625469992819764324607588052867481600"
]
| [
"nonn"
]
| 10 | 0 | 2 | [
"A357297",
"A362565"
]
| null | José E. Solsona, Apr 24 2023 | 2023-05-15T08:43:16 | oeisdata/seq/A362/A362565.seq | 9c8025ef12d1c1f65e913e94ccf33728 |
A362566 | a(n) is the area of the smallest rectangle that the Harter-Heighway Dragon Curve will fit in after n doublings, starting with a segment of length 1. | [
"0",
"1",
"2",
"6",
"15",
"42",
"77",
"180",
"345",
"806",
"1457",
"3276",
"5985",
"13462",
"24257",
"54060",
"97665",
"217686",
"391937",
"871596",
"1570305",
"3492182",
"6286337",
"13972140",
"25155585",
"55911766",
"100642817",
"223660716",
"402612225",
"894735702",
"1610530817",
"3578997420",
"6442287105",
"14316361046"
]
| [
"nonn",
"easy"
]
| 29 | 0 | 3 | [
"A014577",
"A341029",
"A362566"
]
| null | Nicolay Avilov, Apr 25 2023 | 2023-05-04T06:40:14 | oeisdata/seq/A362/A362566.seq | fd0ecfa2fc96a9eb400077805c11e5ed |
A362567 | Number of rational solutions to the S-unit equation x + y = 1, where S = {prime(i): 1 <= i <= n}. | [
"0",
"3",
"21",
"99",
"375",
"1137",
"3267",
"8595",
"21891",
"52965",
"120087",
"267843",
"572145",
"1194483",
"2476743",
"5037825",
"9980691"
]
| [
"nonn",
"more"
]
| 16 | 0 | 2 | [
"A002071",
"A361661",
"A362567",
"A362593"
]
| null | Robin Visser, Apr 25 2023 | 2025-06-18T00:58:26 | oeisdata/seq/A362/A362567.seq | e8193cc21a0228dd555dac4300dd512f |
A362568 | E.g.f. satisfies A(x) = exp(x/A(x)^x). | [
"1",
"1",
"1",
"-5",
"-23",
"121",
"1321",
"-7349",
"-148175",
"853777",
"27840241",
"-163354949",
"-7934320679",
"46820981065",
"3203091569497",
"-18833438286389",
"-1742847946697759",
"10137524365568161",
"1230956201929018465",
"-7042544858204663813",
"-1095864481054115534519"
]
| [
"sign"
]
| 15 | 0 | 4 | [
"A177885",
"A361777",
"A362568",
"A362569"
]
| null | Seiichi Manyama, Apr 25 2023 | 2025-02-16T08:34:05 | oeisdata/seq/A362/A362568.seq | 61c16807ef0fedc10eac4986ecd00ce1 |
A362569 | E.g.f. satisfies A(x) = exp(x/A(x)^(x^2)). | [
"1",
"1",
"1",
"1",
"-23",
"-119",
"-359",
"6721",
"78961",
"450577",
"-7867439",
"-160506719",
"-1421049959",
"23995634521",
"745945175977",
"9197488067041",
"-152057966904479",
"-6667968305775839",
"-107047941299543519",
"1740437689443523777",
"102311231044267813321",
"2043217889363061489961"
]
| [
"sign"
]
| 16 | 0 | 5 | [
"A177885",
"A362568",
"A362569",
"A362571"
]
| null | Seiichi Manyama, Apr 25 2023 | 2025-02-16T08:34:05 | oeisdata/seq/A362/A362569.seq | 95deddbd848bcbd4f7fb87e200c9eb00 |
A362570 | a(n) is the number of isogeny classes of elliptic curves over the finite field of order prime(n). | [
"5",
"7",
"9",
"11",
"13",
"15",
"17",
"17",
"19",
"21",
"23",
"25",
"25",
"27",
"27",
"29",
"31",
"31",
"33",
"33",
"35",
"35",
"37",
"37",
"39",
"41",
"41",
"41",
"41",
"43",
"45",
"45",
"47",
"47",
"49",
"49",
"51",
"51",
"51",
"53",
"53",
"53",
"55",
"55",
"57",
"57",
"59",
"59",
"61",
"61",
"61",
"61",
"63",
"63",
"65",
"65",
"65",
"65",
"67",
"67",
"67",
"69",
"71",
"71",
"71",
"71",
"73",
"73",
"75",
"75",
"75",
"75",
"77"
]
| [
"nonn"
]
| 29 | 1 | 1 | [
"A247485",
"A362198",
"A362201",
"A362243",
"A362570",
"A364681"
]
| null | Robin Visser, Apr 25 2023 | 2023-10-23T08:30:29 | oeisdata/seq/A362/A362570.seq | e23f99199a5b0ef2b42a9b7ec63fd533 |
A362571 | E.g.f. satisfies A(x) = exp(x * A(x)^(x^2)). | [
"1",
"1",
"1",
"1",
"25",
"121",
"361",
"8401",
"82321",
"456625",
"11496241",
"172149121",
"1452983401",
"40947003241",
"823437038425",
"9491714865361",
"300842942443681",
"7568303382376801",
"111494036396244961",
"3957438528527140225",
"119206427681076135481",
"2147109997071581380441"
]
| [
"nonn"
]
| 20 | 0 | 5 | [
"A000272",
"A361777",
"A362569",
"A362571",
"A362573"
]
| null | Seiichi Manyama, Apr 25 2023 | 2025-02-16T08:34:05 | oeisdata/seq/A362/A362571.seq | 437a4fde68d6270362659d04910b1eb2 |
A362572 | E.g.f. satisfies A(x) = exp(x * A(x)^(x/2)). | [
"1",
"1",
"1",
"4",
"13",
"76",
"421",
"3361",
"26209",
"267688",
"2689201",
"33579811",
"412800961",
"6103089994",
"88754687113",
"1517513934301",
"25487131948321",
"495009722435176",
"9430633148123809",
"205154208873930763",
"4371962638221712801",
"105330237499426955926"
]
| [
"nonn"
]
| 18 | 0 | 4 | [
"A000272",
"A361777",
"A362572",
"A362573"
]
| null | Seiichi Manyama, Apr 25 2023 | 2025-02-16T08:34:05 | oeisdata/seq/A362/A362572.seq | 6732587c70b96545e23a84da48773e78 |
A362573 | E.g.f. satisfies A(x) = exp(x * A(x)^(x^2/6)). | [
"1",
"1",
"1",
"1",
"5",
"21",
"61",
"351",
"2521",
"13105",
"96041",
"933021",
"7098301",
"65348141",
"787190405",
"7896243811",
"88712631281",
"1269172794401",
"15784837036561",
"210688183375705",
"3486485630182581",
"51674172769168741",
"801474314335394701",
"15059801657898920231",
"258815184609843935305"
]
| [
"nonn"
]
| 21 | 0 | 5 | [
"A000272",
"A362571",
"A362572",
"A362573"
]
| null | Seiichi Manyama, Apr 25 2023 | 2025-02-16T08:34:05 | oeisdata/seq/A362/A362573.seq | a1be0a065a17e9a2e4f11c9995c3d517 |
A362574 | Number of vertex cuts in the n X n queen graph. | [
"0",
"0",
"16",
"720",
"76268",
"24883487"
]
| [
"nonn",
"more"
]
| 12 | 1 | 3 | [
"A285765",
"A362574"
]
| null | Eric W. Weisstein, Apr 25 2023 | 2025-02-16T08:34:05 | oeisdata/seq/A362/A362574.seq | ad45ffbaa602bb7524b2c639de4330ae |
A362575 | Number of vertex cuts in the n X n rook graph. | [
"0",
"2",
"114",
"9602",
"2103570",
"1465969442",
"3767396928834",
"38267690721261122",
"1543992652549401346770",
"246181774152151716764436962",
"154911195038079578918382192282114",
"384894219829087015520536416987293088002",
"3779926606713983438336679626484814602924257490"
]
| [
"nonn"
]
| 12 | 1 | 2 | [
"A286189",
"A362575",
"A362576"
]
| null | Eric W. Weisstein, Apr 25 2023 | 2025-02-16T08:34:05 | oeisdata/seq/A362/A362575.seq | ed137f392313c48cabd9df75d4714fef |
A362576 | Number of vertex cuts in the n X n rook complement graph. | [
"0",
"9",
"114",
"908",
"5985",
"35505",
"196602",
"1036992",
"5277357",
"26134385",
"126677826",
"603492444",
"2834183937",
"13150592889",
"60391598610",
"274863240992",
"1241212143357",
"5566202141193",
"24807561785514",
"109950785325900",
"484883791129185",
"2128652665933409",
"9306262365861834"
]
| [
"nonn"
]
| 12 | 1 | 2 | [
"A291593",
"A362575",
"A362576"
]
| null | Eric W. Weisstein, Apr 25 2023 | 2025-02-16T08:34:05 | oeisdata/seq/A362/A362576.seq | 4f354186b771b5bfee4d94462da3d447 |
A362577 | Number of vertex cuts in the n-trapezohedral graph. | [
"5",
"15",
"88",
"435",
"1957",
"8394",
"35273",
"146795",
"607492",
"2503687",
"10282873",
"42103670",
"171925709",
"700339023",
"2846710048",
"11549292123",
"46778169517",
"189188288130",
"764162167025",
"3083079787091",
"12426568931356",
"50042249662927",
"201366368701441",
"809732016511598",
"3254128933657397"
]
| [
"nonn",
"easy"
]
| 17 | 1 | 1 | [
"A005248",
"A206776",
"A362577"
]
| null | Eric W. Weisstein, Apr 25 2023 | 2025-02-16T08:34:05 | oeisdata/seq/A362/A362577.seq | 5d1778d70afcca777600bea2b49283ac |
A362578 | Prime numbers followed by two consecutive numbers which are products of four distinct primes (or tetraprimes). | [
"8293",
"16553",
"17389",
"18289",
"22153",
"26893",
"29209",
"33409",
"35509",
"36293",
"39233",
"39829",
"40493",
"41809",
"45589",
"48109",
"58393",
"59629",
"59753",
"59981",
"60493",
"60913",
"64013",
"64921",
"65713",
"66169",
"69221",
"71329",
"74093",
"75577",
"75853",
"77689",
"77933",
"79393",
"79609",
"82913",
"84533",
"85853",
"87589",
"87701",
"88681"
]
| [
"nonn"
]
| 16 | 1 | 1 | [
"A000040",
"A046386",
"A140078",
"A361796",
"A362578"
]
| null | Massimo Kofler, Apr 25 2023 | 2023-06-19T10:45:41 | oeisdata/seq/A362/A362578.seq | 8451e78857dbfcbd266e280021d90965 |
A362579 | Numbers k such that the decimal expansion of 1/k does not contain the digit 5. | [
"1",
"3",
"5",
"6",
"9",
"10",
"11",
"12",
"13",
"15",
"21",
"24",
"25",
"27",
"30",
"33",
"36",
"37",
"41",
"44",
"45",
"48",
"50",
"52",
"55",
"60",
"72",
"73",
"75",
"77",
"84",
"88",
"90",
"91",
"96",
"99",
"100",
"101",
"110",
"111",
"120",
"123",
"125",
"130",
"135",
"137",
"143",
"144",
"150",
"159",
"165",
"205",
"208",
"210",
"216",
"225",
"231",
"237",
"239",
"240",
"250",
"259",
"264",
"270",
"271",
"273",
"275",
"288"
]
| [
"nonn",
"base"
]
| 37 | 1 | 2 | [
"A353441",
"A362579"
]
| null | Robert Israel, Apr 25 2023 | 2024-04-23T07:33:19 | oeisdata/seq/A362/A362579.seq | a2ffbbcc76b66cb2d85f249f6d652c21 |
A362580 | a(n) = packing chromatic number of an n X n grid. | [
"1",
"3",
"4",
"5",
"7",
"8",
"9",
"9",
"10",
"11"
]
| [
"nonn",
"hard",
"more"
]
| 33 | 1 | 2 | [
"A335203",
"A362580"
]
| null | Robert C. Lyons, Apr 25 2023 | 2023-05-01T10:00:49 | oeisdata/seq/A362/A362580.seq | 90a95bfdefec3930a47a1b61805c539b |
A362581 | Number of alternating permutations on [2n+1] with 1 in position n+1. | [
"1",
"2",
"6",
"80",
"1750",
"64512",
"3438204",
"253913088",
"24687555750",
"3062092267520",
"471565937953396",
"88298062293762048",
"19753693667117055100",
"5203824518733863321600",
"1594426273578194363292600",
"562191171748426920367226880",
"226024705816530632892282399750"
]
| [
"nonn"
]
| 17 | 0 | 2 | [
"A000111",
"A104345",
"A362581"
]
| null | Alois P. Heinz, Apr 25 2023 | 2023-04-26T07:46:07 | oeisdata/seq/A362/A362581.seq | 9e2b93a4a7e4f40e123ac46b0367e83c |
A362582 | Triangular array read by rows. T(n,k) is the number of alternating permutations of [2n+1] having exactly 2k elements to the left of 1, n >= 0, 0 <= k <= n. | [
"1",
"1",
"1",
"5",
"6",
"5",
"61",
"75",
"75",
"61",
"1385",
"1708",
"1750",
"1708",
"1385",
"50521",
"62325",
"64050",
"64050",
"62325",
"50521",
"2702765",
"3334386",
"3427875",
"3438204",
"3427875",
"3334386",
"2702765",
"199360981",
"245951615",
"252857605",
"253708455",
"253708455",
"252857605",
"245951615",
"199360981"
]
| [
"nonn",
"tabl"
]
| 22 | 0 | 4 | [
"A000111",
"A000182",
"A000364",
"A000680",
"A104345",
"A362582"
]
| null | Geoffrey Critzer, Apr 25 2023 | 2023-04-27T11:47:35 | oeisdata/seq/A362/A362582.seq | 019e7fab4aa709ac2be69916fa7e237b |
A362583 | Concatenation of ((p mod 4) - 1)/2 for the primes from 3 through prime(n), converted from binary to decimal. | [
"1",
"2",
"5",
"11",
"22",
"44",
"89",
"179",
"358",
"717",
"1434",
"2868",
"5737",
"11475",
"22950",
"45901",
"91802",
"183605",
"367211",
"734422",
"1468845",
"2937691",
"5875382",
"11750764",
"23501528",
"47003057",
"94006115",
"188012230",
"376024460",
"752048921",
"1504097843",
"3008195686",
"6016391373",
"12032782746"
]
| [
"nonn",
"base"
]
| 66 | 2 | 2 | [
"A100672",
"A362583"
]
| null | Eric Vergo, Apr 30 2023 | 2024-02-29T17:23:22 | oeisdata/seq/A362/A362583.seq | 4fc4e78a41e24791478dd07dac3684a8 |
A362584 | Integers k > 1 such that k >= the square of the sum of their prime factors (A074373(k)). | [
"243",
"256",
"270",
"288",
"300",
"320",
"324",
"336",
"360",
"375",
"378",
"384",
"400",
"405",
"420",
"432",
"441",
"448",
"450",
"480",
"486",
"490",
"495",
"500",
"504",
"512",
"525",
"528",
"540",
"550",
"560",
"567",
"576",
"585",
"588",
"594",
"600",
"616",
"624",
"625",
"630",
"640",
"648",
"650",
"660",
"672",
"675",
"686",
"693",
"700",
"702",
"704"
]
| [
"nonn"
]
| 68 | 1 | 1 | [
"A001414",
"A074373",
"A362584"
]
| null | Simon R Blow, Jun 23 2023 | 2023-06-24T13:11:59 | oeisdata/seq/A362/A362584.seq | b000f61095a5ebe0f136775487eb1084 |
A362585 | Triangle read by rows, T(n, k) = A000670(n) * binomial(n, k). | [
"1",
"1",
"1",
"3",
"6",
"3",
"13",
"39",
"39",
"13",
"75",
"300",
"450",
"300",
"75",
"541",
"2705",
"5410",
"5410",
"2705",
"541",
"4683",
"28098",
"70245",
"93660",
"70245",
"28098",
"4683",
"47293",
"331051",
"993153",
"1655255",
"1655255",
"993153",
"331051",
"47293",
"545835",
"4366680",
"15283380",
"30566760",
"38208450",
"30566760",
"15283380",
"4366680",
"545835"
]
| [
"nonn",
"tabl"
]
| 11 | 0 | 4 | [
"A000670",
"A055372",
"A216794",
"A278073",
"A362585",
"A362586",
"A362849"
]
| null | Peter Luschny, Apr 26 2023 | 2023-05-10T11:50:26 | oeisdata/seq/A362/A362585.seq | d25bcc914f3683af6170920e346afbfe |
A362586 | Triangle read by rows, T(n, k) = A094088(n) * binomial(n, k). | [
"1",
"1",
"1",
"7",
"14",
"7",
"121",
"363",
"363",
"121",
"3907",
"15628",
"23442",
"15628",
"3907",
"202741",
"1013705",
"2027410",
"2027410",
"1013705",
"202741",
"15430207",
"92581242",
"231453105",
"308604140",
"231453105",
"92581242",
"15430207",
"1619195761",
"11334370327",
"34003110981",
"56671851635",
"56671851635",
"34003110981",
"11334370327",
"1619195761"
]
| [
"nonn",
"tabl"
]
| 13 | 0 | 4 | [
"A055372",
"A094088",
"A278073",
"A362585",
"A362586",
"A362587",
"A362849"
]
| null | Peter Luschny, Apr 26 2023 | 2024-04-24T11:40:17 | oeisdata/seq/A362/A362586.seq | 7a1a400f245ab5ad5114a139144902f0 |
A362587 | a(n) = 2^n * A094088(n). Row sums of A362586. | [
"1",
"2",
"28",
"968",
"62512",
"6487712",
"987533248",
"207257057408",
"57359688424192",
"20240182500956672",
"8869195638810631168",
"4725115451770644482048",
"3007722163880719988764672",
"2254432760608214922012434432",
"1965374406868398554356767244288",
"1971745067277979562424894483365888"
]
| [
"nonn"
]
| 6 | 0 | 2 | [
"A094088",
"A362586",
"A362587"
]
| null | Peter Luschny, Apr 26 2023 | 2023-05-10T11:50:11 | oeisdata/seq/A362/A362587.seq | 76a73df76a3956e81beb680924ed16a7 |
A362588 | Triangle read by rows, T(n, k) = RisingFactorial(n - k, k) * FallingFactorial(n, k). | [
"1",
"1",
"0",
"1",
"2",
"0",
"1",
"6",
"12",
"0",
"1",
"12",
"72",
"144",
"0",
"1",
"20",
"240",
"1440",
"2880",
"0",
"1",
"30",
"600",
"7200",
"43200",
"86400",
"0",
"1",
"42",
"1260",
"25200",
"302400",
"1814400",
"3628800",
"0",
"1",
"56",
"2352",
"70560",
"1411200",
"16934400",
"101606400",
"203212800",
"0"
]
| [
"nonn",
"tabl"
]
| 9 | 0 | 5 | [
"A002378",
"A010790",
"A228229",
"A362588"
]
| null | Peter Luschny, May 05 2023 | 2023-05-05T07:44:34 | oeisdata/seq/A362/A362588.seq | 4b7c1e46f3eb42d546a14dadf436eb95 |
A362589 | Triangular array read by rows. T(n,k) is the number of ways to form an ordered pair of n-permutations and then choose a size k subset of its common descent set, n >= 0, 0 <= k <= max{0,n-1}. | [
"1",
"1",
"4",
"1",
"36",
"18",
"1",
"576",
"432",
"68",
"1",
"14400",
"14400",
"3900",
"250",
"1",
"518400",
"648000",
"252000",
"32400",
"922",
"1",
"25401600",
"38102400",
"19404000",
"3880800",
"262542",
"3430",
"1",
"1625702400",
"2844979200",
"1795046400",
"493920000",
"56664384",
"2119152",
"12868",
"1"
]
| [
"nonn",
"tabf"
]
| 75 | 0 | 3 | [
"A001044",
"A102221",
"A192721",
"A362589"
]
| null | Geoffrey Critzer, May 01 2023 | 2023-05-02T09:01:37 | oeisdata/seq/A362/A362589.seq | b2659ba7ca472275fb025e9de5f7ced9 |
A362590 | Decimal expansion of the conventional value of von Klitzing constant (R{K-90}) in ohms (Omega). | [
"2",
"5",
"8",
"1",
"2",
"8",
"0",
"7"
]
| [
"cons",
"nonn",
"fini",
"full"
]
| 14 | 5 | 1 | [
"A248508",
"A248510",
"A361006",
"A361010",
"A361011",
"A361352",
"A362000",
"A362530",
"A362590"
]
| null | Marco Ripà, Apr 26 2023 | 2023-06-18T13:18:06 | oeisdata/seq/A362/A362590.seq | 2db5dde76fcb0384bdc92427fa2ce401 |
A362591 | Discriminants D of the positive Pell equation x^2 - D*y^2 = 1, whose fundamental and all higher roots produce abc-triples a+b=c (or 1 + D*y^2 = x^2) with radical R(abc) < c. | [
"2",
"5",
"7",
"8",
"12",
"13",
"14",
"18",
"20",
"21",
"27",
"28",
"29",
"31",
"32",
"39",
"41",
"45",
"46",
"47",
"48",
"50",
"52",
"53",
"54",
"56",
"60",
"62",
"63",
"67",
"69",
"70",
"72",
"73",
"74",
"75",
"77",
"79",
"80",
"84",
"85",
"89",
"92",
"93",
"96",
"98",
"103",
"108",
"109",
"112",
"113",
"114",
"116",
"117",
"122",
"124",
"125",
"126",
"127",
"128",
"135",
"137",
"139",
"145",
"147",
"149",
"150"
]
| [
"nonn"
]
| 29 | 1 | 1 | [
"A362591",
"A362592"
]
| null | Janis Kuzmanis, Apr 26 2023 | 2023-11-13T07:31:56 | oeisdata/seq/A362/A362591.seq | 8fded77255ffe7436e1194c275411157 |
A362592 | Discriminants D of the negative Pell equation x^2 - D*y^2 = -1, whose fundamental and all higher roots produce abc-triples a+b=c (or 1 + x^2 = D*y^2) with radical R(abc) < c. | [
"41",
"73",
"89",
"109",
"125",
"250",
"338",
"457",
"610",
"634",
"761",
"778",
"925"
]
| [
"nonn",
"more"
]
| 21 | 1 | 1 | [
"A362591",
"A362592"
]
| null | Janis Kuzmanis, Apr 26 2023 | 2023-11-12T05:32:56 | oeisdata/seq/A362/A362592.seq | bc043cb2503cea18e78827302b0a48a2 |
A362593 | Number of coprime positive integer S-unit solutions to a + b = c where a <= b < c, and where S = {prime(1), ..., prime(n)}. | [
"0",
"1",
"4",
"17",
"63",
"190",
"545",
"1433",
"3649",
"8828",
"20015",
"44641",
"95358",
"199081",
"412791",
"839638",
"1663449"
]
| [
"nonn",
"more"
]
| 13 | 0 | 3 | [
"A002071",
"A361661",
"A362567",
"A362593"
]
| null | Robin Visser, Apr 26 2023 | 2025-06-17T22:24:16 | oeisdata/seq/A362/A362593.seq | e64b465d61321aba933ef3b8e37477c2 |
A362594 | Exponentially odd numbers that are neither squarefree nor prime powers. | [
"24",
"40",
"54",
"56",
"88",
"96",
"104",
"120",
"135",
"136",
"152",
"160",
"168",
"184",
"189",
"216",
"224",
"232",
"248",
"250",
"264",
"270",
"280",
"296",
"297",
"312",
"328",
"344",
"351",
"352",
"375",
"376",
"378",
"384",
"408",
"416",
"424",
"440",
"456",
"459",
"472",
"480",
"486",
"488",
"513",
"520",
"536",
"544",
"552",
"568",
"584",
"594",
"608",
"616"
]
| [
"nonn"
]
| 47 | 1 | 1 | [
"A005117",
"A059956",
"A065463",
"A097054",
"A126706",
"A246551",
"A268335",
"A301517",
"A362594"
]
| null | Michael De Vlieger, Sep 08 2023 | 2023-09-27T02:43:30 | oeisdata/seq/A362/A362594.seq | dfd7b1e870490e54af3ca69e0ef3f8a2 |
A362595 | Number of parking functions of size n avoiding the patterns 132 and 321. | [
"1",
"1",
"3",
"12",
"52",
"229",
"1006",
"4387",
"18978",
"81489",
"347614",
"1474436",
"6223328",
"26156242",
"109528108",
"457167817",
"1902808318",
"7899987577",
"32725812958",
"135297527872",
"558357811048",
"2300564293942",
"9465003608548",
"38889193275142",
"159591154157092",
"654190748282074"
]
| [
"nonn",
"easy"
]
| 16 | 0 | 3 | [
"A000108",
"A028364",
"A362595",
"A362596",
"A362597"
]
| null | Lara Pudwell, Apr 27 2023 | 2024-01-11T09:16:10 | oeisdata/seq/A362/A362595.seq | 1d83168f101789df3928e0703e234dd8 |
A362596 | Number of parking functions of size n avoiding the patterns 213 and 321. | [
"1",
"1",
"3",
"13",
"60",
"275",
"1238",
"5480",
"23922",
"103267",
"441798",
"1876366",
"7921488",
"33275758",
"139194812",
"580180598",
"2410827422",
"9990993443",
"41308185542",
"170439003998",
"701953309592",
"2886284314298",
"11850433719572",
"48591008205608",
"199002198798980",
"814117064956430"
]
| [
"nonn",
"easy"
]
| 20 | 0 | 3 | [
"A000108",
"A028364",
"A028365",
"A362596",
"A362597"
]
| null | Lara Pudwell, Apr 27 2023 | 2024-01-11T09:10:04 | oeisdata/seq/A362/A362596.seq | d8d519f847cfc22c42fd8375913d6c62 |
A362597 | Number of parking functions of size n avoiding the patterns 213 and 312. | [
"1",
"1",
"3",
"12",
"54",
"259",
"1293",
"6634",
"34716",
"184389",
"990711",
"5372088",
"29347794",
"161317671",
"891313569",
"4946324886",
"27552980088",
"153982124809",
"862997075691",
"4848839608228",
"27304369787694",
"154059320699211",
"870796075968693",
"4929937918315522",
"27950989413184404"
]
| [
"nonn",
"easy"
]
| 16 | 0 | 3 | [
"A028365",
"A362596",
"A362597"
]
| null | Lara Pudwell, Apr 27 2023 | 2024-01-11T09:12:56 | oeisdata/seq/A362/A362597.seq | a4cea37eb3ccfeda0e10f21fc0cc4648 |
A362598 | a(n) is the number of 0's minus the number of 1's among the first n terms of A362240. | [
"0",
"1",
"0",
"1",
"2",
"1",
"0",
"1",
"2",
"3",
"2",
"3",
"2",
"1",
"0",
"-1",
"0",
"1",
"2",
"3",
"2",
"3",
"2",
"3",
"2",
"1",
"2",
"1",
"2",
"3",
"4",
"5",
"6",
"7",
"8",
"9",
"8",
"7",
"8",
"9",
"8",
"9",
"10",
"11",
"12",
"11",
"10",
"9",
"10",
"9",
"8",
"7",
"8",
"7",
"6",
"5",
"4",
"3",
"4",
"5",
"6",
"5",
"6",
"7",
"8",
"9",
"8",
"9",
"10",
"9",
"10",
"11",
"10",
"9",
"10",
"9",
"10",
"11",
"10",
"9",
"8",
"7"
]
| [
"sign"
]
| 10 | 0 | 5 | [
"A362240",
"A362598"
]
| null | Rémy Sigrist, Apr 27 2023 | 2023-05-03T09:14:07 | oeisdata/seq/A362/A362598.seq | b1fde2e8fd9aa0af23bf367ad41b2d6b |
A362599 | The terms of the n-th row of A076478 first appear from position a(n) in A362240. | [
"1",
"2",
"3",
"1",
"2",
"5",
"7",
"3",
"1",
"4",
"2",
"10",
"5",
"12",
"16",
"7",
"8",
"3",
"1",
"9",
"4",
"11",
"6",
"2",
"20",
"10",
"5",
"24",
"13",
"12",
"28",
"16",
"7",
"33",
"38",
"8",
"3",
"43",
"26",
"1",
"19",
"9",
"4",
"23",
"44",
"11",
"15",
"6",
"37",
"2",
"25",
"20",
"22",
"10",
"5",
"36",
"24",
"46",
"13",
"45",
"12",
"53",
"28",
"31",
"16",
"32",
"58",
"7",
"33",
"42",
"38",
"64",
"18"
]
| [
"nonn"
]
| 11 | 0 | 2 | [
"A076478",
"A362240",
"A362599"
]
| null | Rémy Sigrist, Apr 27 2023 | 2023-05-03T09:14:11 | oeisdata/seq/A362/A362599.seq | 961df43cfffc3cadcba2d022dec7ac70 |
A362600 | a(1) = 1, a(2) = 6, a(3) = 10; for n > 3, a(n) is the smallest positive number that has not yet appeared that shares a factor with a(n-1) and a(n-2) and also contains as factors the smallest primes that are not factors of both a(n-1) and a(n-2). | [
"1",
"6",
"10",
"15",
"12",
"20",
"30",
"42",
"35",
"40",
"60",
"84",
"70",
"45",
"18",
"50",
"75",
"24",
"80",
"90",
"105",
"14",
"36",
"120",
"140",
"21",
"48",
"150",
"210",
"154",
"33",
"54",
"110",
"135",
"66",
"100",
"165",
"72",
"130",
"180",
"126",
"175",
"160",
"168",
"195",
"170",
"78",
"225",
"190",
"96",
"240",
"280",
"63",
"102",
"270",
"315",
"28",
"108",
"300",
"350",
"147",
"114",
"330",
"420",
"77",
"22"
]
| [
"nonn"
]
| 33 | 1 | 2 | [
"A053669",
"A064413",
"A337687",
"A351495",
"A360519",
"A361606",
"A362600",
"A362754"
]
| null | Scott R. Shannon, May 02 2023 | 2023-05-12T05:47:13 | oeisdata/seq/A362/A362600.seq | 8f107e2ef5610b0cb665cee4f13c3b8e |
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