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| sequence_name
stringlengths 4
573
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listlengths 1
348
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listlengths 1
8
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2.35k
| offset_a
int64 -14,827
666,262,453B
| offset_b
int64 0
635M
⌀ | cross_references
listlengths 1
128
⌀ | former_ids
listlengths 1
3
⌀ | author
stringlengths 7
231
⌀ | timestamp
timestamp[us]date 1999-12-11 03:00:00
2025-07-14 02:38:35
| filename
stringlengths 29
29
| hash
stringlengths 32
32
|
|---|---|---|---|---|---|---|---|---|---|---|---|---|
A362101 | Numbers k such that 9^k starts with k. | [
"5",
"69",
"789",
"2004",
"1212215",
"1766831",
"437882194",
"5217071661"
]
| [
"nonn",
"base",
"more",
"changed"
]
| 6 | 1 | 1 | [
"A100129",
"A320930",
"A362096",
"A362097",
"A362101"
]
| null | N. J. A. Sloane, Apr 10 2023, based on an email from Keith F. Lynch | 2025-07-09T05:01:18 | oeisdata/seq/A362/A362101.seq | 63c755746303830b0a0246ab2d308762 |
A362102 | Erroneous version of A000260. | [
"1",
"1",
"13",
"68",
"399",
"2530",
"16965",
"118668",
"857956",
"6369883",
"48336171"
]
| [
"dead"
]
| 3 | 0 | 3 | null | null | null | 2023-04-12T10:20:50 | oeisdata/seq/A362/A362102.seq | b96f115755cb8e141ec6a43985cb0e98 |
A362103 | a(n) = K(4,n), where K(M,n) = 2*(2*M+3)!*(4*n+2*M+1)!/((M+2)!*M!*n!*(3*n+2*M+3)!). | [
"42",
"330",
"2310",
"16170",
"115500",
"844074",
"6301680",
"47948670",
"370952010",
"2911858950",
"23150207388",
"186127769100",
"1511405695800",
"12382019142570",
"102244420000800",
"850316530400304",
"7117336900424520",
"59922942071869800",
"507204902536897950"
]
| [
"nonn"
]
| 5 | 0 | 1 | [
"A000260",
"A197271",
"A341853",
"A341854",
"A362103",
"A362104"
]
| null | N. J. A. Sloane, Apr 13 2023 | 2023-04-13T00:20:50 | oeisdata/seq/A362/A362103.seq | 5d50d574790b6d460d50ca96299288fe |
A362104 | a(n) = K(5,n), where K(M,n) = 2*(2*M+3)!*(4*n+2*M+1)!/((M+2)!*M!*n!*(3*n+2*M+3)!). | [
"132",
"1287",
"10296",
"78936",
"602316",
"4628052",
"35939904",
"282285432",
"2241753228",
"17986968714",
"145691385840",
"1190292863760",
"9801223583580",
"81284313900636",
"678513446252928",
"5697583720939968",
"48104529963993360",
"408179183470170255",
"3479470856108521560"
]
| [
"nonn"
]
| 7 | 0 | 1 | [
"A000260",
"A197271",
"A341853",
"A341854",
"A362103",
"A362104"
]
| null | N. J. A. Sloane, Apr 13 2023 | 2023-04-13T00:23:06 | oeisdata/seq/A362/A362104.seq | 91c9d9f048c8fe7ae4d717b993b8ab1a |
A362105 | Numbers that take a record number of steps to appear in the Sisyphus sequence A350877. | [
"1",
"2",
"5",
"13",
"25",
"27",
"36",
"97",
"115"
]
| [
"nonn",
"more"
]
| 14 | 1 | 2 | [
"A350620",
"A350877",
"A362105",
"A362106"
]
| null | N. J. A. Sloane, Apr 12 2023, based on a suggestion from Siobhan Roberts | 2023-04-13T11:41:12 | oeisdata/seq/A362/A362105.seq | 6ef684a16deefb2af0918495dfc5257f |
A362106 | Index where A362105(n) first appears in the Sisyphus sequence A350877. | [
"1",
"7",
"71",
"345",
"1154",
"161336",
"77534485877",
"17282073747557",
"45274461582754"
]
| [
"nonn",
"more"
]
| 11 | 1 | 2 | [
"A350620",
"A350877",
"A362105",
"A362106"
]
| null | N. J. A. Sloane, Apr 12 2023, based on a suggestion from Siobhan Roberts | 2023-04-13T01:55:12 | oeisdata/seq/A362/A362106.seq | 6ee293a30cccbfd29e89c4c9ede3f4df |
A362107 | Exponents of powers of 2 in Sisyphus sequence A350877 that start a maximal chain of powers of 2 ending at a 1. | [
"0",
"3",
"3",
"4",
"11",
"32"
]
| [
"nonn",
"more"
]
| 6 | 1 | 2 | [
"A350615",
"A350877",
"A362107",
"A362108"
]
| null | N. J. A. Sloane, Apr 13 2023 | 2023-04-14T07:34:09 | oeisdata/seq/A362/A362107.seq | 6b7f1d5539f279102e96b41589957d55 |
A362108 | Index of 2^k in A350877, where k = A362107(n). | [
"1",
"5",
"9",
"16",
"731",
"513152096"
]
| [
"nonn",
"more"
]
| 4 | 1 | 2 | [
"A350615",
"A350877",
"A362107",
"A362108"
]
| null | N. J. A. Sloane, Apr 13 2023 | 2023-04-14T07:34:34 | oeisdata/seq/A362/A362108.seq | 9b5f3edf8d29440b552d7f1b3f928c42 |
A362109 | Arises from the enumeration of cycle-alternating permutations. | [
"1",
"1",
"2",
"5",
"17",
"78",
"461",
"3417",
"31134",
"340217",
"4365673",
"64840274",
"1101675849",
"21181863649",
"456577039642",
"10949181225821",
"290211071487473",
"8451563567148662",
"268994949663621813",
"9313237898346027545",
"349298002471856701110",
"14138014197758841573105"
]
| [
"nonn",
"changed"
]
| 11 | 0 | 3 | null | null | N. J. A. Sloane, Apr 14 2023 | 2025-07-12T08:31:22 | oeisdata/seq/A362/A362109.seq | 8380dff1765741cceb137db8df5732a5 |
A362110 | a(n) is the smallest integer k such that n can be expressed as the arithmetic mean of k distinct nonzero squares, or 0 if no such k exists. | [
"1",
"0",
"0",
"1",
"2",
"0",
"3",
"0",
"1",
"2",
"5",
"0",
"2",
"3",
"3",
"1",
"2",
"3",
"5",
"2",
"4",
"3",
"3",
"5",
"1",
"2",
"3",
"3",
"2",
"3",
"3",
"5",
"5",
"2",
"3",
"1",
"2",
"3",
"3",
"2",
"2",
"3",
"3",
"5",
"2",
"3",
"3",
"5",
"1",
"2",
"3",
"2",
"2",
"3",
"3",
"3",
"3",
"2",
"4",
"3",
"2",
"3",
"3",
"1",
"2",
"3",
"3",
"2",
"4",
"3",
"3",
"3",
"2",
"2",
"3",
"5",
"4",
"3",
"3",
"2",
"1",
"2",
"3",
"4",
"2",
"3",
"3",
"3",
"2",
"2",
"3",
"3",
"4",
"3",
"3",
"5",
"2",
"3",
"3"
]
| [
"nonn"
]
| 30 | 1 | 5 | [
"A001422",
"A033461",
"A129210",
"A132777",
"A248509",
"A360530",
"A362110"
]
| null | Yifan Xie, Apr 16 2023 | 2023-04-27T09:09:07 | oeisdata/seq/A362/A362110.seq | 05e1653abc61a812ee93e9e9a384f4a3 |
A362111 | Related to shifted Genocchi medians. | [
"1",
"1",
"5",
"41",
"493",
"8161",
"178469",
"4998905",
"174914077",
"7487810257",
"385307632469",
"23477954308841",
"1672313866643917",
"137703723643494721",
"12981787835378567045",
"1389285520249200892889",
"167515121086596348291709",
"22605814306270350503723185",
"3393854148421455726168715445"
]
| [
"nonn",
"changed"
]
| 11 | 0 | 3 | [
"A005439",
"A362111"
]
| null | N. J. A. Sloane, Apr 14 2023 | 2025-07-09T10:04:16 | oeisdata/seq/A362/A362111.seq | a2354592a33e835309e799ba30efa2c0 |
A362112 | a(0)=1; thereafter a(n) = 2*A110501(n+1) - A005439(n). | [
"1",
"1",
"4",
"26",
"254",
"3538",
"67014",
"1660866",
"52230550",
"2033261906",
"96018823814",
"5409008246626",
"358368831222006",
"27589872391918194",
"2442595357421865574",
"246430234111929035906",
"28106918525950072081622",
"3598669462582938225587602",
"513978991104098010878849094"
]
| [
"nonn"
]
| 11 | 0 | 3 | [
"A005439",
"A110501",
"A362112"
]
| null | N. J. A. Sloane, Apr 14 2023 | 2023-04-14T13:06:46 | oeisdata/seq/A362/A362112.seq | 222017e892702a8c694139a78202c8df |
A362113 | Truncate Stirling's asymptotic series for 1! after n terms and round to the nearest integer. | [
"1",
"1",
"1",
"1",
"1",
"1",
"1",
"1",
"1",
"1",
"1",
"1",
"1",
"1",
"1",
"1",
"1",
"1",
"1",
"0",
"0",
"12",
"13",
"-131",
"-144",
"1878",
"2047",
"-31243",
"-34023",
"603493",
"656720",
"-13392786",
"-14565501",
"338472513",
"367934625",
"-9665776360",
"-10502979551",
"309738982467",
"336455915833",
"-11068897604205",
"-12020303454921",
"438669580592210"
]
| [
"sign"
]
| 17 | 0 | 22 | [
"A001163",
"A001164",
"A362113",
"A362114",
"A362116"
]
| null | N. J. A. Sloane, Apr 15 2023 | 2023-04-15T14:27:48 | oeisdata/seq/A362/A362113.seq | 66b820c71e59b06c5c37565d49fdb3b4 |
A362114 | Truncate Stirling's asymptotic series for 2! after n terms and round to the nearest integer. | [
"2",
"2",
"2",
"2",
"2",
"2",
"2",
"2",
"2",
"2",
"2",
"2",
"2",
"2",
"2",
"2",
"2",
"2",
"2",
"2",
"2",
"2",
"2",
"2",
"2",
"2",
"2",
"2",
"2",
"2",
"2",
"2",
"2",
"2",
"2",
"1",
"1",
"6",
"6",
"-37",
"-38",
"388",
"406",
"-4245",
"-4439",
"51286",
"53609",
"-676862",
"-707319",
"9728466",
"10163563",
"-151746398",
"-158496540",
"2560628713",
"2673985990",
"-46607156242",
"-48661551041",
"912537268911"
]
| [
"sign",
"changed"
]
| 9 | 0 | 1 | [
"A001163",
"A001164",
"A362113",
"A362114",
"A362116"
]
| null | N. J. A. Sloane, Apr 15 2023 | 2025-07-09T05:01:24 | oeisdata/seq/A362/A362114.seq | db19ae697ee2e75c896896c85835634a |
A362115 | Truncate Stirling's asymptotic series for 3! after n terms and round to the nearest integer. | [
"6",
"6",
"6",
"6",
"6",
"6",
"6",
"6",
"6",
"6",
"6",
"6",
"6",
"6",
"6",
"6",
"6",
"6",
"6",
"6",
"6",
"6",
"6",
"6",
"6",
"6",
"6",
"6",
"6",
"6",
"6",
"6",
"6",
"6",
"6",
"6",
"6",
"6",
"6",
"6",
"6",
"6",
"6",
"6",
"6",
"6",
"6",
"6",
"6",
"6",
"6",
"6",
"6",
"9",
"9",
"-21",
"-22",
"246",
"253",
"-2243",
"-2313",
"22563",
"23254",
"-241529",
"-248887",
"2755875",
"2839370",
"-33440529",
"-34448635",
"430760619"
]
| [
"sign",
"changed"
]
| 13 | 0 | 1 | [
"A001163",
"A001164",
"A362113",
"A362115",
"A362116"
]
| null | N. J. A. Sloane, Apr 15 2023 | 2025-07-09T05:01:30 | oeisdata/seq/A362/A362115.seq | 641db6e817ad64b1e6ea9c07e126eb45 |
A362116 | Truncate Stirling's asymptotic series for 4! after n terms and round to the nearest integer. | [
"24",
"24",
"24",
"24",
"24",
"24",
"24",
"24",
"24",
"24",
"24",
"24",
"24",
"24",
"24",
"24",
"24",
"24",
"24",
"24",
"24",
"24",
"24",
"24",
"24",
"24",
"24",
"24",
"24",
"24",
"24",
"24",
"24",
"24",
"24",
"24",
"24",
"24",
"24",
"24",
"24",
"24",
"24",
"24",
"24",
"24",
"24",
"24",
"24",
"24",
"24",
"24",
"24",
"24",
"24",
"24",
"24",
"24",
"24",
"24",
"24",
"24",
"24",
"24",
"24",
"24",
"24",
"23",
"23",
"28",
"28",
"-6",
"-7",
"271",
"276",
"-2098",
"-2148",
"19280",
"19727",
"-184017",
"-188262",
"1850289",
"1892769",
"-19543114",
"-19989790",
"216612777",
"221542994"
]
| [
"sign"
]
| 9 | 0 | 1 | [
"A001163",
"A001164",
"A362113",
"A362115",
"A362116"
]
| null | N. J. A. Sloane, Apr 15 2023 | 2023-04-15T14:11:37 | oeisdata/seq/A362/A362116.seq | 19bec3770cc5126f5639fa3c478afa9b |
A362117 | Concatenation of first n numbers in base 5. | [
"1",
"12",
"123",
"1234",
"123410",
"12341011",
"1234101112",
"123410111213",
"12341011121314",
"1234101112131420",
"123410111213142021",
"12341011121314202122",
"1234101112131420212223",
"123410111213142021222324",
"12341011121314202122232430",
"1234101112131420212223243031"
]
| [
"nonn",
"base"
]
| 17 | 1 | 2 | [
"A007908",
"A058935",
"A117640",
"A360502",
"A362117",
"A362118"
]
| null | Michael S. Branicky and N. J. A. Sloane, Apr 19 2023 | 2023-11-27T14:46:51 | oeisdata/seq/A362/A362117.seq | 5e8c9734622578152a5fcfeaedbb3171 |
A362118 | a(n) = (10^(n*(n+1)/2)-1)/9. | [
"1",
"111",
"111111",
"1111111111",
"111111111111111",
"111111111111111111111",
"1111111111111111111111111111",
"111111111111111111111111111111111111",
"111111111111111111111111111111111111111111111",
"1111111111111111111111111111111111111111111111111111111",
"111111111111111111111111111111111111111111111111111111111111111111"
]
| [
"nonn"
]
| 30 | 1 | 2 | [
"A000042",
"A004023",
"A007908",
"A058935",
"A117640",
"A360502",
"A362118"
]
| null | Michael S. Branicky and N. J. A. Sloane, Apr 19 2023 | 2025-04-18T21:26:21 | oeisdata/seq/A362/A362118.seq | 855c5dc8f1ca006ed14c04224b9ca896 |
A362119 | Concatenate the base-6 strings for 1,2,...,n. | [
"1",
"12",
"123",
"1234",
"12345",
"1234510",
"123451011",
"12345101112",
"1234510111213",
"123451011121314",
"12345101112131415",
"1234510111213141520",
"123451011121314152021",
"12345101112131415202122",
"1234510111213141520212223",
"123451011121314152021222324",
"12345101112131415202122232425"
]
| [
"nonn",
"base"
]
| 26 | 1 | 2 | [
"A007908",
"A058935",
"A117640",
"A360502",
"A362117",
"A362118",
"A362119"
]
| null | Michael S. Branicky and N. J. A. Sloane, Apr 19 2023 | 2023-11-27T14:47:03 | oeisdata/seq/A362/A362119.seq | b690485bf0ccaab0c4c802ca67b93db6 |
A362120 | a(n) is the smallest positive number whose American English name has the letter "e" in the n-th position. | [
"8",
"7",
"1",
"3",
"3",
"12",
"13",
"17",
"21",
"23",
"23",
"73",
"101",
"103",
"103",
"112",
"113",
"117",
"121",
"123",
"123",
"173",
"323",
"373",
"1103",
"1103",
"1112",
"1113",
"1117",
"1121",
"1123",
"1123",
"1173",
"1323",
"1373",
"3323",
"3373",
"11373",
"13323",
"13373",
"17373",
"23323",
"23373",
"73373",
"101373",
"103323",
"103373",
"111373"
]
| [
"nonn",
"word",
"changed"
]
| 13 | 1 | 1 | [
"A164790",
"A362120",
"A362121",
"A362122"
]
| null | N. J. A. Sloane, Apr 20 2023 | 2025-07-09T05:01:37 | oeisdata/seq/A362/A362120.seq | 584dd67f9df4a34b5d9b33fab7db3c05 |
A362121 | a(n) is the smallest nonnegative number whose British English name has the letter "e" in the n-th position. | [
"8",
"0",
"1",
"3",
"3",
"12",
"13",
"17",
"21",
"23",
"23",
"73",
"1700",
"108",
"107",
"101",
"103",
"103",
"112",
"113",
"117",
"121",
"123",
"123",
"173",
"323",
"373",
"1103",
"1103",
"1112",
"1113",
"1117",
"1121",
"1123",
"1123",
"1173",
"1323",
"1373",
"3323",
"3373",
"11373",
"13323",
"13373",
"17373",
"23323",
"23373",
"73373",
"101123",
"101173"
]
| [
"nonn",
"word"
]
| 11 | 1 | 1 | [
"A164790",
"A362120",
"A362121",
"A362122"
]
| null | N. J. A. Sloane, Apr 20 2023 | 2023-04-21T11:37:54 | oeisdata/seq/A362/A362121.seq | 14eece2239b725212e6e4debe427f2ef |
A362122 | a(n) is the smallest positive number whose British English name has the letter "e" in the n-th position. | [
"8",
"7",
"1",
"3",
"3",
"12",
"13",
"17",
"21",
"23",
"23",
"73",
"1700",
"108",
"107",
"101",
"103",
"103",
"112",
"113",
"117",
"121",
"123",
"123",
"173",
"323",
"373",
"1103",
"1103",
"1112",
"1113",
"1117",
"1121",
"1123",
"1123",
"1173",
"1323",
"1373",
"3323",
"3373",
"11373",
"13323",
"13373",
"17373",
"23323",
"23373",
"73373",
"101123",
"101173",
"101323"
]
| [
"nonn",
"word"
]
| 13 | 1 | 1 | [
"A164790",
"A362120",
"A362121",
"A362122"
]
| null | N. J. A. Sloane, Apr 20 2023 | 2023-04-21T13:00:48 | oeisdata/seq/A362/A362122.seq | 58832478c5f40ce8c847f3d4fb482b93 |
A362123 | Number of letters in the British English name of n, excluding spaces and hyphens. | [
"4",
"3",
"3",
"5",
"4",
"4",
"3",
"5",
"5",
"4",
"3",
"6",
"6",
"8",
"8",
"7",
"7",
"9",
"8",
"8",
"6",
"9",
"9",
"11",
"10",
"10",
"9",
"11",
"11",
"10",
"6",
"9",
"9",
"11",
"10",
"10",
"9",
"11",
"11",
"10",
"5",
"8",
"8",
"10",
"9",
"9",
"8",
"10",
"10",
"9",
"5",
"8",
"8",
"10",
"9",
"9",
"8",
"10",
"10",
"9",
"5",
"8",
"8",
"10",
"9",
"9",
"8",
"10",
"10",
"9",
"7",
"10",
"10",
"12",
"11",
"11",
"10",
"12",
"12",
"11",
"6",
"9",
"9",
"11",
"10",
"10",
"9",
"11",
"11",
"10",
"6",
"9",
"9",
"11",
"10",
"10",
"9",
"11",
"11",
"10",
"10",
"16",
"16",
"18",
"17",
"17",
"16",
"18",
"18",
"17",
"16",
"19",
"19",
"21",
"21",
"20",
"20",
"22",
"21",
"21",
"19"
]
| [
"nonn",
"word"
]
| 17 | 0 | 1 | [
"A005589",
"A362123"
]
| null | N. J. A. Sloane, Apr 20 2023 | 2023-11-15T13:13:49 | oeisdata/seq/A362/A362123.seq | 7545017514541ef973d0f3e04c580b8f |
A362124 | List of numbers in British English with a doubled letter. Each letter can only be used once. | [
"3",
"8000",
"1000000",
"1000900",
"2000000000000000000000000000000000000000000000000",
"100000000000000000000000000000000000000000000000000000000000000"
]
| [
"nonn",
"word",
"fini",
"full"
]
| 18 | 1 | 1 | null | null | N. J. A. Sloane, Apr 20 2023 | 2023-04-22T10:27:56 | oeisdata/seq/A362/A362124.seq | db008579d38c521b2881ffc6471ead9d |
A362125 | Square array T(n,k), n>=0, k>=0, read by antidiagonals downwards, where column k is the expansion of 1/(1 - x*(1+x)^k)^k. | [
"1",
"1",
"0",
"1",
"1",
"0",
"1",
"2",
"2",
"0",
"1",
"3",
"7",
"3",
"0",
"1",
"4",
"15",
"18",
"5",
"0",
"1",
"5",
"26",
"55",
"47",
"8",
"0",
"1",
"6",
"40",
"124",
"198",
"118",
"13",
"0",
"1",
"7",
"57",
"235",
"571",
"681",
"290",
"21",
"0",
"1",
"8",
"77",
"398",
"1320",
"2500",
"2263",
"702",
"34",
"0",
"1",
"9",
"100",
"623",
"2640",
"7026",
"10504",
"7341",
"1677",
"55",
"0"
]
| [
"nonn",
"tabl"
]
| 16 | 0 | 8 | [
"A000007",
"A000045",
"A362078",
"A362079",
"A362080",
"A362125",
"A362126",
"A382614"
]
| null | Seiichi Manyama, Apr 08 2023 | 2025-04-01T12:10:02 | oeisdata/seq/A362/A362125.seq | 1aa7f331b9f9df997206e8c141425469 |
A362126 | Expansion of 1/(1 - x*(1+x)^2)^2. | [
"1",
"2",
"7",
"18",
"47",
"118",
"290",
"702",
"1677",
"3966",
"9300",
"21654",
"50116",
"115388",
"264475",
"603792",
"1373621",
"3115222",
"7045205",
"15892794",
"35769390",
"80337144",
"180091131",
"403002108",
"900370600",
"2008572044",
"4474586920",
"9955434456",
"22123162421",
"49107537598",
"108891513251"
]
| [
"nonn",
"easy"
]
| 10 | 0 | 2 | [
"A002478",
"A362084",
"A362125",
"A362126"
]
| null | Seiichi Manyama, Apr 08 2023 | 2023-04-09T08:07:57 | oeisdata/seq/A362/A362126.seq | b3649c691b84891fb6498ca3845c3d51 |
A362127 | Records in A360179. | [
"1",
"2",
"3",
"4",
"5",
"6",
"8",
"10",
"12",
"16",
"19",
"22",
"28",
"32",
"34",
"40",
"43",
"47",
"51",
"53",
"56",
"57",
"60",
"63",
"64",
"65",
"69",
"75",
"77",
"79",
"80",
"84",
"86",
"98",
"99",
"102",
"105",
"107",
"119",
"129",
"130",
"141",
"143",
"146",
"150",
"162",
"170",
"182",
"188",
"200",
"202",
"214",
"220",
"226",
"232",
"240",
"248",
"252",
"262",
"264",
"268",
"282",
"294",
"310",
"326",
"330",
"342",
"354",
"362"
]
| [
"nonn"
]
| 12 | 1 | 2 | [
"A000005",
"A360179",
"A362127",
"A362128"
]
| null | Michael De Vlieger, Apr 09 2023 | 2023-04-14T11:36:16 | oeisdata/seq/A362/A362127.seq | 4a50b5b6b84db56f044cb07b24727fd7 |
A362128 | Indices of records in A360179. | [
"1",
"3",
"5",
"7",
"9",
"12",
"15",
"21",
"25",
"29",
"52",
"69",
"87",
"100",
"138",
"176",
"233",
"252",
"265",
"338",
"371",
"384",
"400",
"447",
"459",
"492",
"515",
"594",
"606",
"677",
"779",
"794",
"850",
"896",
"1100",
"1144",
"1204",
"1225",
"1243",
"1584",
"1674",
"1700",
"2214",
"2239",
"2265",
"2338",
"2568",
"3014",
"3621",
"3652",
"4027",
"4058",
"4437",
"4464",
"4584",
"4625",
"5111",
"5201",
"5281"
]
| [
"nonn"
]
| 8 | 1 | 2 | [
"A000005",
"A360179",
"A362127",
"A362128"
]
| null | Michael De Vlieger, Apr 09 2023 | 2023-04-14T11:36:12 | oeisdata/seq/A362/A362128.seq | 265cf3b7d5ac179f099c5fdc079cbaa9 |
A362129 | a(n) = A360179(n) mod 2. | [
"1",
"1",
"0",
"0",
"1",
"0",
"0",
"1",
"1",
"0",
"0",
"0",
"0",
"0",
"0",
"0",
"1",
"0",
"1",
"1",
"0",
"0",
"1",
"0",
"0",
"0",
"0",
"0",
"0",
"1",
"1",
"1",
"1",
"1",
"1",
"1",
"0",
"0",
"0",
"1",
"1",
"0",
"0",
"0",
"1",
"1",
"1",
"0",
"0",
"1",
"1",
"1",
"0",
"1",
"1",
"1",
"1",
"0",
"0",
"1",
"0",
"0",
"1",
"0",
"0",
"0",
"0",
"0",
"0",
"0",
"0",
"1",
"1",
"1",
"0",
"0",
"0",
"1",
"1",
"0",
"0",
"0",
"0",
"0",
"0",
"0",
"0",
"0",
"0",
"0",
"0",
"0",
"0",
"0",
"0",
"0",
"0",
"0",
"0",
"0",
"0",
"0",
"0",
"0",
"0",
"0",
"0",
"0",
"1",
"1",
"1",
"1",
"0",
"0",
"1",
"1",
"1",
"1",
"0",
"1"
]
| [
"nonn"
]
| 8 | 1 | null | [
"A000005",
"A360179",
"A362129"
]
| null | Michael De Vlieger, Apr 09 2023 | 2023-04-14T11:36:09 | oeisdata/seq/A362/A362129.seq | 1512e4ff8f6b4da7fa5e8b9c55a90473 |
A362130 | a(n) = A000005(A360179(n)) mod 2. | [
"1",
"1",
"0",
"0",
"0",
"0",
"1",
"0",
"0",
"0",
"1",
"0",
"1",
"0",
"0",
"1",
"0",
"0",
"0",
"0",
"0",
"1",
"0",
"0",
"0",
"0",
"0",
"0",
"1",
"0",
"1",
"0",
"0",
"0",
"1",
"0",
"0",
"1",
"0",
"1",
"0",
"0",
"1",
"0",
"1",
"0",
"0",
"1",
"0",
"0",
"0",
"0",
"0",
"0",
"0",
"1",
"0",
"0",
"1",
"0",
"0",
"0",
"0",
"0",
"0",
"0",
"0",
"0",
"0",
"1",
"0",
"0",
"0",
"0",
"0",
"1",
"0",
"1",
"0",
"1",
"0",
"0",
"0",
"0",
"1",
"0",
"0",
"0",
"0",
"1",
"0",
"0",
"0",
"0",
"0",
"0",
"0",
"0",
"0",
"0",
"0",
"0",
"0",
"0",
"0",
"0",
"1",
"0",
"0",
"0",
"0",
"0",
"1",
"0",
"0",
"0",
"0",
"0",
"0",
"0"
]
| [
"nonn"
]
| 11 | 1 | null | [
"A000005",
"A360179",
"A362129",
"A362130"
]
| null | Michael De Vlieger, Apr 09 2023 | 2025-06-21T00:45:09 | oeisdata/seq/A362/A362130.seq | 339bb7f884d030489dffc2d2a30d3bee |
A362131 | a(n) = smallest missing number u in A360179(1..n). | [
"2",
"2",
"3",
"3",
"4",
"4",
"5",
"5",
"6",
"6",
"6",
"7",
"7",
"7",
"7",
"7",
"9",
"9",
"9",
"9",
"9",
"9",
"9",
"9",
"9",
"9",
"9",
"9",
"9",
"9",
"11",
"11",
"11",
"11",
"11",
"13",
"13",
"13",
"13",
"13",
"14",
"14",
"14",
"14",
"14",
"14",
"14",
"14",
"14",
"14",
"14",
"14",
"14",
"14",
"14",
"14",
"14",
"17",
"17",
"17",
"17",
"17",
"17",
"17",
"17",
"17",
"17",
"17",
"17",
"17",
"17",
"17",
"17",
"20",
"20",
"20",
"20",
"20",
"20",
"20",
"20",
"21",
"21"
]
| [
"nonn"
]
| 10 | 1 | 1 | [
"A000005",
"A360179",
"A362131",
"A362132"
]
| null | Michael De Vlieger, Apr 10 2023 | 2023-04-14T11:36:03 | oeisdata/seq/A362/A362131.seq | 2020beeb95e597fd2eaf611d89a440b0 |
A362132 | Records in A362131. | [
"2",
"3",
"4",
"5",
"6",
"7",
"9",
"11",
"13",
"14",
"17",
"20",
"21",
"23",
"29",
"35",
"37",
"38",
"44",
"46",
"50",
"94",
"100",
"120",
"121",
"124",
"125",
"136",
"139",
"140",
"142",
"144",
"148",
"178",
"185",
"186",
"187",
"189",
"193",
"195",
"197",
"201",
"203",
"209"
]
| [
"nonn",
"more"
]
| 9 | 1 | 1 | [
"A360179",
"A362131",
"A362132",
"A362133"
]
| null | Michael De Vlieger, Apr 10 2023 | 2023-04-14T11:35:58 | oeisdata/seq/A362/A362132.seq | 9ec5af14e0f9d02cc8b5bd29bc98b136 |
A362133 | Smallest indices k where A362131(k) = A362132(n). | [
"1",
"3",
"5",
"7",
"9",
"12",
"17",
"31",
"36",
"41",
"58",
"74",
"82",
"112",
"160",
"189",
"198",
"220",
"294",
"325",
"914",
"1267",
"1389",
"1872",
"1927",
"1957",
"2032",
"2155",
"2184",
"2302",
"2358",
"2835",
"3047",
"3672",
"3794",
"3832",
"3873",
"3924",
"4543",
"4785",
"35502",
"98365",
"1728198",
"8375015"
]
| [
"nonn",
"more"
]
| 4 | 1 | 2 | [
"A360179",
"A362131",
"A362132",
"A362133"
]
| null | Michael De Vlieger, Apr 10 2023 | 2023-04-13T14:07:58 | oeisdata/seq/A362/A362133.seq | cb5b0919220c7f86dbe18bc7fa97d439 |
A362134 | Novel terms in A360179, in order of appearance. | [
"1",
"2",
"3",
"4",
"5",
"6",
"8",
"7",
"10",
"12",
"16",
"9",
"11",
"13",
"15",
"19",
"14",
"18",
"22",
"17",
"20",
"28",
"24",
"32",
"26",
"21",
"31",
"25",
"34",
"27",
"33",
"23",
"30",
"40",
"36",
"29",
"35",
"39",
"37",
"43",
"42",
"47",
"51",
"45",
"41",
"38",
"49",
"44",
"53",
"48",
"52",
"56",
"57",
"60",
"55",
"59",
"63",
"64",
"61",
"65",
"69",
"67",
"54",
"66",
"58",
"75",
"77",
"71",
"72",
"70",
"79",
"73",
"62",
"78",
"68",
"76",
"80",
"84"
]
| [
"nonn"
]
| 14 | 1 | 2 | [
"A000005",
"A360179",
"A362127",
"A362134",
"A362135"
]
| null | Michael De Vlieger, Apr 10 2023 | 2025-03-26T08:32:17 | oeisdata/seq/A362/A362134.seq | 7ed008514e89a639f46fd59390242eae |
A362135 | Indices of novel terms in A360179. | [
"1",
"3",
"5",
"7",
"9",
"12",
"15",
"17",
"21",
"25",
"29",
"31",
"36",
"41",
"47",
"52",
"58",
"64",
"69",
"74",
"82",
"87",
"92",
"100",
"106",
"112",
"120",
"128",
"138",
"145",
"153",
"160",
"168",
"176",
"183",
"189",
"198",
"209",
"220",
"233",
"242",
"252",
"265",
"277",
"285",
"294",
"309",
"325",
"338",
"349",
"359",
"371",
"384",
"400",
"413",
"430",
"447",
"459",
"474",
"492",
"515",
"533",
"545",
"557",
"570",
"594"
]
| [
"nonn"
]
| 8 | 1 | 2 | [
"A360179",
"A362128",
"A362134",
"A362135"
]
| null | Michael De Vlieger, Apr 10 2023 | 2023-04-14T11:35:46 | oeisdata/seq/A362/A362135.seq | 00fcdda32037a69f000ebeef6968b34e |
A362136 | First differences of A362135. | [
"1",
"2",
"2",
"2",
"2",
"3",
"3",
"2",
"4",
"4",
"4",
"2",
"5",
"5",
"6",
"5",
"6",
"6",
"5",
"5",
"8",
"5",
"5",
"8",
"6",
"6",
"8",
"8",
"10",
"7",
"8",
"7",
"8",
"8",
"7",
"6",
"9",
"11",
"11",
"13",
"9",
"10",
"13",
"12",
"8",
"9",
"15",
"16",
"13",
"11",
"10",
"12",
"13",
"16",
"13",
"17",
"17",
"12",
"15",
"18",
"23",
"18",
"12",
"12",
"13",
"24",
"12",
"16",
"20",
"15",
"20",
"19",
"21",
"22",
"12",
"13",
"15",
"15",
"12",
"23",
"21",
"22",
"24",
"13",
"5",
"23"
]
| [
"nonn"
]
| 7 | 1 | 2 | [
"A360179",
"A362134",
"A362135",
"A362136"
]
| null | Michael De Vlieger, Apr 10 2023 | 2023-04-14T11:35:42 | oeisdata/seq/A362/A362136.seq | a8ed0817235ba6f0523ba286d3bafa01 |
A362137 | Smallest size of an n-paradoxical tournament built as a directed Paley graph. | [
"1",
"3",
"7",
"19",
"67",
"331",
"1163"
]
| [
"nonn",
"hard",
"more"
]
| 27 | 0 | 2 | null | null | Julien Rouyer, Jun 12 2023 | 2024-07-24T23:56:55 | oeisdata/seq/A362/A362137.seq | 42339357537bfb369f47ba96778067f5 |
A362138 | a(n) = gpf(a(n-1) + prime(n)) where gpf is the greatest prime factor and a(1)=2. | [
"2",
"5",
"5",
"3",
"7",
"5",
"11",
"5",
"7",
"3",
"17",
"3",
"11",
"3",
"5",
"29",
"11",
"3",
"7",
"13",
"43",
"61",
"3",
"23",
"5",
"53",
"13",
"5",
"19",
"11",
"23",
"11",
"37",
"11",
"5",
"13",
"17",
"5",
"43",
"3",
"13",
"97",
"3",
"7",
"17",
"3",
"107",
"11",
"17",
"41",
"137",
"47",
"3",
"127",
"3",
"19",
"3",
"137",
"23",
"19",
"151",
"37",
"43",
"59",
"31",
"29",
"5",
"19",
"61",
"41",
"197"
]
| [
"nonn"
]
| 56 | 1 | 1 | [
"A000040",
"A006530",
"A076560",
"A076561",
"A362138"
]
| null | Sebastian F. Orellana, Jun 12 2023 | 2023-06-18T02:21:31 | oeisdata/seq/A362/A362138.seq | 8bfd990bf3c17216250b9091967f08d7 |
A362139 | a(n) is the smallest number k with exactly n of its divisors in A037197. | [
"1",
"2",
"8",
"24",
"96",
"312",
"600",
"2100",
"1800",
"5400",
"4200",
"8400",
"12600",
"25200",
"16800",
"58800",
"50400",
"67200",
"93600",
"131040",
"201600",
"252000",
"218400",
"468000",
"882000",
"873600",
"1386000",
"1528800",
"2646000",
"655200",
"2217600",
"2772000",
"4233600",
"2620800",
"9374400",
"1965600",
"3276000"
]
| [
"nonn"
]
| 9 | 1 | 2 | [
"A000005",
"A000203",
"A037197",
"A062068",
"A362139"
]
| null | Marius A. Burtea, May 03 2023 | 2023-06-25T18:26:36 | oeisdata/seq/A362/A362139.seq | 3898d561c2533fb8ae2c6d8847806100 |
A362140 | Numbers k in A224486 for which the arithmetic derivative k' (A003415) is also in A224486. | [
"2",
"5",
"6",
"9",
"14",
"18",
"29",
"33",
"41",
"53",
"54",
"65",
"69",
"89",
"113",
"134",
"141",
"158",
"173",
"198",
"209",
"221",
"233",
"249",
"278",
"281",
"293",
"326",
"329",
"338",
"393",
"473",
"506",
"509",
"545",
"581",
"593",
"614",
"629",
"641",
"653",
"713",
"729",
"749",
"761",
"809",
"846",
"905",
"950",
"953",
"965",
"986",
"1013",
"1014",
"1026",
"1041",
"1049"
]
| [
"nonn"
]
| 11 | 1 | 1 | [
"A003415",
"A103579",
"A224486",
"A362140"
]
| null | Marius A. Burtea, May 03 2023 | 2023-07-04T09:29:14 | oeisdata/seq/A362/A362140.seq | ebf183b9b401ce4113b49659c332a176 |
A362141 | Nonprime numbers k whose arithmetic derivative k' (A003415) is a Fibonacci number (A000045). | [
"1",
"6",
"15",
"18",
"22",
"38",
"75",
"93",
"106",
"145",
"253",
"289",
"695",
"959",
"1467",
"1703",
"1820",
"1821",
"2159",
"3283",
"3485",
"3503",
"3959",
"4223",
"4343",
"4559",
"5063",
"5183",
"6482",
"6589",
"7202",
"10081",
"12895",
"13501",
"13526",
"16422",
"21040",
"21246",
"23329",
"26461",
"29521",
"45033",
"46369",
"51409",
"53821"
]
| [
"nonn"
]
| 18 | 1 | 2 | [
"A000045",
"A003415",
"A362141"
]
| null | Marius A. Burtea, May 03 2023 | 2023-07-05T08:23:55 | oeisdata/seq/A362/A362141.seq | 349d9be54d9eebff0d04e37953ebc267 |
A362142 | Triangle read by rows: T(n,k) is the maximum number of ways in which a set of integer-sided squares can tile an n X k rectangle, 0 <= k <= n. | [
"1",
"1",
"1",
"1",
"1",
"1",
"1",
"1",
"2",
"4",
"1",
"1",
"3",
"6",
"16",
"1",
"1",
"4",
"12",
"37",
"140",
"1",
"1",
"6",
"24",
"105",
"454",
"1987",
"1",
"1",
"10",
"40",
"250",
"1566",
"9856",
"62266",
"1",
"1",
"15",
"80",
"726",
"5670",
"47394",
"406168",
"3899340",
"1",
"1",
"21",
"160",
"1824",
"18738",
"223696",
"2916492",
"38322758",
"508317004"
]
| [
"nonn",
"tabl"
]
| 12 | 0 | 9 | [
"A000012",
"A073028",
"A219924",
"A224697",
"A361216",
"A362142",
"A362143",
"A362144",
"A362145",
"A362146"
]
| null | Pontus von Brömssen, Apr 10 2023 | 2023-04-11T11:54:16 | oeisdata/seq/A362/A362142.seq | 053981a9d71d00763e9e006428e88cd4 |
A362143 | Maximum number of ways in which a set of integer-sided squares can tile an n X n square. | [
"1",
"1",
"1",
"4",
"16",
"140",
"1987",
"62266",
"3899340",
"508317004",
"108388350636",
"44608244030240",
"39116330784279236"
]
| [
"nonn",
"more"
]
| 6 | 0 | 4 | [
"A034295",
"A045846",
"A361217",
"A362142",
"A362143"
]
| null | Pontus von Brömssen, Apr 10 2023 | 2023-04-11T08:41:50 | oeisdata/seq/A362/A362143.seq | fd17d548ffd571bd1148fb64d9b74b28 |
A362144 | Maximum number of ways in which a set of integer-sided squares can tile an n X 3 rectangle. | [
"1",
"1",
"2",
"4",
"6",
"12",
"24",
"40",
"80",
"160",
"280",
"560",
"1120",
"2240",
"4480",
"10080",
"20160",
"40320",
"88704",
"177408",
"354816",
"768768",
"1537536",
"3075072",
"6589440",
"13178880",
"26357760",
"56010240",
"112020480",
"224040960",
"504092160",
"1064194560",
"2128389120",
"4729753600",
"9932482560"
]
| [
"nonn"
]
| 13 | 0 | 3 | [
"A002478",
"A361219",
"A362142",
"A362144"
]
| null | Pontus von Brömssen, Apr 10 2023 | 2023-04-12T12:27:23 | oeisdata/seq/A362/A362144.seq | 06b87131fc8ee2b5909cfd66877f48b6 |
A362145 | Maximum number of ways in which a set of integer-sided squares can tile an n X 4 rectangle. | [
"1",
"1",
"3",
"6",
"16",
"37",
"105",
"250",
"726",
"1824",
"5148",
"13406",
"37150",
"99246",
"271533",
"739222",
"2003686",
"5534352",
"14894898",
"41614480",
"112569696",
"329633400",
"939351720",
"2713971172",
"7790778688",
"22262413872",
"64295778000",
"182043931368",
"528451813656",
"1484599951100",
"4328456538812"
]
| [
"nonn"
]
| 9 | 0 | 3 | [
"A054856",
"A361220",
"A362142",
"A362145"
]
| null | Pontus von Brömssen, Apr 10 2023 | 2023-04-11T11:54:08 | oeisdata/seq/A362/A362145.seq | 6388790c132bbdd607330b132287fba4 |
A362146 | Maximum number of ways in which a set of integer-sided squares can tile an n X 5 rectangle. | [
"1",
"1",
"4",
"12",
"37",
"140",
"454",
"1566",
"5670",
"18738",
"70800",
"263002",
"1065240",
"4146500",
"15269976",
"61593260",
"233206636",
"879932068",
"3442083056",
"12794936028",
"49150133908",
"188187379818",
"690417160564",
"2688772826468",
"10355819787218",
"42350139855568",
"167122149149460"
]
| [
"nonn"
]
| 9 | 0 | 3 | [
"A054857",
"A187753",
"A362142",
"A362146"
]
| null | Pontus von Brömssen, Apr 10 2023 | 2023-04-11T11:54:05 | oeisdata/seq/A362/A362146.seq | 1a0a08ca56c97c14666df92575b30513 |
A362147 | Numbers that are not cubefull. | [
"2",
"3",
"4",
"5",
"6",
"7",
"9",
"10",
"11",
"12",
"13",
"14",
"15",
"17",
"18",
"19",
"20",
"21",
"22",
"23",
"24",
"25",
"26",
"28",
"29",
"30",
"31",
"33",
"34",
"35",
"36",
"37",
"38",
"39",
"40",
"41",
"42",
"43",
"44",
"45",
"46",
"47",
"48",
"49",
"50",
"51",
"52",
"53",
"54",
"55",
"56",
"57",
"58",
"59",
"60",
"61",
"62",
"63",
"65",
"66",
"67",
"68",
"69",
"70",
"71",
"72",
"73",
"74",
"75",
"76",
"77",
"78",
"79",
"80",
"82",
"83",
"84"
]
| [
"nonn"
]
| 34 | 1 | 1 | [
"A004709",
"A036966",
"A046099",
"A362147",
"A362148"
]
| null | Bernard Schott, Apr 09 2023 | 2024-11-22T11:07:37 | oeisdata/seq/A362/A362147.seq | 0fcfbc9c1e2d192880b0d6449ef1fdcd |
A362148 | Numbers that are neither cubefree nor cubefull. | [
"24",
"40",
"48",
"54",
"56",
"72",
"80",
"88",
"96",
"104",
"108",
"112",
"120",
"135",
"136",
"144",
"152",
"160",
"162",
"168",
"176",
"184",
"189",
"192",
"200",
"208",
"224",
"232",
"240",
"248",
"250",
"264",
"270",
"272",
"280",
"288",
"296",
"297",
"304",
"312",
"320",
"324",
"328",
"336",
"344",
"351",
"352",
"360",
"368",
"375",
"376",
"378",
"384",
"392",
"400"
]
| [
"nonn",
"easy"
]
| 61 | 1 | 1 | [
"A004709",
"A036966",
"A046099",
"A360539",
"A360540",
"A362147",
"A362148"
]
| null | Bernard Schott, Apr 09 2023 | 2024-12-06T13:17:55 | oeisdata/seq/A362/A362148.seq | 85b705544b23a04706c1514bf3cabc3e |
A362149 | Decimal expansion of K, a constant arising in the analysis of the binary Euclidean algorithm. | [
"7",
"0",
"5",
"9",
"7",
"1",
"2",
"4",
"6",
"1",
"0",
"1",
"9",
"1",
"6",
"3",
"9",
"1",
"5",
"2",
"9",
"3",
"1",
"4",
"1",
"3",
"5",
"8",
"5",
"2",
"8",
"8",
"1",
"7",
"6",
"6",
"6",
"6",
"7",
"7"
]
| [
"nonn",
"cons",
"hard",
"more"
]
| 15 | 0 | 1 | [
"A118858",
"A345987",
"A362149",
"A362150"
]
| null | Paolo Xausa, Apr 09 2023 | 2023-05-13T13:55:07 | oeisdata/seq/A362/A362149.seq | 2249c4cedcdbc00c77a8c88451e568b2 |
A362150 | Decimal expansion of lambda, a constant arising in the analysis of the binary Euclidean algorithm. | [
"3",
"9",
"7",
"9",
"2",
"2",
"6",
"8",
"1",
"1",
"8",
"8",
"3",
"1",
"6",
"6",
"4",
"4",
"0",
"7",
"6",
"7",
"0",
"7",
"1",
"6",
"1",
"1",
"4",
"2",
"6",
"5",
"4",
"9",
"8",
"2",
"3",
"0",
"9",
"8"
]
| [
"nonn",
"cons",
"hard",
"more"
]
| 16 | 0 | 1 | [
"A118858",
"A345987",
"A362149",
"A362150"
]
| null | Paolo Xausa, Apr 09 2023 | 2023-05-13T13:55:19 | oeisdata/seq/A362/A362150.seq | e368c7dc229b572363cba3d06457550b |
A362151 | Decimal expansion of exp(zeta(2)/exp(gamma)) where gamma is the Euler-Mascheroni constant A001620. | [
"2",
"5",
"1",
"8",
"2",
"4",
"9",
"0",
"3",
"2",
"5",
"7",
"2",
"9",
"6",
"7",
"5",
"3",
"9",
"2",
"0",
"4",
"0",
"7",
"1",
"0",
"5",
"9",
"5",
"4",
"2",
"6",
"8",
"7",
"0",
"0",
"2",
"9",
"3",
"4",
"5",
"3",
"5",
"8",
"6",
"7",
"8",
"8",
"6",
"7",
"7",
"9",
"4",
"3",
"8",
"1",
"4",
"6",
"2",
"0",
"6",
"2",
"1",
"8",
"5",
"3",
"6",
"8",
"3",
"9",
"3",
"9",
"9",
"3",
"4",
"8",
"8",
"4",
"6",
"9",
"4",
"2",
"4",
"9",
"3",
"5",
"1",
"6",
"9",
"3",
"4",
"0",
"5",
"8",
"5",
"4",
"2",
"0",
"8",
"9",
"8",
"5",
"0",
"6",
"8",
"0",
"4",
"4",
"0",
"4",
"2",
"1",
"8",
"7",
"3"
]
| [
"cons",
"nonn"
]
| 20 | 1 | 1 | [
"A001620",
"A013661",
"A072997",
"A360895",
"A362151"
]
| null | Artur Jasinski, Apr 09 2023 | 2023-05-12T16:28:41 | oeisdata/seq/A362/A362151.seq | 8c7b91d28b9e1a159c4a824728251a16 |
A362152 | Numbers k such that k and k^2+1 have equal sums of distinct prime divisors. | [
"7",
"1384230",
"1437236",
"1770802",
"2090663",
"4406787",
"8493543",
"8691863",
"11576449",
"16147463",
"18216983",
"22128632",
"25156787",
"32929141",
"43106430",
"43768187",
"47500230",
"50085263",
"50497485",
"59461592",
"66419007",
"66507421",
"71182692",
"95268412",
"99848687",
"164163693"
]
| [
"nonn"
]
| 22 | 1 | 1 | [
"A006145",
"A008472",
"A362152"
]
| null | Max Alekseyev, Apr 18 2023 | 2023-04-25T23:07:47 | oeisdata/seq/A362/A362152.seq | 6483cbcb44ba9df4f4d654735d700f77 |
A362153 | Number of skew shapes in a 3 X n rectangle with no empty rows or columns. | [
"1",
"8",
"29",
"73",
"151",
"276",
"463",
"729",
"1093",
"1576",
"2201",
"2993",
"3979",
"5188",
"6651",
"8401",
"10473",
"12904",
"15733",
"19001",
"22751",
"27028",
"31879",
"37353",
"43501",
"50376",
"58033",
"66529",
"75923",
"86276",
"97651",
"110113",
"123729",
"138568",
"154701",
"172201",
"191143",
"211604",
"233663",
"257401",
"282901",
"310248",
"339529"
]
| [
"nonn",
"easy"
]
| 14 | 1 | 2 | null | null | Richard Stanley, Apr 09 2023 | 2023-04-11T13:26:00 | oeisdata/seq/A362/A362153.seq | e2660f71f0222a29afd8ad02b09c57b9 |
A362154 | Expansion of 1/(1 + x * sqrt(1-4*x)). | [
"1",
"-1",
"3",
"-3",
"11",
"-5",
"51",
"35",
"335",
"689",
"3055",
"9073",
"33891",
"114425",
"413623",
"1464661",
"5304803",
"19199859",
"70161499",
"257270227",
"948639463",
"3511150611",
"13047799395",
"48649126799",
"181968324231",
"682577156519",
"2567180111683",
"9678596662499",
"36571577629911"
]
| [
"sign",
"easy"
]
| 11 | 0 | 3 | [
"A000984",
"A039834",
"A362154",
"A362155",
"A362156",
"A362161"
]
| null | Seiichi Manyama, Apr 09 2023 | 2023-04-10T10:51:38 | oeisdata/seq/A362/A362154.seq | 864c8f8c470aa2d3e68072f3251811eb |
A362155 | Expansion of 1/(1 + x * (1-9*x)^(1/3)). | [
"1",
"-1",
"4",
"2",
"46",
"221",
"1627",
"11312",
"83704",
"631433",
"4868920",
"38137757",
"302694082",
"2428593929",
"19664122513",
"160464212831",
"1318266144163",
"10893680220326",
"90486907158265",
"755060334587576",
"6326283013232206",
"53199259567645709",
"448846559987031064"
]
| [
"sign",
"easy"
]
| 14 | 0 | 3 | [
"A004987",
"A039834",
"A362154",
"A362155",
"A362157",
"A362162"
]
| null | Seiichi Manyama, Apr 09 2023 | 2023-04-10T10:52:01 | oeisdata/seq/A362/A362155.seq | c32ccf103b784859e58577dd2b94d4cc |
A362156 | Expansion of -1/(1 - x * sqrt(1-4*x)). | [
"-1",
"-1",
"1",
"5",
"9",
"11",
"17",
"59",
"237",
"849",
"2861",
"9625",
"33057",
"115753",
"410581",
"1469325",
"5296449",
"19216691",
"70134489",
"257320475",
"948545125",
"3511308899",
"13047504065",
"48649662439",
"181967395749",
"682578873479",
"2567177040641",
"9678602093387",
"36571567691029"
]
| [
"sign",
"easy"
]
| 9 | 0 | 4 | [
"A000984",
"A362156",
"A362157"
]
| null | Seiichi Manyama, Apr 09 2023 | 2023-04-10T10:51:45 | oeisdata/seq/A362/A362156.seq | d882f8dd30ed6d352cc1489f2dcd87d4 |
A362157 | Expansion of -1/(1 - x * (1-9*x)^(1/3)). | [
"-1",
"-1",
"2",
"14",
"62",
"317",
"1967",
"13544",
"98012",
"731273",
"5581682",
"43377617",
"342035204",
"2729286017",
"21996002729",
"178769985791",
"1463465010995",
"12055667829734",
"99858109234379",
"831150925169516",
"6947819513136614",
"58303331305857293",
"490961900646977570"
]
| [
"sign",
"easy"
]
| 9 | 0 | 3 | [
"A004987",
"A362156",
"A362157"
]
| null | Seiichi Manyama, Apr 09 2023 | 2023-04-10T10:51:41 | oeisdata/seq/A362/A362157.seq | 71c512ec76adc1ea68cf51a8f50769e2 |
A362158 | Expansion of e.g.f. -exp(x * sqrt(1-4*x)). | [
"-1",
"-1",
"3",
"23",
"119",
"1119",
"19259",
"417143",
"10567983",
"309715199",
"10335277619",
"386840046999",
"16045111426343",
"730346987476703",
"36191354975508459",
"1939288175212058999",
"111724538084900577119",
"6886112439566787983103",
"452112545350650426838883"
]
| [
"sign",
"easy"
]
| 8 | 0 | 3 | [
"A362156",
"A362158"
]
| null | Seiichi Manyama, Apr 10 2023 | 2023-04-10T10:51:53 | oeisdata/seq/A362/A362158.seq | 49acdc3098ee16fb27ff55cdb4fcf366 |
A362159 | Expansion of e.g.f. -exp(x * (1-9*x)^(1/3)). | [
"-1",
"-1",
"5",
"71",
"1223",
"34619",
"1350629",
"65717315",
"3812715311",
"256504939703",
"19615931258309",
"1679703910478879",
"159161100818585975",
"16530378160682622131",
"1867052905777649782373",
"227820142193907368696219",
"29863924388750996422840799",
"4185177460305652712999777135"
]
| [
"sign",
"easy"
]
| 10 | 0 | 3 | [
"A362157",
"A362159"
]
| null | Seiichi Manyama, Apr 10 2023 | 2023-04-11T10:56:39 | oeisdata/seq/A362/A362159.seq | 65539f37882c046e5092d35590e67f10 |
A362160 | Irregular triangle read by rows: The n-th row contains 2^n integers corresponding to the words of the n-bit Gray code with the most significant bits changing fastest. | [
"0",
"0",
"1",
"0",
"2",
"3",
"1",
"0",
"4",
"6",
"2",
"3",
"7",
"5",
"1",
"0",
"8",
"12",
"4",
"6",
"14",
"10",
"2",
"3",
"11",
"15",
"7",
"5",
"13",
"9",
"1",
"0",
"16",
"24",
"8",
"12",
"28",
"20",
"4",
"6",
"22",
"30",
"14",
"10",
"26",
"18",
"2",
"3",
"19",
"27",
"11",
"15",
"31",
"23",
"7",
"5",
"21",
"29",
"13",
"9",
"25",
"17",
"1",
"0",
"32",
"48",
"16",
"24",
"56",
"40",
"8",
"12",
"44",
"60",
"28"
]
| [
"nonn",
"easy",
"tabf",
"base"
]
| 96 | 0 | 5 | [
"A000004",
"A000079",
"A000120",
"A003188",
"A005811",
"A006516",
"A057427",
"A088208",
"A362160",
"A363674"
]
| null | Valentin Bakoev, Apr 10 2023 | 2024-12-07T19:16:18 | oeisdata/seq/A362/A362160.seq | 4d3dae655dd22ab9a35b9d60e03a9cc7 |
A362161 | Expansion of e.g.f. exp(-x * sqrt(1-4*x)). | [
"1",
"-1",
"5",
"-1",
"121",
"1039",
"20221",
"416975",
"10573361",
"309650399",
"10335294901",
"386839539679",
"16045117551145",
"730346985279599",
"36191355037097261",
"1939288174467052079",
"111724538085236200801",
"6886112439557645126335",
"452112545350761238085221"
]
| [
"sign",
"easy"
]
| 11 | 0 | 3 | [
"A362158",
"A362161"
]
| null | Seiichi Manyama, Apr 10 2023 | 2023-04-10T10:51:57 | oeisdata/seq/A362/A362161.seq | a81f97bba52853d040bda4f5c1fc895b |
A362162 | Expansion of e.g.f. exp(-x * (1-9*x)^(1/3)). | [
"1",
"-1",
"7",
"35",
"1009",
"30179",
"1215631",
"60016823",
"3515979265",
"238183128071",
"18310183815511",
"1574357806379819",
"149678991229092337",
"15588994684997694635",
"1764907186597557771679",
"215797860684193053430079",
"28338759496501422888009601",
"3977749154644186102350453263"
]
| [
"sign",
"easy"
]
| 11 | 0 | 3 | [
"A362159",
"A362162"
]
| null | Seiichi Manyama, Apr 10 2023 | 2023-04-10T10:51:32 | oeisdata/seq/A362/A362162.seq | 2c127ff0e665345852d295dfb22c84d2 |
A362163 | Expansion of e.g.f. -exp(x * sqrt(1-2*x)). | [
"-1",
"-1",
"1",
"8",
"23",
"64",
"479",
"6026",
"80863",
"1194488",
"19951919",
"374005774",
"7768598111",
"177019006748",
"4389955280983",
"117700126685714",
"3392361648663359",
"104592876994535056",
"3434908279968850463",
"119702402510430502358",
"4411764405014665620799"
]
| [
"sign",
"easy"
]
| 8 | 0 | 4 | [
"A362158",
"A362163",
"A362176"
]
| null | Seiichi Manyama, Apr 10 2023 | 2023-04-10T10:52:38 | oeisdata/seq/A362/A362163.seq | cd81677c7cac52b55d7453198933764f |
A362164 | Expansion of e.g.f. -exp(x * (1-3*x)^(1/3)). | [
"-1",
"-1",
"1",
"11",
"63",
"499",
"6089",
"97551",
"1875551",
"41846183",
"1062206289",
"30214274419",
"951599063711",
"32864817109851",
"1234766859596633",
"50132215859126519",
"2187063341006059839",
"102022039514031274831",
"5067161180856909388961",
"266960634868753685833563"
]
| [
"sign",
"easy"
]
| 13 | 0 | 4 | [
"A362159",
"A362164",
"A362177"
]
| null | Seiichi Manyama, Apr 10 2023 | 2025-03-18T21:22:32 | oeisdata/seq/A362/A362164.seq | 1b9c9c2c4b3814a594186d04c78be4f3 |
A362165 | Expansion of e.g.f. exp(-x * sqrt(1-2*x)). | [
"1",
"-1",
"3",
"-4",
"25",
"24",
"721",
"5942",
"82209",
"1186280",
"19956241",
"373942194",
"7768988833",
"177018731876",
"4389959146665",
"117700102748654",
"3392361669670081",
"104592876707106672",
"3434908281762030049",
"119702402508549928490",
"4411764405039931048641"
]
| [
"sign"
]
| 11 | 0 | 3 | [
"A115329",
"A362161",
"A362163",
"A362165"
]
| null | Seiichi Manyama, Apr 10 2023 | 2023-12-04T06:12:52 | oeisdata/seq/A362/A362165.seq | 6fac62124d83e9480b3deeae6655a73d |
A362166 | Expansion of e.g.f. exp(-x * (1-3*x)^(1/3)). | [
"1",
"-1",
"3",
"-1",
"41",
"299",
"4531",
"74507",
"1474481",
"33540119",
"864507491",
"24891022199",
"791755864153",
"27571976573699",
"1043247441846611",
"42615848603499779",
"1869129393654945761",
"87605345727468933167",
"4369604246576366377411",
"231091472431638655755119"
]
| [
"sign",
"easy"
]
| 11 | 0 | 3 | [
"A362162",
"A362164",
"A362166"
]
| null | Seiichi Manyama, Apr 10 2023 | 2023-12-04T06:19:16 | oeisdata/seq/A362/A362166.seq | 39378c6a18ab40a40658c6972acc379d |
A362167 | a(n) = the hypergraph Catalan number C_2(n). | [
"1",
"1",
"6",
"57",
"678",
"9270",
"139968",
"2285073",
"39871926",
"739129374",
"14521778820",
"302421450474",
"6687874784484",
"157491909678168",
"3961138908376692",
"106663881061254465",
"3078671632202791782",
"95213375569840078422",
"3149291101933230285924",
"111073721303120881912686"
]
| [
"nonn",
"walk"
]
| 30 | 0 | 3 | [
"A000055",
"A000108",
"A362167",
"A362168",
"A362169",
"A362170",
"A362171",
"A362172",
"A369288"
]
| null | Peter Bala, Apr 10 2023 | 2024-05-07T07:05:42 | oeisdata/seq/A362/A362167.seq | 94336a86df7e45c68758f96acca900c3 |
A362168 | a(n) = the hypergraph Catalan number C_3(n). | [
"1",
"1",
"20",
"860",
"57200",
"5344800",
"682612800",
"118180104000",
"27396820448000",
"8312583863720000",
"3209035788149600000",
"1534218535286625760000",
"888028389273314675200000",
"611029957551257895664000000",
"492466785518772137553984000000",
"459270692175324078697443840000000"
]
| [
"nonn",
"walk"
]
| 17 | 0 | 3 | [
"A000055",
"A000108",
"A362167",
"A362168",
"A362169",
"A362170",
"A362171",
"A362172",
"A369288"
]
| null | Peter Bala, Apr 10 2023 | 2024-02-01T16:37:22 | oeisdata/seq/A362/A362168.seq | d2dcea77cd4fd9c103e141661d6950de |
A362169 | a(n) = the hypergraph Catalan number C_4(n). | [
"1",
"1",
"70",
"15225",
"7043750",
"6327749750",
"10411817136000",
"29034031694460625",
"126890003304310093750",
"816448082514611102718750",
"7379204202189710013311562500",
"90369225128606332243844280406250",
"1457163640851863433667228849319062500",
"30217741884769257764596041337071409375000"
]
| [
"nonn",
"walk"
]
| 17 | 0 | 3 | [
"A000055",
"A000108",
"A362167",
"A362168",
"A362169",
"A362170",
"A362171",
"A362172",
"A369288"
]
| null | Peter Bala, Apr 10 2023 | 2024-02-01T16:37:18 | oeisdata/seq/A362/A362169.seq | e6ee1e0d2447721b86f8ffd14c047131 |
A362170 | a(n) = the hypergraph Catalan number C_5(n). | [
"1",
"1",
"252",
"299880",
"1112865264",
"11126161436292",
"255654847841227632",
"11676346013544951854304",
"953196481551725431240711680",
"128864126679853773803689954958112",
"27235509875891350493949247236459319296",
"8599544533810439129313490410035564948257536"
]
| [
"nonn",
"walk"
]
| 15 | 0 | 3 | [
"A000055",
"A000108",
"A362167",
"A362168",
"A362169",
"A362170",
"A362171",
"A362172",
"A369288"
]
| null | Peter Bala, Apr 10 2023 | 2024-02-01T16:37:13 | oeisdata/seq/A362/A362170.seq | d0dab0f0fcb98fc019b18e68a885ebc5 |
A362171 | a(n) = the hypergraph Catalan number C_6(n). | [
"1",
"1",
"924",
"6358044",
"203356067376",
"23345633108619360",
"7484535614458774428480",
"5583028528736289502562408256",
"8547031978688473343843434600852224",
"24503310825110075324451531207978424853568",
"122607946140627185219752569884701085604290069760"
]
| [
"nonn",
"walk"
]
| 14 | 0 | 3 | [
"A000055",
"A000108",
"A362167",
"A362168",
"A362169",
"A362170",
"A362171",
"A362172",
"A369288"
]
| null | Peter Bala, Apr 10 2023 | 2024-02-01T16:37:04 | oeisdata/seq/A362/A362171.seq | efd58d44898c1e26e24d2a66bc6601a0 |
A362172 | a(n) = the hypergraph Catalan number C_7(n). | [
"1",
"1",
"3432",
"141858288",
"40309820014464",
"53321581727982247680",
"238681094467043912358445056",
"2924960829706245011243295851200512",
"84750120431280677998861681616641721991168",
"5208807724759446156144077076658272647436908396544"
]
| [
"nonn",
"walk"
]
| 13 | 0 | 3 | [
"A000055",
"A000108",
"A362167",
"A362168",
"A362169",
"A362170",
"A362171",
"A362172",
"A369288"
]
| null | Peter Bala, Apr 10 2023 | 2024-02-01T16:36:59 | oeisdata/seq/A362/A362172.seq | d5d339edf1b95e8e69c111de563cb3c6 |
A362173 | a(n) = n! * Sum_{k=0..floor(n/3)} (n/6)^k * binomial(n-2*k,k)/(n-2*k)!. | [
"1",
"1",
"1",
"4",
"17",
"51",
"481",
"3676",
"18369",
"272917",
"3011201",
"21058236",
"427112401",
"6160655359",
"55380250017",
"1423658493076",
"25361574327041",
"278603741558601",
"8673295084155649",
"183914415577719892",
"2387417408385462801",
"87273239189497636171",
"2146479566819857007201"
]
| [
"nonn"
]
| 30 | 0 | 4 | [
"A277614",
"A362043",
"A362173",
"A362300",
"A362301"
]
| null | Seiichi Manyama, Apr 14 2023 | 2025-02-16T08:34:05 | oeisdata/seq/A362/A362173.seq | 260b1fb953762287c63dbccb14335b78 |
A362174 | Number of n X n matrices with nonnegative integer entries such that the sum of the elements of each row is equal to the index of that row. | [
"1",
"1",
"6",
"180",
"28000",
"23152500",
"103507455744",
"2532712433771520",
"342315030877028352000",
"257389071045194840814562500",
"1082814493908215083601185600000000",
"25605944807023092680403880661295843852288",
"3416912747607221845915134383073991514372073062400"
]
| [
"nonn"
]
| 70 | 0 | 3 | [
"A001700",
"A306789",
"A361749",
"A362174"
]
| null | Michael Richard, Jun 12 2023 | 2023-11-19T06:34:07 | oeisdata/seq/A362/A362174.seq | c10898ce396d4e22cd08c3df5c8c6d2e |
A362175 | Least number k > 1 not a power of 10 such that k^n, n > 2, starts with k, or -1 if no such number exists. | [
"32",
"46416",
"18",
"4",
"6813",
"2",
"75",
"6",
"2",
"152",
"6813",
"12",
"44",
"4",
"65",
"2",
"6",
"3",
"2",
"3",
"39",
"5",
"75",
"4",
"538",
"2",
"72",
"53",
"2",
"69",
"7",
"5",
"7627",
"4",
"6",
"2",
"12",
"13434",
"2",
"8",
"3",
"5",
"13",
"4",
"33246",
"2",
"14",
"11",
"2",
"18",
"538",
"5",
"6",
"152",
"75",
"2",
"7",
"21",
"2",
"3",
"552",
"3",
"75",
"3",
"39",
"2",
"3057",
"38",
"2",
"7",
"6",
"5"
]
| [
"nonn",
"base"
]
| 39 | 3 | 1 | [
"A100129",
"A320930",
"A362096",
"A362097",
"A362098",
"A362099",
"A362100",
"A362101",
"A362175"
]
| null | Jean-Marc Rebert, Apr 11 2023 | 2023-04-14T10:54:14 | oeisdata/seq/A362/A362175.seq | 1610036b3d80be9fc997794cb54da7e1 |
A362176 | Expansion of e.g.f. exp(x * (1-2*x)). | [
"1",
"1",
"-3",
"-11",
"25",
"201",
"-299",
"-5123",
"3249",
"167185",
"50221",
"-6637179",
"-8846903",
"309737689",
"769776645",
"-16575533939",
"-62762132639",
"998072039457",
"5265897058909",
"-66595289781995",
"-466803466259079",
"4860819716300521",
"44072310882063157",
"-383679824152382691"
]
| [
"sign",
"easy"
]
| 18 | 0 | 3 | [
"A000012",
"A047974",
"A115329",
"A158954",
"A158968",
"A293604",
"A293720",
"A362176",
"A362177",
"A362277"
]
| null | Seiichi Manyama, Apr 10 2023 | 2024-07-12T21:58:00 | oeisdata/seq/A362/A362176.seq | c8cb496aa9fa559733b010e25b7d75c4 |
A362177 | Expansion of e.g.f. exp(x * (1-3*x)). | [
"1",
"1",
"-5",
"-17",
"73",
"481",
"-1709",
"-19025",
"52753",
"965953",
"-1882709",
"-59839889",
"64418905",
"4372890913",
"-651783677",
"-367974620369",
"-309314089439",
"35016249465985",
"66566286588763",
"-3715188655737617",
"-11303745326856599",
"434518893361657441",
"1858790804545588915"
]
| [
"sign",
"easy"
]
| 25 | 0 | 3 | [
"A000012",
"A047974",
"A115329",
"A158954",
"A158968",
"A293604",
"A293720",
"A362176",
"A362177",
"A362277"
]
| null | Seiichi Manyama, Apr 10 2023 | 2024-07-13T02:14:55 | oeisdata/seq/A362/A362177.seq | f81bf5bac840e17bb7426f3747d18f19 |
A362178 | a(1) = 1, a(2) = 2; for n > 2, a(n) is the smallest positive number that has not yet appeared that is a multiple of omega(a(n-1)). | [
"1",
"2",
"3",
"4",
"5",
"6",
"8",
"7",
"9",
"10",
"12",
"14",
"16",
"11",
"13",
"15",
"18",
"20",
"22",
"24",
"26",
"28",
"30",
"21",
"32",
"17",
"19",
"23",
"25",
"27",
"29",
"31",
"33",
"34",
"36",
"38",
"40",
"42",
"39",
"44",
"46",
"48",
"50",
"52",
"54",
"56",
"58",
"60",
"45",
"62",
"64",
"35",
"66",
"51",
"68",
"70",
"57",
"72",
"74",
"76",
"78",
"63",
"80",
"82",
"84",
"69",
"86",
"88",
"90",
"75",
"92",
"94",
"96",
"98",
"100"
]
| [
"nonn"
]
| 33 | 1 | 2 | [
"A000005",
"A001221",
"A124056",
"A342585",
"A354606",
"A362031",
"A362077",
"A362178"
]
| null | Scott R. Shannon, Apr 11 2023 | 2023-04-13T02:35:32 | oeisdata/seq/A362/A362178.seq | 7ecddf67883060bf28c4a22b30c9e83e |
A362179 | Main diagonal of the square array A058395. | [
"1",
"1",
"4",
"10",
"25",
"61",
"146",
"344",
"800",
"1840",
"4192",
"9472",
"21248",
"47360",
"104960",
"231424",
"507904",
"1110016",
"2416640",
"5242880",
"11337728",
"24444928",
"52559872",
"112721920",
"241172480",
"514850816",
"1096810496",
"2332033024",
"4949278720",
"10485760000",
"22179479552",
"46841987072"
]
| [
"nonn",
"easy"
]
| 11 | 0 | 3 | [
"A000217",
"A007318",
"A008805",
"A058395",
"A158920",
"A362179"
]
| null | Philippe Deléham, Apr 10 2023 | 2023-04-17T06:35:17 | oeisdata/seq/A362/A362179.seq | f1562b0de80c6d12c10ab12237a74427 |
A362180 | Irregular table read by rows in which the n-th row consists of all the numbers m such that A323410(m) = n. | [
"6",
"10",
"12",
"15",
"14",
"20",
"21",
"18",
"24",
"28",
"35",
"22",
"36",
"40",
"33",
"45",
"26",
"44",
"56",
"39",
"55",
"63",
"52",
"72",
"65",
"77",
"34",
"48",
"88",
"51",
"91",
"99",
"38",
"68",
"80",
"104",
"57",
"85",
"117",
"30",
"76",
"112",
"95",
"119",
"143",
"46",
"136",
"144",
"69",
"133",
"153",
"50",
"92",
"152",
"176",
"75",
"115",
"171",
"187",
"54",
"100",
"208"
]
| [
"nonn",
"tabf"
]
| 11 | 2 | 1 | [
"A032447",
"A246655",
"A323410",
"A361966",
"A362180",
"A362181",
"A362213"
]
| null | Amiram Eldar, Apr 10 2023 | 2023-04-11T04:18:11 | oeisdata/seq/A362/A362180.seq | d53e2fb5beacf8d9dd86dae792bd2f48 |
A362181 | Number of numbers k such that A323410(k) = n. | [
"0",
"0",
"1",
"0",
"2",
"1",
"2",
"1",
"3",
"1",
"3",
"2",
"3",
"3",
"2",
"2",
"3",
"3",
"4",
"3",
"3",
"3",
"3",
"3",
"4",
"4",
"3",
"3",
"4",
"5",
"4",
"5",
"4",
"5",
"3",
"4",
"4",
"5",
"3",
"5",
"3",
"5",
"5",
"5",
"4",
"6",
"4",
"6",
"4",
"6",
"2",
"7",
"4",
"6",
"4",
"6",
"3",
"7",
"3",
"5",
"4",
"6",
"3",
"8",
"2",
"6",
"6",
"7",
"4",
"8",
"4",
"6",
"6",
"7",
"3",
"9",
"4",
"7",
"4",
"5",
"5",
"9",
"6",
"9",
"4",
"7",
"3"
]
| [
"nonn"
]
| 9 | 2 | 5 | [
"A014197",
"A063740",
"A246655",
"A323410",
"A361967",
"A362180",
"A362181",
"A362182",
"A362183",
"A362184",
"A362185",
"A362186"
]
| null | Amiram Eldar, Apr 10 2023 | 2023-04-11T04:18:04 | oeisdata/seq/A362/A362181.seq | 848480d9e29ce28d46c9a1e42c0818f3 |
A362182 | Unitary noncototient numbers: numbers k such that A323410(x) = k has no solution. | [
"2",
"3",
"5",
"330",
"1206",
"1210",
"1656",
"1718",
"1806",
"1866",
"1926",
"2376",
"2982",
"3162",
"3186",
"3342",
"4012",
"4062",
"4194",
"4326",
"4502",
"4662",
"4810",
"5322",
"5466",
"6172",
"6402",
"6462",
"6534",
"6546",
"6672",
"6756",
"7266",
"7430",
"7866",
"8030",
"8140",
"8286",
"8386",
"8562",
"8586",
"8860",
"9114",
"9370",
"9516",
"9906"
]
| [
"nonn"
]
| 9 | 1 | 1 | [
"A005278",
"A007617",
"A323410",
"A347771",
"A362181",
"A362182"
]
| null | Amiram Eldar, Apr 10 2023 | 2023-04-11T04:18:08 | oeisdata/seq/A362/A362182.seq | ce73cbd01bf6cddf1bb5592248beead0 |
A362183 | Unitary highly cototient numbers: numbers k that have more solutions x to the equation A323410(x) = k than any smaller k. | [
"0",
"6",
"10",
"20",
"31",
"47",
"53",
"65",
"77",
"89",
"113",
"119",
"149",
"167",
"179",
"209",
"293",
"299",
"329",
"359",
"389",
"419",
"479",
"509",
"599",
"629",
"779",
"839",
"989",
"1049",
"1139",
"1259",
"1469",
"1559",
"1649",
"1679",
"1889",
"2099",
"2309",
"2729",
"3149",
"3359",
"3569",
"3989",
"4289",
"4409",
"4619",
"5249",
"5459",
"6089",
"6509"
]
| [
"nonn"
]
| 10 | 1 | 2 | [
"A097942",
"A100827",
"A323410",
"A361968",
"A362181",
"A362183",
"A362184"
]
| null | Amiram Eldar, Apr 10 2023 | 2023-04-11T04:17:58 | oeisdata/seq/A362/A362183.seq | 0c40365c7e26a4e351bcfc9dcaf9a5ad |
A362184 | Record values in A362183. | [
"1",
"2",
"3",
"4",
"5",
"6",
"7",
"8",
"9",
"10",
"11",
"13",
"14",
"16",
"17",
"21",
"23",
"25",
"26",
"27",
"31",
"33",
"34",
"37",
"38",
"45",
"49",
"54",
"59",
"62",
"64",
"71",
"80",
"81",
"84",
"92",
"99",
"106",
"122",
"137",
"145",
"147",
"167",
"174",
"180",
"183",
"203",
"211",
"231",
"232",
"251",
"253",
"283",
"289",
"306",
"318",
"342",
"362",
"378",
"410",
"412",
"453"
]
| [
"nonn"
]
| 8 | 1 | 2 | [
"A101373",
"A131934",
"A361971",
"A362181",
"A362183",
"A362184"
]
| null | Amiram Eldar, Apr 10 2023 | 2023-04-11T04:18:01 | oeisdata/seq/A362/A362184.seq | 4bc2c7de7e4c88efc659967f39aacd2d |
A362185 | Numbers k with a single solution x to the equation A323410(x) = k. | [
"0",
"4",
"7",
"9",
"11",
"216",
"218",
"220",
"546",
"652",
"666",
"700",
"834",
"850",
"906",
"924",
"996",
"1242",
"1386",
"1476",
"1506",
"1516",
"1596",
"1646",
"1662",
"1758",
"1770",
"1858",
"1890",
"1900",
"1946",
"2046",
"2170",
"2262",
"2352",
"2422",
"2578",
"2626",
"2668",
"2682",
"2814",
"2842",
"2980",
"2992",
"3010",
"3048",
"3100",
"3154"
]
| [
"nonn"
]
| 10 | 1 | 2 | [
"A131825",
"A323410",
"A361969",
"A362181",
"A362185"
]
| null | Amiram Eldar, Apr 10 2023 | 2023-04-11T04:17:54 | oeisdata/seq/A362/A362185.seq | df034513bfd42177d1c93de6264b632f |
A362186 | a(n) is the least number k such that the equation A323410(x) = k has exactly n solutions, or -1 if no such k exists. | [
"2",
"0",
"6",
"10",
"20",
"31",
"47",
"53",
"65",
"77",
"89",
"113",
"125",
"119",
"149",
"173",
"167",
"179",
"233",
"279",
"239",
"209",
"439",
"293",
"365",
"299",
"329",
"359",
"455",
"521",
"467",
"389",
"461",
"419",
"479",
"773",
"539",
"509",
"599",
"845",
"671",
"791",
"749",
"719",
"659",
"629",
"809",
"1055",
"881",
"779",
"899",
"965",
"929",
"1121",
"839",
"1403"
]
| [
"nonn"
]
| 9 | 0 | 1 | [
"A007374",
"A063507",
"A323410",
"A361970",
"A362181",
"A362186"
]
| null | Amiram Eldar, Apr 10 2023 | 2023-04-11T04:17:46 | oeisdata/seq/A362/A362186.seq | 3bb51e19e1905b1bbb68f2c5df102788 |
A362187 | a(n) = (n^2 - n)!. | [
"1",
"1",
"2",
"720",
"479001600",
"2432902008176640000",
"265252859812191058636308480000000",
"1405006117752879898543142606244511569936384000000000",
"710998587804863451854045647463724949736497978881168458687447040000000000000"
]
| [
"nonn",
"easy"
]
| 19 | 0 | 3 | [
"A000142",
"A000290",
"A002378",
"A039622",
"A088020",
"A179268",
"A272094",
"A272095",
"A272164",
"A362187",
"A362209"
]
| null | Stefano Spezia, Apr 10 2023 | 2023-04-17T02:02:28 | oeisdata/seq/A362/A362187.seq | 1985f1b4eadb31f46f0f8e811eb690ae |
A362188 | Expansion of e.g.f. exp(x/(1-3*x)^(2/3)). | [
"1",
"1",
"5",
"43",
"513",
"7781",
"142861",
"3075255",
"75879553",
"2110145833",
"65275127541",
"2222656864451",
"82595058938305",
"3325666654250253",
"144214230714973693",
"6700048267934377231",
"331988586859256529921",
"17475202293073669341905",
"973765103770578798536293"
]
| [
"nonn",
"easy"
]
| 11 | 0 | 3 | [
"A321837",
"A362164",
"A362188",
"A362205"
]
| null | Seiichi Manyama, Apr 11 2023 | 2023-04-11T11:34:18 | oeisdata/seq/A362/A362188.seq | b06e37d677623f65aee16bc6de3dc570 |
A362189 | Lexicographically earliest sequence of positive integers having the same concatenation of digits as the sequence 2^a(n). | [
"6",
"4",
"1",
"6",
"2",
"6",
"4",
"4",
"6",
"4",
"1",
"6",
"1",
"6",
"6",
"4",
"1",
"6",
"2",
"6",
"4",
"2",
"6",
"4",
"6",
"4",
"1",
"6",
"2",
"6",
"4",
"4",
"6",
"4",
"1",
"6",
"4",
"6",
"4",
"1",
"6",
"6",
"4",
"1",
"6",
"2",
"6",
"4",
"4",
"6",
"4",
"1",
"6",
"1",
"6",
"6",
"4",
"1",
"6",
"2",
"6",
"4",
"1",
"6",
"6",
"4",
"1",
"6",
"2",
"6",
"4",
"6",
"4",
"1",
"6",
"2",
"6",
"4",
"4",
"6",
"4",
"1",
"6",
"1",
"6",
"6",
"4",
"1",
"6",
"2",
"6",
"4",
"2"
]
| [
"nonn",
"easy",
"base"
]
| 35 | 0 | 1 | [
"A000079",
"A362189",
"A362191"
]
| null | Eric Angelini and M. F. Hasler, Apr 10 2023 | 2023-04-15T08:21:55 | oeisdata/seq/A362/A362189.seq | f629251300cd49de8321faf07efb673e |
A362190 | Triangle read by rows: T(n,k) is the smallest integer not already in the same row or column and also not diagonally adjacent to an equal integer. | [
"0",
"1",
"2",
"3",
"0",
"1",
"2",
"4",
"3",
"0",
"5",
"1",
"2",
"4",
"3",
"4",
"3",
"0",
"1",
"2",
"5",
"6",
"5",
"4",
"3",
"0",
"1",
"2",
"7",
"8",
"6",
"2",
"4",
"3",
"0",
"1",
"9",
"10",
"5",
"7",
"1",
"2",
"4",
"3",
"0",
"8",
"6",
"9",
"10",
"5",
"0",
"1",
"2",
"4",
"3",
"10",
"7",
"8",
"6",
"9",
"4",
"3",
"0",
"1",
"2",
"5",
"11",
"9",
"10",
"5",
"7",
"6",
"8",
"4",
"3",
"0",
"1",
"2"
]
| [
"nonn",
"easy",
"tabl"
]
| 15 | 1 | 3 | [
"A025581",
"A362190"
]
| null | Gavin Lupo, Apr 10 2023 | 2023-05-08T02:28:39 | oeisdata/seq/A362/A362190.seq | 2388cb1b931757e435555bb1f23f857b |
A362191 | Lexicographically earliest sequence of distinct nonnegative integers having the same concatenation of digits as the sequence 2^a(n). | [
"6",
"4",
"1",
"62",
"46",
"11",
"68",
"60",
"18",
"42",
"7",
"3",
"8",
"79",
"0",
"470",
"36",
"87",
"44",
"17",
"76",
"64",
"20",
"48",
"2",
"9",
"5",
"14",
"790",
"51",
"793",
"52",
"82",
"58",
"56",
"115",
"29",
"21",
"50",
"460",
"684",
"69",
"762",
"621",
"444",
"39",
"80",
"465",
"1110",
"41",
"28",
"825",
"660",
"446",
"290",
"980",
"73",
"145",
"873",
"530"
]
| [
"nonn",
"base"
]
| 25 | 0 | 1 | [
"A000079",
"A362189",
"A362191",
"A362202"
]
| null | M. F. Hasler, Apr 10 2023 | 2024-01-25T07:55:30 | oeisdata/seq/A362/A362191.seq | 4ac0bb76e7ea1c0999e08a6dbf5c2d18 |
A362192 | A variant of payphone permutations: given a circular booth with n payphones, one of which is already occupied, a(n) is the number ways for n-1 people to choose the payphones in order, where each person chooses an unoccupied payphone such that the closest occupied payphone is as distant as possible. | [
"1",
"1",
"2",
"2",
"12",
"24",
"48",
"48",
"960",
"5760",
"20160",
"80640",
"322560",
"645120",
"967680",
"1935360",
"139345920",
"2786918400",
"30656102400",
"367873228800",
"2391175987200",
"11158821273600",
"62768369664000",
"1004293914624000",
"8034351316992000",
"32137405267968000",
"96412215803904000",
"385648863215616000",
"964122158039040000",
"1928244316078080000"
]
| [
"nonn"
]
| 6 | 1 | 3 | [
"A095236",
"A095239",
"A095240",
"A095912",
"A358056",
"A361294",
"A361295",
"A361296",
"A362192"
]
| null | Max Alekseyev, Apr 10 2023 | 2023-04-16T20:55:26 | oeisdata/seq/A362/A362192.seq | f7885f3806814947704e127009973826 |
A362193 | Number of Grassmannian permutations of size n that avoid a pattern, sigma, where sigma is a pattern of size 6 with exactly one descent. | [
"1",
"1",
"2",
"5",
"12",
"27",
"57",
"113",
"211",
"373",
"628",
"1013",
"1574",
"2367",
"3459",
"4929",
"6869",
"9385",
"12598",
"16645",
"21680",
"27875",
"35421",
"44529",
"55431",
"68381",
"83656",
"101557",
"122410",
"146567",
"174407",
"206337",
"242793",
"284241",
"331178",
"384133",
"443668",
"510379",
"584897"
]
| [
"nonn",
"easy"
]
| 29 | 0 | 3 | [
"A000325",
"A027660",
"A027927",
"A356185",
"A361270",
"A361271",
"A362193"
]
| null | Jessica A. Tomasko, Apr 10 2023 | 2023-04-14T03:34:26 | oeisdata/seq/A362/A362193.seq | a9ec41034639538dbd8808457de68a7c |
A362194 | Number of Grassmannian permutations of size n that avoid a pattern, sigma, where sigma is a pattern of size 7 with exactly one descent. | [
"1",
"1",
"2",
"5",
"12",
"27",
"58",
"120",
"239",
"457",
"838",
"1475",
"2498",
"4083",
"6462",
"9934",
"14877",
"21761",
"31162",
"43777",
"60440",
"82139",
"110034",
"145476",
"190027",
"245481",
"313886",
"397567",
"499150",
"621587",
"768182",
"942618",
"1148985",
"1391809",
"1676082",
"2007293",
"2391460",
"2835163",
"3345578",
"3930512"
]
| [
"nonn",
"easy"
]
| 17 | 0 | 3 | [
"A000325",
"A008859",
"A362193",
"A362194"
]
| null | Jessica A. Tomasko, Apr 20 2023 | 2023-04-21T05:12:55 | oeisdata/seq/A362/A362194.seq | 41732c1aeccff7e5647bdc312a7d3413 |
A362195 | Number of Grassmannian permutations of size n that avoid a pattern, sigma, where sigma is a pattern of size 8 with exactly one descent. | [
"1",
"1",
"2",
"5",
"12",
"27",
"58",
"121",
"247",
"493",
"958",
"1805",
"3290",
"5799",
"9894",
"16369",
"26317",
"41209",
"62986",
"94165",
"137960",
"198419",
"280578",
"390633",
"536131",
"726181",
"971686",
"1285597",
"1683190",
"2182367",
"2803982",
"3572193",
"4514841",
"5663857",
"7055698",
"8731813",
"10739140",
"13130635"
]
| [
"nonn",
"easy"
]
| 14 | 0 | 3 | [
"A000325",
"A362194",
"A362195"
]
| null | Jessica A. Tomasko, Apr 20 2023 | 2023-04-21T05:13:20 | oeisdata/seq/A362/A362195.seq | ab0bf5665d8b27df7f4739f08e67734d |
A362196 | Number of Grassmannian permutations of size n that avoid a pattern, sigma, where sigma is a pattern of size 9 with exactly one descent. | [
"1",
"1",
"2",
"5",
"12",
"27",
"58",
"121",
"248",
"502",
"1003",
"1970",
"3785",
"7086",
"12897",
"22804",
"39187",
"65519",
"106744",
"169747",
"263930",
"401909",
"600348",
"880947",
"1271602",
"1807756",
"2533961",
"3505672",
"4791295",
"6474512",
"8656907",
"11460918",
"15033141",
"19548013",
"25211902",
"32267633",
"40999480"
]
| [
"nonn",
"easy"
]
| 20 | 0 | 3 | [
"A000325",
"A362195",
"A362196"
]
| null | Jessica A. Tomasko, Apr 20 2023 | 2023-05-05T16:03:54 | oeisdata/seq/A362/A362196.seq | a0f19b1260e543ef09e9e0e31a028088 |
A362197 | Number of Grassmannian permutations of size n that avoid a pattern, sigma, where sigma is a pattern of size 10 with exactly one descent. | [
"1",
"1",
"2",
"5",
"12",
"27",
"58",
"121",
"248",
"503",
"1013",
"2025",
"4005",
"7801",
"14899",
"27809",
"50627",
"89829",
"155364",
"262125",
"431890",
"695839",
"1097768",
"1698137",
"2579106",
"3850731",
"5658511",
"8192497",
"11698195",
"16489517",
"22964057",
"31620993",
"43081941",
"58115113",
"77663158",
"102875093"
]
| [
"nonn",
"easy"
]
| 13 | 0 | 3 | [
"A000325",
"A362196",
"A362197"
]
| null | Jessica A. Tomasko, Apr 29 2023 | 2023-05-07T06:30:42 | oeisdata/seq/A362/A362197.seq | 89489d9fb6fb784fac8504aef2e180b6 |
A362198 | a(n) = number of isogeny classes of abelian surfaces over the finite field of order prime(n). | [
"35",
"63",
"129",
"207",
"401",
"513",
"765",
"897",
"1193",
"1683",
"1861",
"2425",
"2821",
"3031",
"3461",
"4139",
"4861",
"5109",
"5877",
"6409",
"6683",
"7521",
"8099",
"8987",
"10223",
"10865",
"11185",
"11839",
"12173",
"12849",
"15301",
"16031",
"17143",
"17519",
"19441",
"19833",
"21027",
"22239",
"23065",
"24317",
"25589",
"26019",
"28203",
"28647",
"29545",
"29993"
]
| [
"nonn"
]
| 23 | 1 | 1 | [
"A362198",
"A362201",
"A362570"
]
| null | Robin Visser, Apr 10 2023 | 2023-07-23T13:42:26 | oeisdata/seq/A362/A362198.seq | 7c8c3eaea779eb9463b817963d1a671e |
A362199 | Decimal expansion of the sum of the reciprocals of the Busy Beaver numbers (A060843). | [
"1",
"2",
"2",
"3",
"6",
"3",
"1",
"5",
"2",
"9",
"8",
"7",
"5",
"0",
"6",
"5",
"6",
"7",
"2",
"0",
"6",
"7",
"7",
"6",
"2",
"6",
"8",
"3",
"1",
"7",
"6",
"3",
"1",
"2",
"4",
"6",
"2",
"1",
"6",
"2",
"2",
"6",
"4",
"6",
"6",
"0",
"0",
"2",
"7",
"1",
"6",
"1",
"4",
"9",
"0",
"9",
"0",
"6",
"4",
"6",
"8",
"9",
"4",
"4",
"5",
"6",
"4",
"1",
"9",
"6",
"8",
"8",
"4",
"9",
"8",
"7",
"5",
"6",
"4",
"5",
"4",
"9",
"7",
"2",
"8",
"9",
"7",
"1",
"6",
"2",
"6",
"1",
"2",
"7",
"7",
"9",
"0",
"1",
"4",
"6",
"8",
"5",
"6",
"4",
"4"
]
| [
"nonn",
"cons",
"hard"
]
| 22 | 1 | 2 | [
"A060843",
"A362199"
]
| null | Robert C. Lyons, Apr 10 2023 | 2024-12-23T13:58:15 | oeisdata/seq/A362/A362199.seq | 7011d32ed620c401ca6ca4293d8980d5 |
A362200 | Semiprimes k such that k+1, k+2, 2*k+1 and 2*k+3 are also semiprimes. | [
"11733",
"15117",
"17245",
"28113",
"32365",
"34413",
"48745",
"78481",
"93453",
"101665",
"102957",
"105333",
"108753",
"134097",
"143101",
"157713",
"163801",
"170853",
"190621",
"208293",
"212545",
"233097",
"273417",
"274893",
"294301",
"300385",
"323281",
"346497",
"354565",
"363777",
"390205",
"405357",
"470341",
"500217",
"501477",
"542193",
"555153",
"561205"
]
| [
"nonn"
]
| 8 | 1 | 1 | [
"A001358",
"A092192",
"A362200"
]
| null | Zak Seidov and Robert Israel, Apr 10 2023 | 2023-04-16T20:34:04 | oeisdata/seq/A362/A362200.seq | 658caafeb48190a7787947b08aaee067 |
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