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666,262,453B
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1999-12-11 03:00:00
2025-07-14 02:38:35
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A362401
Numbers in the range of A162296, where A162296(n) is the sum of divisors of n that have a square factor larger than 1.
[ "0", "4", "9", "12", "16", "24", "25", "27", "28", "32", "36", "48", "49", "54", "56", "60", "72", "75", "79", "80", "96", "100", "108", "112", "117", "120", "121", "124", "126", "128", "144", "147", "150", "152", "162", "168", "169", "176", "180", "183", "192", "196", "199", "200", "216", "224", "240", "248", "252", "268", "270", "272", "288", "289", "294", "296", "300" ]
[ "nonn" ]
11
1
2
[ "A002174", "A002191", "A002202", "A005117", "A078923", "A162296", "A274790", "A362401" ]
null
Amiram Eldar, Apr 18 2023
2023-04-20T13:20:26
oeisdata/seq/A362/A362401.seq
c5c09b978d5e3d3dae508a033105eb14
A362402
Positive numbers m such that a record number of numbers k have m as the sum of divisors of k that have a square factor (A162296).
[ "1", "4", "48", "72", "216", "288", "864", "1440", "1728", "2880", "3456", "4320", "5184", "5760", "8640", "12096", "17280", "25920", "34560", "48384", "51840", "69120", "103680", "120960", "155520", "181440", "207360", "241920", "311040", "362880", "483840", "622080", "725760", "967680", "1088640", "1209600", "1451520", "2177280", "2903040" ]
[ "nonn" ]
10
1
2
[ "A097942", "A100827", "A145899", "A162296", "A238895", "A362401", "A362402", "A362403" ]
null
Amiram Eldar, Apr 18 2023
2023-04-20T13:21:00
oeisdata/seq/A362/A362402.seq
6c0486e0af5050883fd44d1c505ca6bf
A362403
Number of times that the number A362402(n) occurs as a sum of divisors that have a square factor (A162296).
[ "0", "1", "2", "3", "5", "7", "9", "10", "13", "15", "16", "20", "22", "23", "28", "34", "46", "53", "60", "62", "78", "81", "113", "115", "122", "132", "154", "184", "185", "222", "248", "254", "343", "346", "350", "354", "497", "569", "701", "711", "860", "941", "1088", "1221", "1222", "1235", "1263", "1306", "1572", "1721", "1737", "1948", "2191", "2315", "2418", "2877" ]
[ "nonn" ]
10
1
3
[ "A101373", "A131934", "A162296", "A206027", "A238896", "A362401", "A362402", "A362403" ]
null
Amiram Eldar, Apr 18 2023
2023-04-20T13:20:17
oeisdata/seq/A362/A362403.seq
a64ec3692a31221018979c91b05bb737
A362404
Numbers k such that k and k+1 are both in A362401.
[ "24", "27", "48", "79", "120", "168", "199", "288", "350", "360", "378", "391", "447", "507", "528", "775", "840", "895", "960", "1088", "1136", "1368", "1638", "1639", "1680", "1848", "1849", "2095", "2127", "2208", "2322", "2749", "2808", "3720", "3726", "3798", "3799", "3919", "4050", "4087", "4488", "4550", "4872", "5040", "5328", "5448", "5631", "6240" ]
[ "nonn" ]
12
1
1
[ "A162296", "A362401", "A362404", "A362405" ]
null
Amiram Eldar, Apr 18 2023
2023-04-20T13:21:13
oeisdata/seq/A362/A362404.seq
2185d6d8f9f02037cf960830c94061e9
A362405
Numbers k such that k, k+1 and k+2 are all in A362401.
[ "1638", "1848", "3798", "11448", "16854", "26910", "35574", "37248", "57120", "69678", "69822", "85848", "94248", "110526", "208848", "272214", "305046", "310248", "335478", "335479", "368448", "573048", "580680", "687240", "1017126", "1154270", "1230606", "1289358", "1423248", "1467414", "1697808", "1718880", "1776750", "1777248" ]
[ "nonn" ]
12
1
1
[ "A162296", "A362401", "A362404", "A362405" ]
null
Amiram Eldar, Apr 18 2023
2023-04-20T13:20:38
oeisdata/seq/A362/A362405.seq
ad6a52239b4ccdc7704d2a9cd43da4f8
A362406
Denominators of the expansion of the series reversion of sin(x) + x, odd powers only.
[ "2", "96", "1920", "1290240", "92897280", "326998425600", "51011754393600", "85699747381248000", "23310331287699456000", "63777066403145711616000", "26786367889321198878720000", "867449737727777704488468480000", "520469842636666622693081088000000", "5845917272495039506088686780416000000" ]
[ "nonn", "frac" ]
27
0
1
[ "A302977", "A306254", "A362406", "A362407" ]
null
Billy Bolton, Apr 18 2023
2023-09-03T10:17:56
oeisdata/seq/A362/A362406.seq
4ce986ced20f0686652fd5aa64e481c1
A362407
Numerators of the expansion of the series reversion of sin(x) + x, odd powers only.
[ "1", "1", "1", "43", "223", "60623", "764783", "107351407", "2499928867", "596767688063", "22200786516383", "64470807442488761", "3504534741776035061", "3597207408242668198973", "268918457620309807441853", "185388032403184965693274807", "18241991360742724891839902347" ]
[ "nonn", "frac" ]
21
0
4
[ "A302977", "A306254", "A362406", "A362407" ]
null
Billy Bolton, Apr 18 2023
2023-09-03T10:18:43
oeisdata/seq/A362/A362407.seq
dbd2e1ddd33b07525ba6069cdd9b783d
A362408
a(n) = [x^n] (F(x)/F(-x))^n where F(x) = (1 + x)*(1 + x^3).
[ "1", "2", "8", "44", "256", "1502", "8912", "53510", "324352", "1980332", "12160008", "75015162", "464566144", "2886488906", "17985045464", "112333392044", "703119387648", "4409231140086", "27696141476336", "174229516043630", "1097501783152256", "6921721148337452", "43701895245221848" ]
[ "nonn", "easy" ]
9
0
2
[ "A002003", "A228960", "A333579", "A362408" ]
null
Peter Bala, Apr 18 2023
2023-04-23T12:19:56
oeisdata/seq/A362/A362408.seq
d0939cb8fcf1e538246dcd08140f0c2b
A362409
a(n) is the least number that is the sum of a Fibonacci number and a square in exactly n ways.
[ "15", "7", "3", "1", "17" ]
[ "nonn", "more" ]
16
0
1
[ "A000045", "A362409", "A362434", "A362503" ]
null
Robert Israel, Apr 21 2023
2023-05-01T09:30:25
oeisdata/seq/A362/A362409.seq
ca4820c1aead2f2de1abe627f6d74bf7
A362410
Numbers k such that A000292(k) is in A046386.
[ "19", "33", "45", "51", "59", "61", "65", "67", "69", "77", "85", "93", "105", "109", "113", "129", "141", "165", "181", "193", "197", "201", "211", "213", "217", "221", "227", "237", "257", "261", "267", "277", "291", "301", "309", "317", "345", "347", "353", "357", "365", "393", "397", "401", "409", "417", "421", "437", "445", "461", "465", "477", "497", "521", "561", "569", "597", "613", "633", "653", "661", "677" ]
[ "nonn" ]
15
1
1
[ "A000292", "A046386", "A353027", "A362410" ]
null
Robert Israel, Apr 18 2023
2024-05-06T22:59:49
oeisdata/seq/A362/A362410.seq
38675581470a72a02116694d8ba40beb
A362411
Numbers k such that A359149(k) is prime when interpreted as a binary number.
[ "2", "4", "38", "2861" ]
[ "nonn", "base", "more" ]
3
1
1
[ "A007088", "A359149", "A362411" ]
null
Michael S. Branicky, Apr 18 2023
2023-04-19T11:26:36
oeisdata/seq/A362/A362411.seq
fdb6405670205ac9657062fa89311506
A362412
The number of prime factors of the square root of the largest square dividing n, counted with multiplicity.
[ "0", "0", "0", "1", "0", "0", "0", "1", "1", "0", "0", "1", "0", "0", "0", "2", "0", "1", "0", "1", "0", "0", "0", "1", "1", "0", "1", "1", "0", "0", "0", "2", "0", "0", "0", "2", "0", "0", "0", "1", "0", "0", "0", "1", "1", "0", "0", "2", "1", "1", "0", "1", "0", "1", "0", "1", "0", "0", "0", "1", "0", "0", "1", "3", "0", "0", "0", "1", "0", "0", "0", "2", "0", "0", "1", "1", "0", "0", "0", "2", "2", "0", "0", "1", "0", "0", "0" ]
[ "nonn", "easy" ]
40
1
16
[ "A000188", "A000290", "A001222", "A004526", "A005117", "A008833", "A154945", "A162642", "A349326", "A362412", "A366073" ]
null
Amiram Eldar, Sep 28 2023
2025-05-07T10:45:26
oeisdata/seq/A362/A362412.seq
131febdd14976e21600fe83620db6cd3
A362413
The second moment of an n X n symmetric random +-1 matrix.
[ "1", "1", "2", "8", "44", "244", "1744", "13768", "127952", "1270736", "14384096", "172799296", "2306400832", "32442943168", "498547591424", "8031916728704", "139611091407104", "2533449773986048", "49133884886866432", "991341134236389376", "21218511171980205056", "471083434031674336256" ]
[ "nonn" ]
42
0
3
[ "A052127", "A357571", "A362413" ]
null
Zelin Lv, Apr 18 2023
2023-04-20T14:56:57
oeisdata/seq/A362/A362413.seq
6f4e5c427821b2553b3a5f7afc756c6c
A362414
a(n) = gcd(n, phi(n)^2) / gcd(n, phi(n)).
[ "1", "1", "1", "2", "1", "1", "1", "2", "3", "1", "1", "1", "1", "1", "1", "2", "1", "3", "1", "1", "1", "1", "1", "1", "5", "1", "3", "1", "1", "1", "1", "2", "1", "1", "1", "3", "1", "1", "1", "1", "1", "1", "1", "1", "3", "1", "1", "1", "7", "5", "1", "1", "1", "3", "1", "1", "1", "1", "1", "1", "1", "1", "1", "2", "1", "1", "1", "1", "1", "1", "1", "3", "1", "1", "5", "1", "1", "1", "1", "1", "3", "1", "1", "1", "1", "1", "1", "1", "1", "3", "1", "1", "1", "1", "1", "1", "1", "7", "3", "5" ]
[ "nonn", "easy" ]
18
1
4
[ "A000010", "A000188", "A009195", "A362414" ]
null
Juri-Stepan Gerasimov, Apr 19 2023
2023-10-22T15:06:10
oeisdata/seq/A362/A362414.seq
262e46693dcb58c332beaca999870b0a
A362415
The n-th run occurs a(n) times, where each run is chosen to be shortest, then lexicographically earliest.
[ "1", "2", "1", "1", "2", "2", "1", "1", "1", "2", "1", "1", "1", "1", "2", "2", "2", "1", "1", "1", "1", "1", "2", "2", "2", "2", "1", "1", "1", "1", "1", "1", "2", "2", "2", "2", "2", "1", "1", "1", "1", "1", "1", "1", "2", "2", "2", "2", "2", "2", "1", "1", "1", "2", "2", "2", "2", "1", "1", "1", "1", "1", "1", "1", "1", "2", "2", "2", "2", "2", "2", "2", "1", "1", "1", "1", "1", "1", "1", "1", "1", "2", "2", "2", "2", "2", "2", "2", "2", "1", "1", "1", "1", "1", "1", "1", "1", "1", "1", "2" ]
[ "nonn" ]
40
1
2
[ "A000002", "A001462", "A028242", "A361249", "A362415" ]
null
Neal Gersh Tolunsky, Apr 19 2023
2024-12-19T11:46:19
oeisdata/seq/A362/A362415.seq
dd90567c76e2b321fd77b085244f9918
A362416
Winning numbers of game where you can either add one or divide by a prime.
[ "1", "4", "6", "10", "14", "16", "22", "25", "27", "34", "36", "38", "40", "46", "49", "51", "56", "58", "60", "63", "65", "69", "74", "77", "82", "84", "86", "88", "91", "94", "96", "100", "104", "106", "111", "115", "117", "119", "121", "123", "129", "132", "134", "136", "140", "142", "144", "146", "150", "152", "156", "158", "160", "162", "166", "169", "171", "178", "183" ]
[ "nonn" ]
31
1
2
[ "A362416", "A363369" ]
null
Leif Sabellek, Apr 19 2023
2024-12-19T11:54:21
oeisdata/seq/A362/A362416.seq
c9ef2e234a487c637ef188f6775312fc
A362417
Beginning with 1, smallest positive integer not yet in the sequence such that two adjacent digits A and B of the sequence (also ignoring commas between terms) produce a prime = A + 2B. This is the earliest infinitely extensible such sequence.
[ "1", "3", "5", "7", "20", "11", "9", "13", "15", "19", "50", "111", "30", "113", "51", "31", "35", "37", "53", "57", "59", "70", "115", "73", "75", "91", "95", "97", "201", "119", "120", "130", "131", "135", "137", "301", "150", "151", "153", "157", "311", "159", "191", "195", "197", "313", "501", "315", "319", "511", "320", "1111", "350", "1113", "513", "515", "351", "353" ]
[ "base", "nonn" ]
28
1
2
[ "A182178", "A362417", "A362418" ]
null
Eric Angelini, Apr 19 2023
2023-04-23T17:11:21
oeisdata/seq/A362/A362417.seq
5163e8213d0adde30c6bd916803d6518
A362418
Beginning with 1, smallest positive integer not yet in the sequence such that two adjacent digits A and B of the sequence (also ignoring commas between terms) produce a prime = A + 3B. This is the earliest infinitely extensible such sequence.
[ "1", "2", "5", "4", "12", "7", "8", "14", "30", "120", "121", "20", "125", "21", "25", "27", "41", "45", "81", "201", "212", "50", "127", "85", "87", "214", "52", "54", "58", "70", "141", "230", "145", "250", "1201", "252", "72", "74", "301", "254", "501", "258", "78", "520", "1212", "521", "270", "1214", "525", "272", "527", "274", "541", "278", "545", "412", "581", "414" ]
[ "base", "nonn" ]
28
1
2
[ "A182178", "A362417", "A362418" ]
null
Eric Angelini, Apr 19 2023
2023-04-23T17:12:08
oeisdata/seq/A362/A362418.seq
d1d4f38a903a8796764671e67647767b
A362419
Partial sum of the first n even semiprimes.
[ "4", "10", "20", "34", "56", "82", "116", "154", "200", "258", "320", "394", "476", "562", "656", "762", "880", "1002", "1136", "1278", "1424", "1582", "1748", "1926", "2120", "2322", "2528", "2742", "2960", "3186", "3440", "3702", "3976", "4254", "4552", "4854", "5168", "5494", "5828", "6174" ]
[ "nonn", "easy" ]
28
1
1
[ "A007504", "A100484", "A362419", "A362420" ]
null
R. J. Mathar, Apr 19 2023
2024-06-16T02:11:26
oeisdata/seq/A362/A362419.seq
e8b46c6dfaa3b1cba2322b26e0b4091c
A362420
Partial sum of the first n odd semiprimes.
[ "9", "24", "45", "70", "103", "138", "177", "226", "277", "332", "389", "454", "523", "600", "685", "772", "863", "956", "1051", "1162", "1277", "1396", "1517", "1640", "1769", "1902", "2043", "2186", "2331", "2486", "2645", "2806", "2975", "3152", "3335", "3520", "3707", "3908", "4111", "4316" ]
[ "nonn", "easy" ]
14
1
1
[ "A046315", "A362419", "A362420" ]
null
R. J. Mathar, Apr 19 2023
2024-03-19T17:22:38
oeisdata/seq/A362/A362420.seq
e3b9de16b648e675683a39dc15631f1c
A362421
Number of nonisomorphic vector spaces consisting of n elements.
[ "1", "1", "2", "1", "0", "1", "2", "2", "0", "1", "0", "1", "0", "0", "3", "1", "0", "1", "0", "0", "0", "1", "0", "2", "0", "2", "0", "1", "0", "1", "2", "0", "0", "0", "0", "1", "0", "0", "0", "1", "0", "1", "0", "0", "0", "1", "0", "2", "0", "0", "0", "1", "0", "0", "0", "0", "0", "1", "0", "1", "0", "0", "4", "0", "0", "1", "0", "0", "0", "1", "0", "1", "0", "0", "0", "0", "0", "1", "0", "3", "0", "1", "0", "0", "0", "0", "0" ]
[ "nonn" ]
11
2
3
null
null
Philip Turecek, Apr 19 2023
2023-05-13T06:18:55
oeisdata/seq/A362/A362421.seq
e605481f32d801f46f5afec66e58676e
A362422
Number of partitions of n into 2 perfect powers (A001597).
[ "0", "0", "1", "0", "0", "1", "0", "0", "1", "1", "1", "0", "1", "1", "0", "0", "1", "2", "1", "0", "1", "0", "0", "0", "1", "1", "1", "0", "1", "1", "0", "1", "1", "2", "1", "1", "2", "1", "0", "0", "2", "2", "0", "1", "1", "1", "0", "0", "1", "0", "2", "0", "2", "1", "1", "0", "0", "2", "1", "1", "0", "1", "0", "1", "1", "2", "0", "0", "2", "0", "0", "0", "2", "1", "1", "0", "1", "0", "0", "0", "1", "1", "1", "0", "0", "2", "0", "0", "0", "2", "1", "1" ]
[ "nonn" ]
9
0
18
[ "A001597", "A362422", "A362423" ]
null
Ilya Gutkovskiy, Apr 19 2023
2025-02-16T08:34:05
oeisdata/seq/A362/A362422.seq
5d59a6874ff2fd886e13e426545017d9
A362423
Number of partitions of n into 3 perfect powers (A001597).
[ "0", "0", "0", "1", "0", "0", "1", "0", "0", "1", "1", "1", "1", "1", "1", "0", "1", "2", "2", "1", "1", "2", "1", "0", "2", "2", "2", "2", "1", "2", "1", "0", "2", "3", "3", "2", "2", "3", "2", "1", "3", "4", "3", "2", "4", "4", "1", "1", "3", "4", "2", "3", "3", "3", "3", "1", "3", "3", "4", "3", "3", "4", "3", "2", "2", "4", "5", "3", "4", "4", "2", "1", "4", "5", "2", "3", "3", "5", "1", "2", "4", "5", "4", "2", "4", "2", "4", "0", "3", "5", "5", "2" ]
[ "nonn" ]
8
0
18
[ "A001597", "A362422", "A362423" ]
null
Ilya Gutkovskiy, Apr 19 2023
2025-02-16T08:34:05
oeisdata/seq/A362/A362423.seq
650a61edb7b7a9f3b3cc9d4034ebf2d4
A362424
Number of partitions of n into 2 distinct perfect powers (A001597).
[ "0", "0", "0", "0", "0", "1", "0", "0", "0", "1", "1", "0", "1", "1", "0", "0", "0", "2", "0", "0", "1", "0", "0", "0", "1", "1", "1", "0", "1", "1", "0", "1", "0", "2", "1", "1", "2", "1", "0", "0", "2", "2", "0", "1", "1", "1", "0", "0", "1", "0", "1", "0", "2", "1", "0", "0", "0", "2", "1", "1", "0", "1", "0", "1", "0", "2", "0", "0", "2", "0", "0", "0", "1", "1", "1", "0", "1", "0", "0", "0", "1", "1", "1", "0", "0", "2", "0", "0", "0", "2", "1", "1" ]
[ "nonn" ]
17
0
18
[ "A001597", "A072103", "A362424", "A362425" ]
null
Ilya Gutkovskiy, Apr 19 2023
2025-02-16T08:34:05
oeisdata/seq/A362/A362424.seq
41534107452982357df156e1072f4880
A362425
Number of partitions of n into 3 distinct perfect powers (A001597).
[ "0", "0", "0", "0", "0", "0", "0", "0", "0", "0", "0", "0", "0", "1", "1", "0", "0", "0", "1", "0", "0", "2", "0", "0", "0", "1", "1", "0", "1", "1", "1", "0", "1", "1", "1", "1", "1", "3", "1", "1", "1", "2", "3", "0", "3", "3", "1", "1", "1", "4", "1", "1", "2", "3", "1", "0", "3", "1", "2", "1", "3", "4", "2", "1", "1", "2", "3", "2", "2", "4", "1", "1", "2", "3", "2", "2", "2", "4", "1", "1", "1", "2", "2", "1", "4", "2", "2", "0", "2", "3", "4", "1" ]
[ "nonn" ]
8
0
22
[ "A001597", "A362424", "A362425" ]
null
Ilya Gutkovskiy, Apr 19 2023
2025-02-16T08:34:05
oeisdata/seq/A362/A362425.seq
8ceaa131d5ca55a2d0275d6943b31d05
A362426
Number of compositions (ordered partitions) of n into 2 perfect powers (A001597).
[ "0", "0", "1", "0", "0", "2", "0", "0", "1", "2", "2", "0", "2", "2", "0", "0", "1", "4", "1", "0", "2", "0", "0", "0", "2", "2", "2", "0", "2", "2", "0", "2", "1", "4", "2", "2", "4", "2", "0", "0", "4", "4", "0", "2", "2", "2", "0", "0", "2", "0", "3", "0", "4", "2", "1", "0", "0", "4", "2", "2", "0", "2", "0", "2", "1", "4", "0", "0", "4", "0", "0", "0", "3", "2", "2", "0", "2", "0", "0", "0", "2", "2", "2", "0", "0", "4", "0", "0", "0", "4", "2", "2" ]
[ "nonn" ]
8
0
6
[ "A001597", "A362426" ]
null
Ilya Gutkovskiy, Apr 19 2023
2025-02-16T08:34:05
oeisdata/seq/A362/A362426.seq
a29f9d94da62fdbe2cb8275e55fb3506
A362427
Number of compositions (ordered partitions) of n into perfect powers > 1.
[ "1", "0", "0", "0", "1", "0", "0", "0", "2", "1", "0", "0", "3", "2", "0", "0", "6", "5", "1", "0", "10", "10", "3", "0", "18", "23", "9", "2", "31", "46", "22", "6", "56", "94", "56", "19", "102", "184", "129", "50", "187", "364", "293", "134", "349", "710", "638", "332", "661", "1384", "1375", "805", "1287", "2683", "2904", "1878", "2547", "5205", "6069", "4306", "5150", "10115", "12530", "9659", "10558" ]
[ "nonn" ]
8
0
9
[ "A001597", "A112344", "A112345", "A362427" ]
null
Ilya Gutkovskiy, Apr 19 2023
2025-02-16T08:34:05
oeisdata/seq/A362/A362427.seq
d34b3fa6ed84ecc119048e774e7a7fac
A362428
a(n) is the least positive integer that can be expressed as the sum of one or more consecutive perfect powers (A001597) in exactly n ways, or -1 if no such integer exists.
[ "1", "25", "441" ]
[ "nonn", "bref", "more" ]
13
1
2
[ "A001597", "A362428" ]
null
Ilya Gutkovskiy, Apr 19 2023
2025-02-16T08:34:05
oeisdata/seq/A362/A362428.seq
21c221ef24e357c4a1b8dc87ce9864de
A362429
Smallest k such that the concatenation of the numbers 123...k in base n is prime when interpreted as a decimal number, or -1 if no such prime exists.
[ "-1", "231", "7315", "3241", "6", "12891", "22", "227", "127" ]
[ "sign", "base", "more" ]
33
1
2
[ "A007908", "A058935", "A117640", "A360502", "A362117", "A362118", "A362119", "A362429", "A376221" ]
null
Michael S. Branicky and N. J. A. Sloane, Apr 19 2023
2024-09-16T12:38:54
oeisdata/seq/A362/A362429.seq
c83f9717ef86005f06e5c56938138762
A362430
E.g.f. satisfies A(x) = exp(x - x^3 * A(x)).
[ "1", "1", "1", "-5", "-47", "-239", "121", "19321", "261409", "1449505", "-20428559", "-730564559", "-10403326559", "-10910781023", "3713153976169", "108037345645321", "1301173754543041", "-22441761904964159", "-1628466860540690207", "-41339196023230498463", "-189173461196772118079" ]
[ "sign" ]
9
0
4
[ "A362392", "A362396", "A362430", "A362431" ]
null
Seiichi Manyama, Apr 20 2023
2025-02-16T08:34:05
oeisdata/seq/A362/A362430.seq
37a6817531dc59902cbd458f35581e56
A362431
E.g.f. satisfies A(x) = exp(x - x^4 * A(x)).
[ "1", "1", "1", "1", "-23", "-239", "-1439", "-6719", "33601", "1536193", "24171841", "268424641", "1144566721", "-47515765439", "-1727426116415", "-36344982098879", "-481057514071679", "1197767242412161", "319851095455612801", "12145632936380316289", "293167011107091899521", "3520557699737168603521" ]
[ "sign" ]
11
0
5
[ "A362393", "A362396", "A362430", "A362431" ]
null
Seiichi Manyama, Apr 20 2023
2025-02-16T08:34:05
oeisdata/seq/A362/A362431.seq
1acbe18763eef914d306abdc778b9b38
A362432
a(n) is the smallest k > A126706(n) such that rad(k) = rad(A126706(n)) and k mod n != 0, where rad(n) = A007947(n).
[ "18", "24", "50", "36", "98", "48", "50", "242", "75", "54", "80", "338", "72", "98", "90", "147", "578", "96", "135", "722", "100", "126", "242", "120", "1058", "108", "112", "363", "160", "338", "144", "196", "1682", "507", "150", "1922", "168", "198", "225", "578", "350", "162", "189", "2738", "180", "722", "867", "234", "200", "192", "3362", "252", "1083", "3698", "245", "242", "240", "1058", "4418", "441", "216", "224" ]
[ "nonn" ]
15
1
1
[ "A007947", "A065642", "A126706", "A362432" ]
null
Michael De Vlieger, May 19 2023
2023-05-20T15:04:56
oeisdata/seq/A362/A362432.seq
227530e86af7edd12d05525d159f34ce
A362433
The succession of the digits of the sequence remains the same when 11 is added to each term.
[ "1", "2", "13", "24", "3", "5", "14", "16", "25", "27", "36", "38", "4", "7", "49", "15", "18", "60", "26", "29", "71", "37", "40", "8", "248", "51", "19", "259", "6", "230", "270", "17", "241", "28", "12", "82", "52", "39", "23", "9", "363", "50", "34", "20", "374", "61", "45", "31", "385", "72", "56", "42", "396", "83", "67", "53", "407", "94", "78", "64", "41", "810", "58", "97", "55" ]
[ "nonn", "base" ]
26
1
2
[ "A360227", "A362433" ]
null
Eric Angelini, Apr 20 2023
2023-04-29T17:37:16
oeisdata/seq/A362/A362433.seq
0aad0fc11a1f9e121ec66031f44f4ef5
A362434
Numbers that can be written as A000045(i) + j^2 for i,j>=0 in 4 ways.
[ "17", "5185", "1669265", "537497857", "173072640401", "55728852710977", "17944517500293905", "5778078906241926145", "1860523463292399924497", "599082777101246533761601", "192902793703138091471310737", "62114100489633364207228295425", "20000547454868240136636039815825", "6440114166367083690632597592399937" ]
[ "nonn" ]
29
1
1
[ "A000045", "A362409", "A362434", "A362503" ]
null
Robert Israel, Apr 21 2023
2025-05-20T12:43:53
oeisdata/seq/A362/A362434.seq
ff352e86f95b5fafe3e83b93839e24a4
A362435
a(1) = 18; thereafter a(n) = a(n-1) + difference between first two digits of a(n-1).
[ "18", "25", "28", "34", "35", "37", "41", "44", "44", "44", "44", "44", "44", "44", "44", "44", "44", "44", "44", "44", "44", "44", "44", "44", "44", "44", "44", "44", "44", "44", "44", "44", "44", "44", "44", "44", "44", "44", "44", "44", "44", "44", "44", "44", "44", "44", "44", "44", "44", "44", "44", "44", "44" ]
[ "nonn", "easy" ]
11
1
1
[ "A006507", "A232485", "A362435" ]
null
N. J. A. Sloane, Apr 21 2023
2024-08-04T11:16:15
oeisdata/seq/A362/A362435.seq
e39b380f5ff844fb19981cffcfa65015
A362436
Write out the sequence of squares, 1, 4, 9, 16, ..., then starting with the 16, successively delete the digits of the triangular numbers 1, 3, 6, 10, ...
[ "1", "4", "9", "6", "25", "6", "49", "4", "81", "0", "121", "144", "169", "196", "225", "256", "289", "324", "361", "400", "441", "484", "529", "576", "625", "676", "729", "784", "841", "900", "961", "1024", "1089", "16", "1225", "1296", "1369", "1444", "15", "1600", "1681", "1764", "1849", "1936", "2025", "2116", "2209", "2304", "2401", "2500", "2601", "2704", "9", "2916", "3025", "31", "3249", "3364", "3481", "3600", "3721", "3844", "3969", "4096" ]
[ "nonn", "base" ]
3
1
2
null
null
N. J. A. Sloane, Apr 21 2023
2023-04-21T13:33:21
oeisdata/seq/A362/A362436.seq
bd7759aa63e261104974b4519a4a903f
A362437
a(n) = n + Scrabble score of n.
[ "13", "4", "8", "11", "11", "15", "16", "15", "17", "13", "13", "20", "24", "24", "25", "28", "30", "29", "30", "27", "32", "36", "40", "43", "43", "47", "48", "47", "49", "45", "42", "46", "50", "53", "53", "57", "58", "57", "59", "55", "51", "55", "59", "62", "62", "66", "67", "66", "68", "64", "64", "68", "72", "75", "75", "79", "80", "79", "81", "77", "75", "79", "83", "86", "86", "90", "91", "90", "92", "88", "83", "87", "91" ]
[ "nonn" ]
8
0
1
[ "A113172", "A362437" ]
null
N. J. A. Sloane, Apr 21 2023
2023-04-22T10:28:44
oeisdata/seq/A362/A362437.seq
ac5d1fb1883b4416a4ec7f031ec070d5
A362438
a(n) = n^2 + 2^(n-1).
[ "2", "6", "13", "24", "41", "68", "113", "192", "337", "612", "1145", "2192", "4265", "8388", "16609", "33024", "65825", "131396", "262505", "524688", "1049017", "2097636", "4194833", "8389184", "16777841", "33555108", "67109593", "134218512", "268436297", "536871812", "1073742785", "2147484672", "4294968385", "8589935748", "17179870409", "34359739664", "68719478105", "137438954916" ]
[ "nonn", "easy" ]
17
1
1
[ "A001580", "A362438" ]
null
N. J. A. Sloane, Apr 21 2023
2025-04-19T11:54:04
oeisdata/seq/A362/A362438.seq
47f2b696a9bcc462da476c257bc2a9df
A362439
a(n) = (number of letters in n in French) + (number of letters in n in German).
[ "8", "6", "8", "9", "10", "8", "8", "10", "8", "8", "7", "7", "10", "14", "16", "14", "13", "15", "15", "15", "12", "22", "23", "24", "25", "23", "23", "25", "23", "23", "13", "23", "24", "25", "26", "24", "24", "25", "24", "24", "15", "25", "26", "27", "28", "26", "26", "28", "26", "26", "16", "26", "27", "28", "29", "27", "27", "29", "27", "27", "15", "25", "26", "27", "28", "26", "26", "28", "26", "26", "18" ]
[ "nonn", "word" ]
3
0
1
[ "A007208", "A167507", "A362439" ]
null
N. J. A. Sloane, Apr 21 2023
2023-04-21T23:58:25
oeisdata/seq/A362/A362439.seq
364f12693f1f14ab31525520399df3cb
A362440
Aliqout sequence starting at 841.
[ "841", "30", "42", "54", "66", "78", "90", "144", "259", "45", "33", "15", "9", "4", "3", "1", "0" ]
[ "nonn", "fini", "full" ]
7
1
1
[ "A001065", "A008885", "A070015", "A362440" ]
null
N. J. A. Sloane, Apr 22 2023
2023-10-16T11:13:59
oeisdata/seq/A362/A362440.seq
81dbbb32981b900ab73468eb60b88292
A362441
a(1) = 6; thereafter a(n) = smallest number with a(n-1) letters in British English.
[ "6", "11", "23", "124", "113323371373" ]
[ "nonn", "word" ]
3
1
1
[ "A005589", "A362123", "A362441", "A362442" ]
null
N. J. A. Sloane, Apr 22 2023
2023-04-22T13:06:47
oeisdata/seq/A362/A362441.seq
36a65a75a98b8d21059c39c204969747
A362442
a(1) = 6; thereafter a(n) = smallest number with a(n-1) letters in American English.
[ "6", "11", "23", "323", "1103323373373373373373373373373" ]
[ "nonn", "word", "more" ]
14
1
1
[ "A005589", "A362123", "A362441", "A362442" ]
null
N. J. A. Sloane, Apr 22 2023
2023-04-23T07:28:03
oeisdata/seq/A362/A362442.seq
14405f2f764c64a48c863dda16fad267
A362443
Numbers k with property that the set of letters in the English name for k does not contain two letters that are adjacent in the alphabet.
[ "0", "2", "3", "4", "6", "7", "9", "10", "11", "19", "20", "23", "29", "40", "42", "50", "52", "90", "99" ]
[ "nonn", "word", "fini", "full" ]
11
1
2
[ "A073029", "A362443" ]
null
N. J. A. Sloane, Apr 22 2023
2023-04-23T07:27:51
oeisdata/seq/A362/A362443.seq
39b0d792333ba5e45b1f8c92c2dda3a1
A362444
a(1) = 1906; thereafter, regard a(n) as a decimal number, and convert it to base 16 (i.e. hexadecimal).
[ "1906", "772", "304", "130", "82", "52", "34", "22", "16", "10" ]
[ "nonn", "base", "fini", "full" ]
3
1
1
null
null
N. J. A. Sloane, Apr 22 2023
2023-04-22T19:02:15
oeisdata/seq/A362/A362444.seq
6bd5b1f7d944503d1804f496f8d36389
A362445
a(n) = (n+1)^4 written in base n.
[ "1111111111111111", "1010001", "100111", "21301", "20141", "15041", "14641", "14641", "14641", "14641", "14641", "14641", "14641", "14641", "14641", "14641", "14641", "14641", "14641", "14641", "14641", "14641", "14641", "14641", "14641", "14641", "14641", "14641", "14641", "14641", "14641", "14641", "14641", "14641", "14641", "14641", "14641" ]
[ "nonn", "base" ]
13
1
1
null
null
N. J. A. Sloane, Apr 22 2023
2024-05-28T18:28:58
oeisdata/seq/A362/A362445.seq
62f22da78086873e6d0a3753b5c75049
A362446
Concatenate the terms of A027750 (omitting spaces and commas), chop into blocks of length 5, then omit any leading zeros.
[ "11213", "12415", "12361", "71248", "13912", "51011", "11234", "61211", "31271", "41351", "51248", "16117", "12369", "18119", "12451", "2013", "72112", "11221", "23123", "46812", "24152", "51213", "26139", "27124", "71428", "12912", "35610", "15301", "31124", "81632", "13113", "31217", "34157", "35123", "46912", "18361", "37121", "93813" ]
[ "nonn", "base", "less" ]
23
1
1
[ "A027750", "A362446" ]
null
N. J. A. Sloane, Apr 22 2023
2024-08-04T16:55:15
oeisdata/seq/A362/A362446.seq
d693bbf164c79a901cf22a98514e1fe8
A362447
Array A(n,k) (n>=0, k>=0) read by antidiagonals: A(n,k) = 1 if the English names for n and k have a letter in common, otherwise 0.
[ "1", "1", "1", "1", "1", "1", "1", "1", "1", "1", "1", "1", "1", "1", "1", "1", "1", "1", "1", "1", "1", "0", "1", "1", "1", "1", "1", "0", "1", "0", "0", "1", "1", "0", "0", "1", "1", "1", "0", "1", "1", "1", "0", "1", "1", "1", "1", "0", "0", "1", "1", "0", "0", "1", "1", "1", "1", "1", "1", "0", "1", "0", "1", "1", "1", "1", "1", "1", "0", "1", "0", "1", "1", "0", "1", "0", "1", "1", "1", "1", "1", "1", "0", "1", "1", "1", "0", "1", "1", "1", "1" ]
[ "nonn", "tabl", "word" ]
20
0
null
[ "A362447", "A362448" ]
null
N. J. A. Sloane, Apr 23 2023
2023-10-17T10:57:28
oeisdata/seq/A362/A362447.seq
293f05a74bec3d2c3d2c45ccbb76ac4d
A362448
Triangle T(n,k) (n >= 0, 0 <= k <= n) read by rows: T(n,k) = 1 if the English names for n and k have a letter in common, otherwise 0.
[ "1", "1", "1", "1", "1", "1", "1", "1", "1", "1", "1", "1", "1", "1", "1", "1", "1", "0", "1", "1", "1", "0", "0", "0", "0", "0", "1", "1", "1", "1", "0", "1", "0", "1", "1", "1", "1", "1", "1", "1", "0", "1", "1", "1", "1", "1", "1", "0", "1", "0", "1", "1", "1", "1", "1", "1", "1", "1", "1", "0", "1", "0", "1", "1", "1", "1", "1", "1", "0", "1", "0", "1", "0", "1", "1", "1", "1", "1", "1", "1", "1", "1", "0", "1", "0", "1", "1", "1", "1", "1", "1" ]
[ "nonn", "tabl", "word" ]
23
0
null
[ "A362447", "A362448" ]
null
N. J. A. Sloane, Apr 23 2023
2023-10-17T10:58:08
oeisdata/seq/A362/A362448.seq
38f7b5b2e966a2e4e8ffe84e70452f33
A362449
Number of length-n American English expressions for positive integers (spaces, hyphens, and commas excluded).
[ "0", "0", "0", "4", "3", "6", "6", "3", "13", "22", "35", "32", "36", "89", "158", "342", "586", "913", "1490", "2365", "3884", "5940", "8629", "12386", "17637", "26311" ]
[ "nonn", "word", "more", "fini", "changed" ]
8
0
4
[ "A121064", "A362449" ]
null
N. J. A. Sloane, Apr 23 2023, based on A121064
2025-07-09T05:01:43
oeisdata/seq/A362/A362449.seq
a5b1420d7618a7558702562f80525736
A362450
Array of numbers read by upward antidiagonals: leading row lists tau(i), i >= 1 (cf. A000005); the following rows give absolute values of differences of previous row.
[ "1", "1", "2", "1", "0", "2", "0", "1", "1", "3", "1", "1", "0", "1", "2", "1", "0", "1", "1", "2", "4", "1", "0", "0", "1", "0", "2", "2", "0", "1", "1", "1", "0", "0", "2", "4", "0", "0", "1", "0", "1", "1", "1", "1", "3", "0", "0", "0", "1", "1", "0", "1", "0", "1", "4", "0", "0", "0", "0", "1", "0", "0", "1", "1", "2", "2", "1", "1", "1", "1", "1", "0", "0", "0", "1", "2", "4", "6", "0", "1", "0", "1", "0", "1", "1", "1", "1", "2", "0", "4", "2" ]
[ "nonn", "tabl" ]
38
1
3
[ "A000005", "A036262", "A051950", "A361897", "A362450" ]
null
N. J. A. Sloane, Apr 30 2023, following a suggestion from Wayman Eduardo Luy and Robert G. Wilson v, Mar 28 2023
2023-09-25T19:30:36
oeisdata/seq/A362/A362450.seq
d4cd98b22f926976942a9cc37afcc0b9
A362451
Gilbreath transform of {sigma(i), i >= 1} (cf. A000203).
[ "1", "2", "1", "1", "1", "2", "1", "0", "0", "1", "0", "4", "0", "3", "0", "2", "1", "1", "1", "0", "1", "1", "1", "1", "1", "1", "1", "0", "1", "1", "1", "1", "1", "0", "1", "0", "1", "0", "1", "1", "0", "1", "0", "1", "0", "1", "0", "1", "0", "1", "0", "1", "0", "1", "0", "0", "0", "1", "0", "1", "0", "1", "0", "1", "1", "0", "1", "1", "1", "0", "1", "1", "0", "1", "0", "0", "0", "1", "0", "1", "0", "0", "0", "1", "0", "0", "0", "1", "0", "0", "0", "1", "0", "0", "0", "1", "1", "1", "1", "0", "1", "1", "1", "0", "0", "0", "0", "1", "0", "0", "0", "0", "1", "1", "1", "0", "1", "1", "1", "68", "0", "14", "0", "7", "0", "2", "0", "21", "1", "8", "1", "9", "1", "0", "1", "18", "0", "7", "0", "2", "0", "1", "0", "13", "1", "1", "1", "2", "1", "1" ]
[ "nonn" ]
83
1
2
[ "A000005", "A000040", "A000203", "A036262", "A361897", "A362450", "A362451", "A362452", "A362456", "A362457", "A362464" ]
null
N. J. A. Sloane, May 03 2023
2025-03-27T02:23:26
oeisdata/seq/A362/A362451.seq
d5d7b103d9e2f0da10b491185446e724
A362452
Gilbreath transform of {sigma(i)-i, i >= 1} (see sum of aliquot parts, A001065).
[ "0", "1", "1", "1", "1", "0", "1", "0", "0", "1", "0", "0", "0", "1", "0", "0", "1", "1", "1", "0", "1", "1", "1", "1", "1", "1", "1", "0", "1", "1", "1", "1", "1", "0", "1", "0", "1", "0", "1", "1", "0", "1", "0", "1", "0", "1", "0", "1", "0", "1", "0", "1", "0", "1", "0", "0", "0", "1", "0", "1", "0", "1", "0", "1", "1", "0", "1", "1", "1", "0", "1", "1", "0", "1", "0", "0", "0", "1", "0", "1", "0", "0", "0", "1", "0", "0", "0", "1", "0", "0", "0", "1", "0", "0", "0", "1", "1", "1", "1", "0", "1", "1", "1", "0", "0", "0", "0", "1", "0", "0", "0", "0", "1", "1", "1", "0", "1", "1", "1", "62", "0", "12", "0", "3", "0", "2", "0", "25", "1" ]
[ "nonn" ]
47
1
120
[ "A000005", "A000040", "A000203", "A001065", "A036262", "A361897", "A362450", "A362451", "A362452", "A362458", "A362459" ]
null
N. J. A. Sloane, May 03 2023
2023-09-27T15:04:18
oeisdata/seq/A362/A362452.seq
53f499caa0abf5cf44e843c86bae1faa
A362453
Indices of 0's in A361897.
[ "4", "8", "9", "10", "11", "13", "14", "15", "16", "20", "24", "28", "41", "42", "43", "44", "45", "46", "47", "49", "50", "51", "52", "53", "54", "55", "56", "57", "58", "59", "60", "61", "62", "63", "64", "68", "72", "73", "74", "75", "77", "78", "79", "80", "81", "82", "83", "85", "86", "87", "89", "90", "91", "93", "94", "95", "96", "100", "104", "105", "106", "107", "109", "110", "111", "112", "116", "120", "121", "122", "123", "125", "126", "127", "132", "136", "137" ]
[ "nonn" ]
9
1
1
[ "A361897", "A362450", "A362453", "A362454" ]
null
N. J. A. Sloane, May 05 2023
2023-05-07T12:53:41
oeisdata/seq/A362/A362453.seq
e3056c264c99626f07806d859f383c53
A362454
Indices of 1's in A361897.
[ "1", "2", "3", "5", "6", "7", "12", "17", "18", "19", "21", "22", "23", "25", "26", "27", "29", "30", "31", "32", "33", "34", "35", "36", "37", "38", "39", "40", "48", "65", "66", "67", "69", "70", "71", "76", "84", "88", "92", "97", "98", "99", "101", "102", "103", "108", "113", "114", "115", "117", "118", "119", "124", "128", "129", "130", "131", "133", "134", "135", "140", "144", "145", "146", "147", "149", "150", "151", "153", "154", "155", "157", "158" ]
[ "nonn" ]
11
1
2
[ "A361897", "A362450", "A362453", "A362454" ]
null
N. J. A. Sloane, May 05 2023
2023-05-07T12:54:02
oeisdata/seq/A362/A362454.seq
215fe4c99d890846b54ec81da6b064c1
A362455
Squarefree positive integers d such that the dimension of the space of cuspidal harmonic automorphic forms for SL(2, O_{-d}) is zero, where O_{-d} is the ring of integers in Q(sqrt(-d)).
[ "1", "2", "3", "5", "6", "7", "11", "15", "19", "23", "31", "39", "47", "71" ]
[ "nonn", "fini", "full", "changed" ]
20
1
2
null
null
Gary W. Adamson and N. J. A. Sloane, May 06 2023, following a suggestion from Roger L. Bagula
2025-07-09T05:01:50
oeisdata/seq/A362/A362455.seq
69723e52291e15f22bce6b151fd6ab42
A362456
Records in A362451.
[ "1", "2", "4", "68", "191", "382", "2772", "5698", "19448", "30406", "146903", "887873" ]
[ "nonn", "more" ]
14
1
2
[ "A362451", "A362456", "A362457" ]
null
N. J. A. Sloane, May 07 2023
2023-09-25T19:28:02
oeisdata/seq/A362/A362456.seq
46791a7d9c4a842074bb2afb2d5747d5
A362457
Indices of records in A362451.
[ "1", "2", "12", "120", "840", "17136", "22680", "45360", "60480", "70560", "433440", "982800" ]
[ "nonn", "more" ]
15
1
2
[ "A362451", "A362456", "A362457" ]
null
N. J. A. Sloane, May 07 2023
2023-09-26T06:08:45
oeisdata/seq/A362/A362457.seq
bd81a1c5b20f82c495cf8aaec5eb7e9c
A362458
Records in A362452.
[ "0", "1", "62", "574", "1105", "4132", "130741", "259750", "326100" ]
[ "nonn", "more" ]
8
1
3
[ "A362452", "A362458", "A362459" ]
null
N. J. A. Sloane, May 07 2023
2023-05-08T11:48:01
oeisdata/seq/A362/A362458.seq
54e8ae4b70cff52b31c5280c1de7ce15
A362459
Indices of records in A362452.
[ "1", "2", "120", "4200", "14400", "17640", "243360", "408240", "669240" ]
[ "nonn", "more" ]
8
1
2
[ "A362452", "A362458", "A362459" ]
null
N. J. A. Sloane, May 07 2023
2023-05-08T11:48:17
oeisdata/seq/A362/A362459.seq
ef8ff578c4c54a325b68c92621664563
A362460
a(n) = A054978(n)/2 if that number is 0 or 1, otherwise -1.
[ "1", "1", "0", "0", "0", "1", "1", "1", "0", "0", "0", "1", "0", "1", "0", "0", "1", "0", "0", "1", "1", "0", "1", "0", "0", "1", "1", "1", "0", "0", "1", "1", "1", "0", "1", "1", "0", "1", "1", "0", "1", "0", "0", "1", "1", "1", "1", "0", "0", "1", "1", "0", "1", "1", "0", "1", "0", "1", "0", "1", "1", "1", "1", "0", "1", "0", "1", "1", "1", "0", "0", "0", "1", "1", "1", "1", "1", "1", "0", "0", "0", "0", "1", "1", "1", "1", "1", "1", "1", "1", "1", "0", "0", "0", "1", "0", "1", "0", "0", "0", "1", "0", "1", "1", "0", "1", "0", "1", "1" ]
[ "nonn" ]
15
1
null
[ "A000939", "A054978", "A362451", "A362460" ]
null
N. J. A. Sloane, May 07 2023
2023-05-10T22:40:40
oeisdata/seq/A362/A362460.seq
eb7f2379dc7bee7d09fc2d5c48eacca3
A362461
Indices of 0's in A362460.
[ "3", "4", "5", "9", "10", "11", "13", "15", "16", "18", "19", "22", "24", "25", "29", "30", "34", "37", "40", "42", "43", "48", "49", "52", "55", "57", "59", "64", "66", "70", "71", "72", "79", "80", "81", "82", "92", "93", "94", "96", "98", "99", "100", "102", "105", "107", "110", "113", "114", "115", "118", "119", "120", "121", "126", "132", "133", "134", "136", "138", "141", "143", "146", "147", "148", "149", "151", "154", "155", "157", "160", "164", "166" ]
[ "nonn" ]
15
1
1
[ "A362460", "A362461", "A362462" ]
null
N. J. A. Sloane, May 07 2023
2023-05-10T22:39:29
oeisdata/seq/A362/A362461.seq
f8333ea7a3db75fb0b76fafeef3f18f7
A362462
Indices of 1's in A362460.
[ "1", "2", "6", "7", "8", "12", "14", "17", "20", "21", "23", "26", "27", "28", "31", "32", "33", "35", "36", "38", "39", "41", "44", "45", "46", "47", "50", "51", "53", "54", "56", "58", "60", "61", "62", "63", "65", "67", "68", "69", "73", "74", "75", "76", "77", "78", "83", "84", "85", "86", "87", "88", "89", "90", "91", "95", "97", "101", "103", "104", "106", "108", "109", "111", "112", "116", "117", "122", "123", "124", "125", "127", "128", "129", "130", "131", "135" ]
[ "nonn" ]
12
1
2
[ "A362460", "A362461", "A362462" ]
null
N. J. A. Sloane, May 07 2023
2023-05-11T05:30:03
oeisdata/seq/A362/A362462.seq
32155187b7189fb50d5104f37951fa79
A362463
Array of numbers read by upward antidiagonals: leading row lists the primes as they were in the 19th century (A008578); the following rows give absolute values of differences of previous row.
[ "1", "1", "2", "0", "1", "3", "1", "1", "2", "5", "0", "1", "0", "2", "7", "1", "1", "2", "2", "4", "11", "0", "1", "2", "0", "2", "2", "13", "1", "1", "2", "0", "0", "2", "4", "17", "0", "1", "2", "0", "0", "0", "2", "2", "19", "1", "1", "2", "0", "0", "0", "0", "2", "4", "23", "0", "1", "2", "0", "0", "0", "0", "0", "2", "6", "29", "1", "1", "0", "2", "2", "2", "2", "2", "2", "4", "2", "31", "0", "1", "0", "0", "2", "0", "2", "0", "2", "0", "4", "6", "37", "1", "1", "0", "0", "0", "2", "2", "0", "0", "2", "2", "2", "4", "41" ]
[ "nonn", "tabl" ]
13
1
3
[ "A008578", "A036262", "A135528", "A362451", "A362463" ]
null
N. J. A. Sloane, May 08 2023
2023-09-27T15:02:30
oeisdata/seq/A362/A362463.seq
3f4ac0b1d1a9a819adc0333e2a920641
A362464
Array of numbers read by upward antidiagonals: leading row lists sigma(i), i >= 1 (cf. A000203); the following rows give absolute values of differences of previous row.
[ "1", "2", "3", "1", "1", "4", "1", "2", "3", "7", "1", "0", "2", "1", "6", "2", "3", "3", "5", "6", "12", "1", "3", "0", "3", "2", "4", "8", "0", "1", "2", "2", "1", "3", "7", "15", "0", "0", "1", "1", "1", "2", "5", "2", "13", "1", "1", "1", "0", "1", "0", "2", "3", "5", "18", "0", "1", "0", "1", "1", "0", "0", "2", "1", "6", "12", "4", "4", "5", "5", "6", "7", "7", "7", "9", "10", "16", "28", "0", "4", "0", "5", "0", "6", "1", "6", "1", "8", "2", "14", "14" ]
[ "nonn", "look", "tabl" ]
16
1
2
[ "A000203", "A362451", "A362464" ]
null
N. J. A. Sloane, May 09 2023
2023-05-10T06:24:07
oeisdata/seq/A362/A362464.seq
6fa203afb4aa3f03c7004b17afd1669e
A362465
a(n) is the least number of 2 or more consecutive signed primes whose sum equals n.
[ "3", "2", "2", "4", "2", "2", "2", "3", "2", "3", "2", "3", "2", "3", "2", "3", "2", "3", "2", "3", "2", "3", "2", "3", "2", "3", "2", "3", "2", "5", "2", "3", "2", "3", "2", "3", "2", "3", "2", "3", "2", "3", "2", "5", "2", "3", "2", "3", "2", "3", "2", "3", "2", "3", "2", "3", "2", "3", "2", "3", "2", "5", "2", "5", "2", "3", "2", "3", "2", "3", "2", "3", "2", "3", "2", "3", "2", "3", "2", "5", "2", "3", "2", "3", "2", "3", "2", "5", "2", "3" ]
[ "nonn" ]
94
0
1
[ "A000040", "A000230", "A001223", "A001632", "A034961", "A034964", "A127334", "A127336", "A127338", "A362465", "A362466" ]
null
Karl-Heinz Hofmann, Apr 21 2023
2023-08-08T18:03:14
oeisdata/seq/A362/A362465.seq
a879514bdfdf22fd2e74534e7ad9790d
A362466
First occurrence of n in A362465 or -1 if n is not a term in A362465.
[ "1", "0", "3", "29", "-1", "521", "-1", "31751", "-1", "47973321", "-1" ]
[ "more", "sign" ]
40
2
3
[ "A362465", "A362466" ]
null
Karl-Heinz Hofmann and Peter Munn, Apr 24 2023
2023-07-10T18:47:32
oeisdata/seq/A362/A362466.seq
6d9dafdf8754f05996e3c0e2997cbfe6
A362467
E.g.f. satisfies log(A(x)) = exp(x / A(x)^2) - 1.
[ "1", "1", "-2", "11", "-97", "1162", "-17401", "309297", "-6284804", "141430821", "-3411964025", "84469913200", "-1971020234987", "31982106694501", "703663251081166", "-131978337454653865", "11571772746664732291", "-879307513026396837470", "64266964230133042267891" ]
[ "sign" ]
49
0
3
[ "A030019", "A334241", "A349598", "A349654", "A349683", "A362467", "A363302" ]
null
Seiichi Manyama, May 26 2023
2023-05-26T15:27:20
oeisdata/seq/A362/A362467.seq
49e3f46c7cf6d880c6d4744f09adf98f
A362468
Number of distinct n-digit suffixes generated by iteratively multiplying an integer by 4, where the initial integer is 1.
[ "3", "11", "52", "252", "1253", "6253", "31254", "156254", "781255", "3906255", "19531256", "97656256", "488281257", "2441406257", "12207031258", "61035156258", "305175781259", "1525878906259", "7629394531260", "38146972656260", "190734863281261", "953674316406261", "4768371582031262", "23841857910156262" ]
[ "nonn", "base", "easy" ]
26
1
1
[ "A020699", "A216099", "A216156", "A216164", "A362468" ]
null
Gil Moses, Apr 21 2023
2023-04-28T09:52:23
oeisdata/seq/A362/A362468.seq
1643027f6e259ab19116bb41a719d7c5
A362469
Sum of the numbers k, 1 <= k <= n, such that phi(k) | n.
[ "1", "3", "3", "10", "3", "16", "3", "29", "3", "16", "3", "67", "3", "16", "3", "82", "3", "64", "3", "62", "3", "16", "3", "208", "3", "16", "3", "51", "3", "97", "3", "205", "3", "16", "3", "269", "3", "16", "3", "247", "3", "64", "3", "74", "3", "16", "3", "660", "3", "49", "3", "51", "3", "202", "3", "185", "3", "16", "3", "481", "3", "16", "3", "502", "3", "133", "3", "51", "3", "49", "3", "1034", "3", "16", "3", "51", "3" ]
[ "nonn", "easy" ]
18
1
2
[ "A000010", "A069932", "A362469", "A378636" ]
null
Wesley Ivan Hurt, Apr 21 2023
2025-01-27T18:39:26
oeisdata/seq/A362/A362469.seq
b2f41fd5e218e5d38f6006125eb55d06
A362470
Number of divisors d of n such that phi(d) | n.
[ "1", "2", "1", "3", "1", "4", "1", "4", "1", "2", "1", "6", "1", "2", "1", "5", "1", "6", "1", "5", "1", "2", "1", "8", "1", "2", "1", "3", "1", "4", "1", "6", "1", "2", "1", "9", "1", "2", "1", "7", "1", "6", "1", "3", "1", "2", "1", "10", "1", "2", "1", "3", "1", "8", "1", "4", "1", "2", "1", "8", "1", "2", "1", "7", "1", "4", "1", "3", "1", "2", "1", "12", "1", "2", "1", "3", "1", "4", "1", "9", "1", "2", "1", "11", "1", "2", "1", "4", "1", "6", "1", "3", "1", "2" ]
[ "nonn", "easy" ]
8
1
2
[ "A000010", "A069932", "A362470" ]
null
Wesley Ivan Hurt, Apr 21 2023
2023-04-23T22:45:37
oeisdata/seq/A362/A362470.seq
31c7092e6953394a8e3393e4c9689665
A362471
a(n) is the smallest number of 1's used in expressing n as a calculation containing only decimal repunits and operators +, -, * and /.
[ "1", "2", "3", "4", "5", "5", "6", "5", "4", "3", "2", "3", "4", "5", "6", "7", "7", "6", "6", "5", "5", "4", "5", "5", "6", "6", "7", "7", "7", "6", "7", "6", "5", "6", "7", "6", "6", "7", "7", "7", "8", "7", "7", "6", "7", "7", "8", "7", "8", "7", "8", "8", "8", "7", "6", "6", "7", "8", "8", "7", "7", "8", "8", "8", "8", "7", "8", "8", "8", "9", "9", "8", "9", "8", "9", "9", "8", "8", "9", "8", "8", "9", "10", "9", "9", "9", "8", "7", "7" ]
[ "nonn", "base" ]
49
1
2
[ "A002275", "A005245", "A091333", "A133344", "A362471", "A362626" ]
null
Yifan Xie, Haochen Mi and Michael S. Branicky, Apr 21 2023
2023-04-30T02:01:21
oeisdata/seq/A362/A362471.seq
d30c0f123cfe3a4f7791a5ae9ebda7d3
A362472
E.g.f. satisfies A(x) = exp(x + x^3 * A(x)^3).
[ "1", "1", "1", "7", "97", "961", "10201", "177241", "3801505", "80718625", "1887205681", "52896262321", "1648697978401", "54216677033377", "1928791931034697", "75326014326206281", "3159713152034201281", "140373558362282197441", "6632746205445950124385", "333591744669464008432225" ]
[ "nonn" ]
22
0
4
[ "A143768", "A349562", "A362392", "A362472", "A362473", "A362481", "A362490" ]
null
Seiichi Manyama, Apr 21 2023
2025-02-16T08:34:05
oeisdata/seq/A362/A362472.seq
1b21ed70f1fe2fae9ced8712f2412e51
A362473
E.g.f. satisfies A(x) = exp(x + x^4 * A(x)^4).
[ "1", "1", "1", "1", "25", "601", "9001", "105001", "1231441", "24146641", "740098801", "22443260401", "607394284201", "16102368745321", "497289446373721", "19072987370400601", "806135144596672801", "33945128330918599201", "1426006261391514829921", "63478993000497055809121" ]
[ "nonn" ]
13
0
5
[ "A143768", "A349562", "A362393", "A362472", "A362473", "A362482", "A362491" ]
null
Seiichi Manyama, Apr 21 2023
2025-02-16T08:34:05
oeisdata/seq/A362/A362473.seq
66f750aae5eb40db2fbfadc78600fef6
A362474
E.g.f. satisfies A(x) = exp(x + x^2/2 * A(x)^2).
[ "1", "1", "2", "10", "70", "646", "7576", "106744", "1761628", "33361948", "712950616", "16976294776", "445751093800", "12795850109992", "398697898011232", "13401365473319776", "483376669737381136", "18623161719254837008", "763300232417720682784", "33163224556779213475744" ]
[ "nonn" ]
26
0
3
[ "A143768", "A362474", "A362475", "A362478", "A362483", "A362491" ]
null
Seiichi Manyama, Apr 21 2023
2025-02-16T08:34:05
oeisdata/seq/A362/A362474.seq
455b00c2d372fe7c9c4134251942f75e
A362475
E.g.f. satisfies A(x) = exp(x + 3*x^2/2 * A(x)^2).
[ "1", "1", "4", "28", "298", "4186", "74116", "1578340", "39394972", "1127378332", "36411516496", "1310173698736", "51982859674648", "2254757407407064", "106150698182657584", "5390926011965379376", "293782337188718257936", "17100576708082841577232", "1058920120014192744673600" ]
[ "nonn" ]
14
0
3
[ "A143768", "A362380", "A362474", "A362475", "A362483" ]
null
Seiichi Manyama, Apr 21 2023
2025-02-16T08:34:05
oeisdata/seq/A362/A362475.seq
ec272a1e56f878bef07efad8aa7fac1a
A362476
Number of vertex cuts in the n-diagonal intersection graph.
[ "0", "2", "360", "297491", "3972214805675", "129224325071359397", "43529535229249752071113759341113692482719" ]
[ "nonn", "more" ]
11
3
2
[ "A300528", "A362476" ]
null
Eric W. Weisstein, Apr 24 2023
2025-02-16T08:34:05
oeisdata/seq/A362/A362476.seq
def99b2f7181cabf5e9ce4ee412745a1
A362477
E.g.f. satisfies A(x) = exp(x + x^3/6 * A(x)^3).
[ "1", "1", "1", "2", "17", "161", "1351", "12391", "153385", "2388905", "40060781", "708351821", "13861042801", "305141790097", "7339275555067", "188198812659131", "5143808931521681", "150713978752271441", "4718460264313196665", "156524510548008965305", "5474266337362911068161" ]
[ "nonn" ]
16
0
4
[ "A362381", "A362477", "A362490" ]
null
Seiichi Manyama, Apr 21 2023
2025-02-16T08:34:05
oeisdata/seq/A362/A362477.seq
1ebc7c934042eb91d3c21dd69027719f
A362478
E.g.f. satisfies A(x) = exp(x + x^3/3 * A(x)^3).
[ "1", "1", "1", "3", "33", "321", "2841", "31641", "498849", "8979489", "167510961", "3427780401", "80374833441", "2089382321313", "58020408889353", "1721768971537161", "55150870311938241", "1897482353016075201", "69322763655015214689", "2676706914491568918369" ]
[ "nonn" ]
21
0
4
[ "A362390", "A362474", "A362478", "A362490", "A362491" ]
null
Seiichi Manyama, Apr 21 2023
2025-02-16T08:34:05
oeisdata/seq/A362/A362478.seq
cb5815389b1a82dbbf3078e1c44b59f7
A362479
E.g.f. satisfies A(x) = exp(x + x^3/2 * A(x)^3).
[ "1", "1", "1", "4", "49", "481", "4471", "57751", "1036393", "19939753", "399150541", "9082285741", "237719388721", "6759766432849", "204408880370059", "6672899023062091", "236080878357745681", "8926817568378582481", "357421258163575234873", "15158257732928974255993" ]
[ "nonn" ]
17
0
4
[ "A362391", "A362479", "A362490" ]
null
Seiichi Manyama, Apr 21 2023
2025-02-16T08:34:05
oeisdata/seq/A362/A362479.seq
bc0e75353f0294582265ba4f5bbc33e3
A362480
E.g.f. satisfies A(x) = exp(x - x^2 * A(x)^2).
[ "1", "1", "-1", "-17", "-47", "961", "14191", "-35825", "-4258463", "-46744703", "1252890271", "49630926511", "61171154353", "-41944148256191", "-1033550755723121", "24977027757497551", "2117415434541888961", "20487158235798909697", "-3240242006475108681665", "-146763820123398901335185" ]
[ "sign" ]
16
0
4
[ "A143768", "A362480", "A362481", "A362482", "A362492" ]
null
Seiichi Manyama, Apr 21 2023
2025-02-16T08:34:05
oeisdata/seq/A362/A362480.seq
553dd02da0b1c56b9f61f51bf3a6e5f8
A362481
E.g.f. satisfies A(x) = exp(x - x^3 * A(x)^3).
[ "1", "1", "1", "-5", "-95", "-959", "-5159", "69721", "3113377", "64493857", "654012721", "-13761498959", "-1013114081759", "-32273321679455", "-492845589685175", "13357113599586121", "1410278045569310401", "61239473424756703681", "1270682827211021594977", "-40402942687262364034463" ]
[ "sign" ]
13
0
4
[ "A362430", "A362472", "A362480", "A362481", "A362482" ]
null
Seiichi Manyama, Apr 21 2023
2025-02-16T08:34:05
oeisdata/seq/A362/A362481.seq
56780e56746e28d31eec9b33a0f9fd7f
A362482
E.g.f. satisfies A(x) = exp(x - x^4 * A(x)^4).
[ "1", "1", "1", "1", "-23", "-599", "-8999", "-104999", "-868559", "5246641", "582598801", "21205760401", "571129277401", "11475082596121", "81837031796521", "-7904119577117399", "-596529385424263199", "-28051840646006771999", "-991870986521074646879", "-21837506791918601443679" ]
[ "sign" ]
13
0
5
[ "A362431", "A362473", "A362480", "A362481", "A362482" ]
null
Seiichi Manyama, Apr 21 2023
2025-02-16T08:34:05
oeisdata/seq/A362/A362482.seq
2d3b89c4b235424f4cac7285c114a7da
A362483
Square array T(n,k), n >= 0, k >= 0, read by antidiagonals downwards, where T(n,k) = n! * Sum_{j=0..floor(n/2)} (k/2)^j * (2*j+1)^(n-j-1) / (j! * (n-2*j)!).
[ "1", "1", "1", "1", "1", "1", "1", "1", "2", "1", "1", "1", "3", "10", "1", "1", "1", "4", "19", "70", "1", "1", "1", "5", "28", "169", "646", "1", "1", "1", "6", "37", "298", "2041", "7576", "1", "1", "1", "7", "46", "457", "4186", "30811", "106744", "1", "1", "1", "8", "55", "646", "7081", "74116", "560827", "1761628", "1", "1", "1", "9", "64", "865", "10726", "141901", "1578340", "11957905", "33361948", "1" ]
[ "nonn", "tabl" ]
14
0
9
[ "A000012", "A143768", "A362377", "A362474", "A362475", "A362483", "A362490" ]
null
Seiichi Manyama, Apr 21 2023
2025-02-16T08:34:05
oeisdata/seq/A362/A362483.seq
7135e569a0975ac0793e3d58c62d1d6b
A362484
Irregular table read by rows in which the n-th row consists of all the numbers m such that iphi(m) = n, where iphi is the infinitary totient function A091732.
[ "1", "2", "3", "6", "4", "8", "5", "10", "7", "12", "14", "24", "9", "15", "18", "30", "11", "22", "13", "20", "21", "26", "40", "42", "16", "32", "17", "27", "34", "54", "19", "28", "38", "56", "33", "66", "23", "46", "25", "35", "36", "39", "50", "60", "70", "72", "78", "120", "29", "58", "31", "44", "48", "62", "88", "96", "45", "51", "90", "102", "37", "52", "57", "74", "84", "104", "114", "168" ]
[ "nonn", "tabf" ]
10
1
2
[ "A032447", "A091732", "A162247", "A361966", "A362180", "A362213", "A362484", "A362485" ]
null
Amiram Eldar, Apr 22 2023
2023-04-22T11:38:54
oeisdata/seq/A362/A362484.seq
faf2afb1b41d8c049a294fb9d5f7fa32
A362485
Number of numbers k such that iphi(k) = n, where iphi is the infinitary totient function A091732.
[ "2", "2", "2", "2", "0", "4", "0", "4", "0", "2", "0", "6", "0", "0", "2", "4", "0", "4", "0", "2", "0", "2", "0", "10", "0", "0", "0", "2", "0", "6", "0", "4", "0", "0", "0", "8", "0", "0", "0", "4", "0", "2", "0", "2", "2", "2", "0", "14", "0", "0", "0", "2", "0", "2", "0", "2", "0", "2", "0", "10", "0", "0", "0", "4", "0", "4", "0", "0", "0", "2", "0", "14", "0", "0", "0", "0", "0", "2", "0", "8", "0", "2", "0", "4", "0", "0" ]
[ "nonn" ]
11
1
1
[ "A007814", "A014197", "A063740", "A091732", "A361967", "A362181", "A362484", "A362485", "A362486", "A362487" ]
null
Amiram Eldar, Apr 22 2023
2023-04-22T11:38:56
oeisdata/seq/A362/A362485.seq
7980d4b73bdeb8371d331e3690a0b86f
A362486
Infinitary nontotient numbers: values not in the range of the infinitary totient function iphi (A091732).
[ "5", "7", "9", "11", "13", "14", "17", "19", "21", "23", "25", "26", "27", "29", "31", "33", "34", "35", "37", "38", "39", "41", "43", "47", "49", "50", "51", "53", "55", "57", "59", "61", "62", "63", "65", "67", "68", "69", "71", "73", "74", "75", "76", "77", "79", "81", "83", "85", "86", "87", "89", "91", "93", "94", "95", "97", "98", "99", "101", "103", "105", "107", "109", "110", "111" ]
[ "nonn" ]
10
1
1
[ "A005277", "A005278", "A091732", "A347771", "A362182", "A362484", "A362485", "A362486" ]
null
Amiram Eldar, Apr 22 2023
2023-04-22T11:38:58
oeisdata/seq/A362/A362486.seq
b5ae58f970afc0bc5b344812554b8f01
A362487
Infinitary highly totient numbers: numbers k that have more solutions x to the equation iphi(x) = k than any smaller k, where iphi is the infinitary totient function A091732.
[ "1", "6", "12", "24", "48", "96", "144", "240", "288", "480", "576", "720", "1152", "1440", "2880", "4320", "5760", "8640", "11520", "17280", "34560", "51840", "69120", "103680", "120960", "172800", "207360", "241920", "345600", "362880", "414720", "483840", "725760", "967680", "1209600", "1451520", "1935360", "2419200", "2903040", "3628800" ]
[ "nonn" ]
12
1
2
[ "A091732", "A097942", "A100827", "A361968", "A362183", "A362484", "A362485", "A362486", "A362487", "A362488" ]
null
Amiram Eldar, Apr 22 2023
2023-04-22T11:39:01
oeisdata/seq/A362/A362487.seq
47101e1c212013a32a3c6c83651c67f5
A362488
Record values in A362487.
[ "2", "4", "6", "10", "14", "18", "22", "30", "34", "40", "48", "58", "60", "92", "136", "146", "184", "232", "240", "342", "478", "518", "638", "772", "830", "924", "1080", "1264", "1330", "1340", "1462", "1824", "2132", "2528", "2710", "3224", "3354", "4084", "4672", "4812", "4976", "5912", "6496", "7606", "8230", "8698", "11472", "12354", "16580", "19250" ]
[ "nonn" ]
8
1
1
[ "A101373", "A131934", "A361971", "A362184", "A362484", "A362487", "A362488" ]
null
Amiram Eldar, Apr 22 2023
2023-04-22T10:35:58
oeisdata/seq/A362/A362488.seq
ea34c87152b6a9171cba77f644689ed6
A362489
a(n) is the least number k such that the equation iphi(x) = k has exactly 2*n solutions, or -1 if no such k exists, where iphi is the infinitary totient function A091732.
[ "5", "1", "6", "12", "36", "24", "396", "48", "216", "96", "528", "144", "384", "2784", "432", "240", "1296", "288", "1584", "1800", "480", "1680", "1080", "864", "576", "3240", "2016", "960", "6624", "720", "1152", "7776", "12000", "8448", "5280", "1728", "10752", "2304", "4032", "4800", "6048", "3840", "2160", "5184", "4608", "6336", "1440", "10560", "29568" ]
[ "nonn" ]
11
0
1
[ "A007374", "A063507", "A091732", "A361970", "A362186", "A362484", "A362485", "A362489" ]
null
Amiram Eldar, Apr 22 2023
2023-04-22T11:39:03
oeisdata/seq/A362/A362489.seq
04fc2198dd67b0d216730f9534c27929
A362490
Square array T(n,k), n >= 0, k >= 0, read by antidiagonals downwards, where T(n,k) = n! * Sum_{j=0..floor(n/3)} (k/6)^j * (3*j+1)^(n-2*j-1) / (j! * (n-3*j)!).
[ "1", "1", "1", "1", "1", "1", "1", "1", "1", "1", "1", "1", "1", "2", "1", "1", "1", "1", "3", "17", "1", "1", "1", "1", "4", "33", "161", "1", "1", "1", "1", "5", "49", "321", "1351", "1", "1", "1", "1", "6", "65", "481", "2841", "12391", "1", "1", "1", "1", "7", "81", "641", "4471", "31641", "153385", "1", "1", "1", "1", "8", "97", "801", "6241", "57751", "498849", "2388905", "1" ]
[ "nonn", "tabl" ]
20
0
14
[ "A000012", "A362378", "A362477", "A362478", "A362479", "A362490" ]
null
Seiichi Manyama, Apr 22 2023
2025-02-16T08:34:05
oeisdata/seq/A362/A362490.seq
1d0f98ab3b760031e5a92651d176df88
A362491
E.g.f. satisfies A(x) = exp(x + x^4/4 * A(x)^4).
[ "1", "1", "1", "1", "7", "151", "2251", "26251", "273841", "3281041", "61021801", "1518719401", "38199828151", "905801252071", "21398411003971", "560160675014851", "17260034904184801", "596005144436100001", "21359751419836426321", "773082506262449261521", "28839945213850125032551" ]
[ "nonn" ]
13
0
5
[ "A362473", "A362474", "A362478", "A362491", "A362494" ]
null
Seiichi Manyama, Apr 22 2023
2025-02-16T08:34:05
oeisdata/seq/A362/A362491.seq
e12ed13aa9d3b87d6a88127ea53df6bc
A362492
E.g.f. satisfies A(x) = exp(x - x^2/2 * A(x)^2).
[ "1", "1", "0", "-8", "-38", "106", "3676", "24508", "-296036", "-9149156", "-56500064", "2211573376", "64958496472", "184823374360", "-35372361487280", "-971135892546224", "4364710018963216", "1034808592156017424", "25290798052846014208", "-474242641154857953152", "-49625273567646267051104" ]
[ "sign" ]
15
0
4
[ "A362480", "A362492", "A362493", "A362494" ]
null
Seiichi Manyama, Apr 22 2023
2025-02-16T08:34:05
oeisdata/seq/A362/A362492.seq
c5a52160e562f2c95057c5e2531366d9
A362493
E.g.f. satisfies A(x) = exp(x - x^3/3 * A(x)^3).
[ "1", "1", "1", "-1", "-31", "-319", "-2279", "-4199", "269473", "7155233", "114846641", "920526641", "-18415853279", "-1115017249631", "-31675298017271", "-526379460621559", "2394778195929281", "603748739138745281", "27895091311964499553", "769764386129113157473", "6164705700089328588481" ]
[ "sign" ]
12
0
5
[ "A362478", "A362492", "A362493", "A362494" ]
null
Seiichi Manyama, Apr 22 2023
2025-02-16T08:34:05
oeisdata/seq/A362/A362493.seq
cb769f43aac53edb0be1a38c3efb5589
A362494
E.g.f. satisfies A(x) = exp(x - x^4/4 * A(x)^4).
[ "1", "1", "1", "1", "-5", "-149", "-2249", "-26249", "-251159", "-1443959", "21646801", "1209344401", "35457894451", "817789456771", "14796993881671", "137893562065351", "-4661597156689199", "-372730180154530799", "-16419790692323174879", "-559989133713039523679", "-14492546886670841884949" ]
[ "sign" ]
12
0
5
[ "A362491", "A362492", "A362493", "A362494" ]
null
Seiichi Manyama, Apr 22 2023
2025-02-16T08:34:05
oeisdata/seq/A362/A362494.seq
31a2fce922d3a4c5690be4e10555e4ae
A362495
Total number of blocks containing at least one odd element and at least one even element in all partitions of [n].
[ "0", "0", "1", "3", "13", "54", "262", "1294", "7109", "40367", "248651", "1587414", "10827740", "76494630", "571499993", "4414720825", "35798107309", "299547765240", "2616358573834", "23536296521084", "220030456297349", "2114721297588097", "21046291460160803", "214984439282684504", "2267305399918683232" ]
[ "nonn" ]
66
0
4
[ "A005493", "A124418", "A124425", "A138378", "A362495", "A363434" ]
null
Alois P. Heinz, Jun 05 2023
2023-06-05T10:43:38
oeisdata/seq/A362/A362495.seq
689d5fd445d320e93a432b64ab472c0f
A362496
Square array A(n, k), n, k >= 0, read by upwards antidiagonals; if Newton's method applied to the complex function f(z) = z^3 - 1 and starting from n + k*i reaches or converges to exp(2*r*i*Pi/3) for some r in 0..2, then A(n, k) = r, otherwise A(n, k) = -1 (where i denotes the imaginary unit).
[ "-1", "0", "1", "0", "0", "1", "0", "0", "0", "1", "0", "0", "0", "1", "1", "0", "0", "0", "0", "1", "1", "0", "0", "0", "0", "2", "1", "1", "0", "0", "0", "0", "0", "1", "1", "1", "0", "0", "0", "0", "0", "2", "1", "1", "1", "0", "0", "0", "0", "0", "0", "2", "1", "1", "1", "0", "0", "0", "0", "0", "0", "1", "1", "1", "1", "1", "0", "0", "0", "0", "0", "0", "0", "2", "1", "1", "1", "1", "0", "0", "0", "0", "0", "0", "0", "0", "2", "1", "1", "1", "1" ]
[ "sign", "tabl" ]
9
0
26
[ "A068601", "A362496" ]
null
Rémy Sigrist, Apr 22 2023
2023-04-24T01:31:49
oeisdata/seq/A362/A362496.seq
7e7c5f3e4b56c693f0671f81420b9b47
A362497
Number of vertex cuts in the n X n king graph.
[ "0", "0", "123", "28339", "18789342", "44643324232", "403099624529743", "14155906427456889935", "1954474914497672926679958", "1066985190641731835232802449672", "2310761640741708629486552773058737179", "19893964127975346723685321695844156279621587", "681806978745768672533973487418639830412317470116454" ]
[ "nonn" ]
9
1
3
[ "A286139", "A362497" ]
null
Eric W. Weisstein, Apr 22 2023
2025-02-16T08:34:05
oeisdata/seq/A362/A362497.seq
2b965b9f515356974daab5deb4cf5324
A362498
Number of vertex cuts in the n X n knight graph.
[ "0", "0", "256", "48745", "22577890", "50785004331", "447911805432769", "15359769797452095985" ]
[ "nonn", "more" ]
11
1
3
[ "A290765", "A362498" ]
null
Eric W. Weisstein, Apr 22 2023
2025-02-16T08:34:05
oeisdata/seq/A362/A362498.seq
3cc483f5963df42fd565eb2b40e2f037
A362499
a(n) is the least positive integer that has exactly n anagrams that are semiprimes, or -1 if there is no such integer.
[ "1", "4", "15", "123", "129", "134", "178", "1025", "1148", "1147", "1137", "1145", "1349", "1348", "1357", "10145", "3589", "10258", "10137", "10123", "11269", "10289", "10268", "10247", "10235", "10267", "10234", "10789", "10279", "11378", "10378", "12369", "10349", "10358", "12368", "10357", "12689", "12358", "10459", "12379", "12679", "13489", "12346", "12349", "16789", "12479" ]
[ "nonn", "base", "look" ]
22
0
2
[ "A001358", "A131371", "A362499" ]
null
Robert Israel, Jun 11 2023
2023-06-14T10:34:53
oeisdata/seq/A362/A362499.seq
8f14b70ab9628d0e1c2e817817261a59
A362500
Number of symmetric compositions of n where differences between adjacent parts are in {-1,1}.
[ "1", "1", "1", "1", "2", "2", "1", "3", "3", "2", "3", "4", "2", "5", "6", "3", "5", "7", "5", "8", "8", "8", "8", "12", "10", "12", "14", "15", "16", "21", "17", "23", "24", "27", "28", "37", "34", "43", "43", "51", "51", "66", "63", "80", "78", "97", "97", "122", "116", "150", "146", "183", "179", "229", "220", "277", "276", "344", "337", "430", "413", "528", "516", "652", "635" ]
[ "nonn" ]
9
0
5
[ "A003242", "A016116", "A173258", "A350837", "A362500" ]
null
John Tyler Rascoe, Apr 22 2023
2023-04-23T12:18:03
oeisdata/seq/A362/A362500.seq
ee0ba7e4f9ea92a4f88103a17adb5f2a