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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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A361901
The number of linear extensions of n fork-join DAGs of width 3.
[ "1", "6", "9072", "163459296", "15205637551104", "4847253138540933120", "4144575934565485291192320", "8072771848739175726302071357440", "31871690751871005247875440218598277120", "233637150127891005003834299796206474735124480", "2970126289229822074571543766217262582458754059468800" ]
[ "nonn" ]
14
0
2
[ "A357297", "A361901" ]
null
José E. Solsona, Mar 28 2023
2024-08-02T12:04:04
oeisdata/seq/A361/A361901.seq
769f7b924129587230747167083b13e8
A361902
Least k such that n+A000045(k) is prime, or -1 if no such k exists.
[ "3", "1", "0", "0", "1", "0", "1", "0", "4", "3", "1", "0", "1", "0", "4", "3", "1", "0", "1", "0", "4", "3", "1", "0", "5", "9", "4", "3", "1", "0", "1", "0", "5", "6", "4", "3", "1", "0", "4", "3", "1", "0", "1", "0", "4", "3", "1", "0", "5", "9", "4", "3", "1", "0", "5", "9", "4", "3", "1", "0", "1", "0", "5", "6", "4", "3", "1", "0", "4", "3", "1", "0", "1", "0", "5", "6", "4", "3", "1", "0", "4", "3", "1", "0", "5", "12", "4" ]
[ "sign" ]
30
0
1
[ "A000045", "A067760", "A322004", "A361509", "A361510", "A361902", "A361997", "A361998", "A361999" ]
null
Pontus von Brömssen, Mar 28 2023
2024-12-23T14:53:46
oeisdata/seq/A361/A361902.seq
00fcfc31a990f4c7eba28b696aff95e2
A361903
Numbers k for which sqrt(k/2) divides k and the symmetric representation of sigma(k) has a single part.
[ "2", "8", "18", "32", "72", "128", "162", "200", "288", "392", "450", "512", "648", "800", "882", "968", "1152", "1352", "1458", "1568", "1800", "2048", "2178", "2592", "3042", "3200", "3528", "3872", "4050", "4608", "5000", "5202", "5408", "5832", "6272", "6498", "7200", "7938", "8192", "8712", "9248", "9522", "9800", "10368", "11250", "11552", "12168", "12800", "13122", "14112" ]
[ "nonn" ]
21
1
1
[ "A001105", "A071562", "A174973", "A235791", "A237048", "A237270", "A237271", "A237593", "A250068", "A319796", "A361903" ]
null
Hartmut F. W. Hoft, Mar 28 2023
2024-12-16T22:18:32
oeisdata/seq/A361/A361903.seq
b720778b8a7099268ddbd7cac211fdd2
A361904
Odd numbers k such that for all even divisors d of k^2+1, d^2+1 is a prime number.
[ "1", "3", "5", "45", "65", "175", "277", "345", "435", "573", "673", "695", "715", "875", "955", "985", "1095", "1255", "1405", "1495", "1515", "1845", "1915", "2035", "2135", "2315", "2375", "2525", "2687", "2805", "2837", "2965", "3035", "3665", "3715", "3725", "4185", "4225", "4265", "4345", "4495", "4635", "4865", "5987", "6195", "6205", "6315" ]
[ "nonn" ]
26
1
2
[ "A000203", "A002522", "A193432", "A361904" ]
null
Michel Lagneau, Mar 28 2023
2024-03-18T15:21:07
oeisdata/seq/A361/A361904.seq
4e07020c827849223aca1b6819b009c3
A361905
Numbers k for which sqrt(k/2) divides k and the width at the diagonal of the symmetric representation of sigma(k) equals 1.
[ "2", "8", "18", "32", "50", "98", "128", "162", "200", "242", "338", "392", "512", "578", "722", "882", "968", "1058", "1250", "1352", "1458", "1682", "1922", "2048", "2178", "2312", "2738", "2888", "3042", "3362", "3698", "3872", "4232", "4418", "4802", "5000", "5202", "5408", "5618", "6050", "6498", "6728", "6962", "7442", "7688", "8192", "8450", "8978", "9248", "9522" ]
[ "nonn" ]
11
1
1
[ "A001105", "A004171", "A071562", "A235791", "A237048", "A237270", "A237271", "A237593", "A250068", "A319796", "A320137", "A361905" ]
null
Hartmut F. W. Hoft, Mar 28 2023
2023-05-05T19:38:03
oeisdata/seq/A361/A361905.seq
51e5d8e2d184de0cf7cb3398eb739635
A361906
Number of integer partitions of n such that (length) * (maximum) >= 2*n.
[ "0", "0", "0", "0", "0", "2", "3", "5", "9", "15", "19", "36", "43", "68", "96", "125", "171", "232", "297", "418", "529", "676", "853", "1156", "1393", "1786", "2316", "2827", "3477", "4484", "5423", "6677", "8156", "10065", "12538", "15121", "17978", "22091", "26666", "32363", "38176", "46640", "55137", "66895", "79589", "92621", "111485", "133485" ]
[ "nonn" ]
8
1
6
[ "A000009", "A000041", "A008284", "A027193", "A051293", "A058398", "A067538", "A102627", "A111907", "A116608", "A237752", "A237755", "A237821", "A237824", "A237984", "A268192", "A316413", "A324521", "A326844", "A327482", "A349156", "A360068", "A361848", "A361851", "A361852", "A361853", "A361855", "A361859", "A361906", "A361907" ]
null
Gus Wiseman, Mar 29 2023
2023-04-01T22:03:36
oeisdata/seq/A361/A361906.seq
fc2b5febe728ba613ce8d68bf62b2c51
A361907
Number of integer partitions of n such that (length) * (maximum) > 2*n.
[ "0", "0", "0", "0", "0", "0", "3", "4", "7", "11", "19", "26", "43", "60", "80", "115", "171", "201", "297", "374", "485", "656", "853", "1064", "1343", "1758", "2218", "2673", "3477", "4218", "5423", "6523", "7962", "10017", "12104", "14409", "17978", "22031", "26318", "31453", "38176", "45442", "55137", "65775", "77451", "92533", "111485", "131057" ]
[ "nonn" ]
6
1
7
[ "A000009", "A000041", "A008284", "A027193", "A051293", "A053263", "A058398", "A067538", "A102627", "A111907", "A116608", "A237751", "A237752", "A237754", "A237755", "A237820", "A237821", "A237824", "A237984", "A268192", "A316413", "A324562", "A326622", "A326844", "A327482", "A349156", "A360071", "A361394", "A361848", "A361851", "A361852", "A361853", "A361857", "A361858", "A361859", "A361906", "A361907" ]
null
Gus Wiseman, Mar 29 2023
2023-04-01T22:03:47
oeisdata/seq/A361/A361907.seq
c3f700a0ec84b0536ebeae7cde2c0641
A361908
Positive integers > 1 whose prime indices satisfy (maximum) = 2*(minimum).
[ "6", "12", "18", "21", "24", "36", "48", "54", "63", "65", "72", "96", "105", "108", "133", "144", "147", "162", "189", "192", "216", "288", "315", "319", "324", "325", "384", "432", "441", "455", "481", "486", "525", "567", "576", "648", "715", "731", "735", "768", "845", "864", "931", "945", "972", "1007", "1029", "1152", "1296", "1323", "1403", "1458", "1463" ]
[ "nonn" ]
10
1
1
[ "A001221", "A001222", "A053263", "A055396", "A056239", "A061395", "A067801", "A112798", "A118096", "A237753", "A237820", "A237821", "A361849", "A361853", "A361855", "A361856", "A361858", "A361908", "A361909" ]
null
Gus Wiseman, Apr 05 2023
2025-03-12T08:15:04
oeisdata/seq/A361/A361908.seq
6425b48ea3709e78a14e0c94d67f411d
A361909
Positive integers > 1 whose prime indices satisfy: (maximum) = 2*(length).
[ "3", "14", "21", "35", "49", "52", "78", "117", "130", "152", "182", "195", "228", "273", "286", "325", "338", "342", "380", "429", "455", "464", "507", "513", "532", "570", "637", "696", "715", "798", "836", "845", "855", "950", "988", "1001", "1044", "1160", "1183", "1184", "1197", "1254", "1292", "1330", "1425", "1444", "1482", "1566", "1573", "1624" ]
[ "nonn" ]
7
1
1
[ "A001221", "A001222", "A055396", "A056239", "A061395", "A067538", "A067801", "A106529", "A111907", "A112798", "A118096", "A237752", "A237753", "A237820", "A239959", "A255201", "A316413", "A324521", "A326567", "A326568", "A360005", "A361205", "A361849", "A361853", "A361855", "A361856", "A361907", "A361908", "A361909" ]
null
Gus Wiseman, Apr 05 2023
2023-04-07T08:57:47
oeisdata/seq/A361/A361909.seq
0422bf494c8d134860ab7e0570765773
A361910
Number of set partitions of {1..n} such that the mean of the means of the blocks is (n+1)/2.
[ "1", "2", "3", "7", "12", "47", "99", "430", "1379", "5613", "21416", "127303", "532201", "3133846", "18776715", "114275757", "737859014" ]
[ "nonn", "more" ]
10
1
2
[ "A000110", "A000975", "A007837", "A013580", "A035470", "A038041", "A067538", "A275714", "A275780", "A308037", "A326512", "A326513", "A327475", "A327481", "A361863", "A361864", "A361865", "A361866", "A361910", "A361911" ]
null
Gus Wiseman, Apr 14 2023
2025-05-12T20:18:29
oeisdata/seq/A361/A361910.seq
6faf163bb3d255659bdf7126743e0896
A361911
Number of set partitions of {1..n} with block-medians summing to an integer.
[ "1", "1", "3", "10", "30", "107", "479", "2249", "11173", "60144", "351086", "2171087", "14138253", "97097101", "701820663", "5303701310", "41838047938", "343716647215", "2935346815495", "25999729551523", "238473713427285", "2261375071834708", "22141326012712122", "223519686318676559", "2323959300370456901" ]
[ "nonn" ]
11
1
3
[ "A000110", "A000975", "A007837", "A013580", "A035470", "A038041", "A079309", "A231147", "A275714", "A275780", "A307683", "A308037", "A325347", "A327475", "A327481", "A359893", "A359907", "A360005", "A360457", "A361801", "A361864", "A361865", "A361866", "A361910", "A361911" ]
null
Gus Wiseman, Apr 14 2023
2024-08-26T20:08:14
oeisdata/seq/A361/A361911.seq
15e7639247947442b9a4f4193fd6ddf2
A361912
The number of unlabeled graded posets with n elements.
[ "1", "1", "2", "4", "10", "28", "93", "354", "1621", "9110", "64801", "595976", "7204091", "115561423", "2473540433", "70853213144", "2720354016419", "140170631441858", "9702605436760235", "903309202327818566", "113234129823368903523", "19137461395401601912043", "4366007821745938984134203" ]
[ "nonn" ]
21
0
3
[ "A000112", "A001833", "A223911", "A361912", "A361920", "A361957", "A361959" ]
null
Martin Rubey, Mar 29 2023
2023-04-03T21:09:18
oeisdata/seq/A361/A361912.seq
faabb61c5c5ce6b8f959b34cc3c1d352
A361913
a(n) is the number of steps in the main loop of the Pollard rho integer factorization algorithm for n, with x=2, y=2 and g(x)=x^2-1.
[ "2", "2", "2", "1", "2", "4", "2", "2", "1", "2", "2", "3", "2", "1", "2", "4", "2", "3", "1", "2", "2", "8", "2", "1", "2", "2", "2", "4", "1", "4", "2", "2", "2", "1", "2", "6", "2", "2", "1", "5", "2", "6", "2", "1", "2", "11", "2", "4", "1", "2", "2", "5", "2", "1", "2", "2", "2", "7", "1", "3", "2", "2", "2", "1", "2", "4", "2", "2", "1", "3", "2", "8", "2", "1", "2", "2", "2", "10", "1", "2", "2", "12", "2", "1", "2", "2" ]
[ "nonn" ]
33
2
1
[ "A005563", "A361913" ]
null
Darío Clavijo, Mar 29 2023
2023-07-25T22:43:40
oeisdata/seq/A361/A361913.seq
5c7cecfc1123150acd794a25f0a2a8aa
A361914
Primes that are repunits with three or more digits for exactly one base b >= 2.
[ "7", "13", "43", "73", "127", "157", "211", "241", "307", "421", "463", "601", "757", "1093", "1123", "1483", "1723", "2551", "2801", "2971", "3307", "3541", "3907", "4423", "4831", "5113", "5701", "6007", "6163", "6481", "8011", "9901", "10303", "11131", "12211", "12433", "13807", "14281", "17293", "19183", "19531", "20023", "20593", "21757", "22621", "22651", "23563" ]
[ "nonn", "base", "less" ]
20
1
1
[ "A000005", "A085104", "A220136", "A220627", "A288783", "A326380", "A326385", "A326387", "A361914" ]
null
Bernard Schott, Mar 29 2023
2023-04-23T23:44:09
oeisdata/seq/A361/A361914.seq
a9198d9800da55e172ce5f32df1f4f43
A361915
a(n) is the smallest prime p such that, for m >= nextprime(p), there are more composites than primes in the range [2, m], where multiples of primes prime(1) through prime(n) are excluded.
[ "13", "113", "1069", "5051", "18553", "44417", "99439", "190921", "356351", "603149", "933073", "1416223", "2044201", "2856559", "3957883", "5379287", "7093217", "9113263", "11693687", "14701529", "18345209", "22758829", "27879563", "33938257", "40808759", "48364003", "57099061", "67292237", "78919781", "92417891" ]
[ "nonn" ]
11
0
1
[ "A000040", "A002808", "A072731", "A097454", "A361915" ]
null
Ya-Ping Lu, Mar 29 2023
2023-06-16T13:43:39
oeisdata/seq/A361/A361915.seq
d2a6ddbaad07fa82188db3d125c3960a
A361916
a(n) = n! * Sum_{k=0..floor(n/2)} (-1)^k * (k+1)^(k-1) / (k! * (n-2*k)!).
[ "1", "1", "-1", "-5", "25", "161", "-1409", "-12221", "158705", "1733185", "-30136769", "-397326709", "8696945929", "134416055905", "-3555479651905", "-63044502191789", "1957884163020001", "39178556553643649", "-1398250387206450305", "-31169265056007817445", "1257498026543130033401" ]
[ "sign", "easy" ]
34
0
4
[ "A105785", "A361916", "A361917", "A362522" ]
null
Seiichi Manyama, Apr 24 2023
2025-02-16T08:34:05
oeisdata/seq/A361/A361916.seq
7df26b7eb4014855a12ef11f21cfadce
A361917
a(n) = n! * Sum_{k=0..floor(n/3)} (-1)^k * (k+1)^(k-1) / (k! * (n-3*k)!).
[ "1", "1", "1", "-5", "-23", "-59", "961", "7351", "29905", "-877463", "-9450719", "-52724429", "2282907001", "31742360365", "225092745697", "-12992587010129", "-221436656404319", "-1905297800257199", "137972958868569025", "2784953660339878507", "28177036295775415561", "-2459373614334806266859" ]
[ "sign", "easy" ]
31
0
4
[ "A105785", "A361916", "A361917", "A362523" ]
null
Seiichi Manyama, Apr 24 2023
2025-02-16T08:34:05
oeisdata/seq/A361/A361917.seq
fcef296b23cc975cb51d0255ceca4ad1
A361918
Decimal expansion of the 2019 SI system unit m (meter) in h-bar*c/eV.
[ "5", "0", "6", "7", "7", "3", "0", "7", "1", "6", "1", "5", "6", "3", "9", "5", "7", "7", "3", "1", "3", "9", "2", "7", "9", "4", "7", "7", "4", "5", "2", "7", "4", "1", "7", "7", "5", "3", "2", "1", "8", "4", "7", "6", "8", "5", "8", "8", "0", "7", "4", "4", "6", "6", "5", "9", "8", "9", "9", "8", "7", "2", "5", "8", "1", "0", "3", "5", "8", "5", "0", "2", "4", "1", "4", "5", "6", "1", "3", "1", "2", "9", "1", "3", "7", "1", "3" ]
[ "cons", "nonn", "easy" ]
17
7
1
[ "A003676", "A003678", "A081823", "A254181", "A360750", "A361918" ]
null
Marco Ripà, Apr 24 2023
2023-04-26T10:34:32
oeisdata/seq/A361/A361918.seq
b61c07c7ae71482fc6ccbf8775d48c53
A361919
The number of primes > A000040(n) and <= (A000040(n)^c + 1)^(1/c), where c = 0.567148130202... is defined in A038458.
[ "1", "1", "1", "1", "1", "1", "2", "1", "1", "1", "1", "2", "2", "1", "1", "2", "2", "2", "2", "2", "2", "2", "1", "2", "4", "4", "3", "2", "1", "1", "3", "2", "3", "2", "3", "2", "3", "3", "3", "2", "3", "3", "3", "2", "2", "1", "3", "5", "4", "3", "3", "3", "2", "3", "3", "4", "4", "3", "3", "2", "1", "3", "3", "3", "2", "2", "4", "4", "4", "3", "3", "3", "4", "3", "4", "3", "3", "3", "3", "4", "5", "4", "4", "4", "5", "5" ]
[ "nonn" ]
13
1
7
[ "A000040", "A038458", "A361919" ]
null
Hal M. Switkay, Mar 29 2023
2023-04-01T23:32:03
oeisdata/seq/A361/A361919.seq
dbd2eb19368a44e3f1c8dd0855650916
A361920
Number of unlabeled ranked posets with n elements.
[ "1", "1", "2", "5", "16", "61", "280", "1501", "9394", "68647", "591570", "6108298", "77162708", "1219779207", "24648006828", "647865966973", "22437052221282", "1032905858402302", "63591727342096158", "5258562027225785955", "586001891321599337103", "88241281449605821921186", "17996565026907866304071630" ]
[ "nonn" ]
20
0
3
[ "A000112", "A001833", "A223911", "A361912", "A361920", "A361953", "A361955" ]
null
Martin Rubey, Mar 29 2023
2023-10-30T15:33:22
oeisdata/seq/A361/A361920.seq
863f5f2d295817f766225479ca1f636d
A361921
The number of unlabeled bounded Eulerian posets with n elements.
[ "0", "1", "1", "0", "1", "0", "1", "0", "2", "0", "5", "0", "11" ]
[ "nonn", "hard", "more" ]
9
0
9
null
null
Martin Rubey, Mar 30 2023
2023-03-31T05:00:05
oeisdata/seq/A361/A361921.seq
93200da4cc43d70bba9c26392baaa6e7
A361922
Infinitary phi-practical numbers: numbers m such that each k <= m is a subsum of a the multiset {iphi(d) : d infinitary divisor of m}, where iphi is an infinitary analog of Euler's phi function (A091732).
[ "1", "2", "3", "6", "8", "12", "15", "24", "30", "40", "42", "56", "60", "72", "84", "105", "108", "120", "132", "135", "156", "165", "168", "195", "210", "216", "240", "255", "264", "270", "280", "312", "330", "360", "378", "384", "390", "408", "420", "440", "456", "462", "480", "504", "510", "520", "540", "546", "552", "570", "600", "616", "640", "660", "672", "680", "690" ]
[ "nonn" ]
10
1
2
[ "A077609", "A091732", "A260653", "A286906", "A334901", "A361922" ]
null
Amiram Eldar, Mar 30 2023
2023-03-31T06:56:39
oeisdata/seq/A361/A361922.seq
a08601070db8c19c0561855f727d3c5e
A361923
Number of distinct values obtained when the infinitary totient function (A091732) is applied to the infinitary divisors of n.
[ "1", "1", "2", "2", "2", "2", "2", "2", "2", "2", "2", "4", "2", "2", "4", "2", "2", "2", "2", "4", "4", "2", "2", "4", "2", "2", "4", "4", "2", "4", "2", "2", "4", "2", "4", "4", "2", "2", "4", "4", "2", "4", "2", "4", "4", "2", "2", "4", "2", "2", "4", "4", "2", "4", "4", "4", "4", "2", "2", "8", "2", "2", "4", "4", "4", "4", "2", "4", "4", "4", "2", "4", "2", "2", "4", "4", "4", "4", "2", "4", "2", "2", "2", "7", "4", "2", "4" ]
[ "nonn" ]
9
1
3
[ "A077609", "A091732", "A319696", "A348001", "A361923" ]
null
Amiram Eldar, Mar 30 2023
2023-03-31T06:56:52
oeisdata/seq/A361/A361923.seq
4ab04783d0ba56d884b38234d8671dbf
A361924
Numbers whose infinitary divisors have distinct values of the infinitary totient function iphi (A091732).
[ "1", "3", "4", "5", "7", "9", "11", "12", "13", "15", "16", "17", "19", "20", "21", "23", "25", "27", "28", "29", "31", "33", "35", "36", "37", "39", "41", "43", "44", "45", "47", "48", "49", "51", "52", "53", "55", "57", "59", "60", "61", "63", "64", "65", "67", "68", "69", "71", "73", "75", "76", "77", "79", "80", "81", "83", "85", "87", "89", "91", "92", "93", "95", "97", "99", "100", "101" ]
[ "nonn" ]
13
1
2
[ "A000302", "A003159", "A037445", "A061345", "A077609", "A091732", "A326835", "A348004", "A361923", "A361924" ]
null
Amiram Eldar, Mar 30 2023
2023-03-31T06:57:02
oeisdata/seq/A361/A361924.seq
4ad58ac9fd653ccd8128242c790a7d93
A361925
Infinitary phi-practical (A361922) whose infinitary divisors have distinct values of the infinitary totient function iphi (A091732).
[ "1", "3", "12", "15", "60", "105", "108", "132", "156", "165", "195", "240", "255", "660", "960", "1020", "1140", "1155", "1188", "1380", "1680", "1716", "1728", "1740", "1785", "1860", "1995", "2052", "2145", "2220", "2244", "2415", "2460", "2484", "2496", "2508", "2580", "2640", "2652", "2805", "2820", "2940", "3036", "3045", "3120", "3132", "3135", "3180" ]
[ "nonn" ]
9
1
2
[ "A091732", "A359417", "A359418", "A361922", "A361924", "A361925" ]
null
Amiram Eldar, Mar 30 2023
2023-03-31T06:57:10
oeisdata/seq/A361/A361925.seq
4b3b2aee060d6608d417dc6733e78bd5
A361926
Square array A(n, k) of distinct positive integers, n, k > 0, read and filled by upwards antidiagonals in the greedy way such that A(n, k) is a multiple of A(n, 1).
[ "1", "2", "3", "4", "6", "5", "7", "8", "10", "9", "11", "14", "12", "16", "13", "15", "22", "21", "20", "18", "17", "19", "30", "33", "28", "24", "26", "23", "25", "38", "45", "44", "35", "32", "34", "27", "29", "50", "57", "60", "55", "42", "36", "40", "31", "37", "58", "75", "76", "90", "66", "49", "48", "46", "39", "41", "74", "87", "100", "95", "105", "77", "56", "52", "54", "43" ]
[ "nonn", "tabl" ]
7
1
2
[ "A361748", "A361926", "A361940" ]
null
Rémy Sigrist, Mar 30 2023
2023-04-01T08:50:15
oeisdata/seq/A361/A361926.seq
679aa7cc07dff47101a4227f0876dbd2
A361927
Square array A(n, k) of distinct positive integers, n, k > 0, read and filled by upwards antidiagonals in the greedy way such that A(n, k) is a multiple of A(n, 1) and of A(1, k).
[ "1", "2", "3", "4", "6", "5", "7", "12", "10", "8", "9", "21", "20", "16", "11", "13", "18", "35", "24", "22", "14", "15", "39", "45", "56", "44", "28", "17", "19", "30", "65", "72", "77", "84", "34", "23", "25", "57", "60", "104", "99", "42", "68", "46", "26", "27", "75", "95", "120", "143", "126", "119", "92", "52", "29", "31", "54", "50", "152", "165", "182", "153", "161", "156", "58", "32" ]
[ "nonn", "tabl" ]
7
1
2
[ "A338919", "A361926", "A361927", "A361941" ]
null
Rémy Sigrist, Mar 30 2023
2023-04-01T08:50:09
oeisdata/seq/A361/A361927.seq
17a8ce55c382878bfa73d9171e82472b
A361928
Triangle read by rows: T(n,d) = number of non-adaptive group tests required to identify exactly d defectives among n items.
[ "1", "2", "2", "2", "3", "3", "3", "4", "4", "4", "3", "5", "5", "5", "5", "3", "6", "6", "6", "6", "6", "3", "6", "7", "7", "7", "7", "7", "4", "7", "8", "8", "8", "8", "8", "8", "4", "7", "9", "9", "9", "9", "9", "9", "9", "4", "8", "10", "10", "10", "10", "10", "10", "10", "10", "4", "8", "11", "11", "11", "11", "11", "11", "11", "11", "11", "4", "8", "12", "12", "12", "12", "12", "12", "12", "12", "12", "12", "4", "9", "12", "13", "13", "13", "13", "13", "13", "13", "13", "13", "13", "4", "9", "13", "14", "14", "14", "14", "14", "14", "14", "14", "14", "14", "14", "4", "9" ]
[ "nonn", "tabl" ]
12
2
2
[ "A054961", "A290492", "A361928" ]
null
Arthur O'Dwyer, Mar 30 2023
2023-03-31T14:23:25
oeisdata/seq/A361/A361928.seq
abf1876d5860893724157898fc925e9d
A361929
a(1) = 2; for n > 1, a(n) is the smallest positive integer > 1 not to share a factor with terms a(n-c .. n-1) where c = gcd(n-1,a(n-1)).
[ "2", "3", "2", "3", "2", "3", "5", "2", "3", "7", "2", "3", "5", "2", "3", "7", "2", "3", "5", "2", "3", "7", "2", "3", "5", "11", "2", "3", "2", "3", "5", "2", "3", "7", "2", "3", "5", "2", "3", "7", "2", "3", "5", "2", "3", "7", "2", "3", "5", "2", "3", "7", "2", "3", "5", "11", "2", "3", "2", "3", "5", "2", "3", "7", "2", "3", "5", "2", "3", "7", "11", "2", "3", "2", "5", "7", "2", "3", "5", "2", "3", "7", "2", "3", "5", "11" ]
[ "nonn" ]
31
1
1
[ "A358921", "A361929", "A361931" ]
null
Samuel Harkness, Mar 30 2023
2025-03-26T08:32:22
oeisdata/seq/A361/A361929.seq
8e2737cff6fc0d795298828ce1ffb5b5
A361930
a(n) is the greatest prime p such that p + q^2 + r^3 = prime(n)^4 for some primes q and r.
[ "29", "613", "2389", "14629", "28549", "83227", "130171", "279707", "707131", "923509", "1873867", "2825749", "3418627", "4879669", "7890347", "12116969", "13845473", "20150467", "25411387", "28398229", "38949947", "47458027", "62740901", "88529269", "104060267", "112550869", "131079589", "141157867", "163046969", "260144491", "294499771", "352275349" ]
[ "nonn" ]
13
2
1
[ "A030514", "A361930" ]
null
Zak Seidov and Robert Israel, Mar 30 2023
2023-03-31T14:10:44
oeisdata/seq/A361/A361930.seq
234391843c9a82bfda9f860d5dcf8ae8
A361931
a(n) is the smallest number k such that A361929(k) = prime(n), or -1 if no such prime exists.
[ "1", "2", "7", "10", "26", "177", "508", "13812", "73873", "4638434", "4638435", "1874400183", "114936835817" ]
[ "nonn", "more" ]
14
1
2
[ "A361929", "A361931" ]
null
Samuel Harkness, Mar 30 2023
2023-04-09T05:27:01
oeisdata/seq/A361/A361931.seq
a1d0e08284375fe9580f8c27a8bd2826
A361932
G.f. A(x) satisfies A(x) = 1 + (x * A(x) / (1 - x))^3.
[ "1", "0", "0", "1", "3", "6", "13", "33", "84", "208", "522", "1341", "3476", "9042", "23673", "62426", "165504", "440664", "1178168", "3162357", "8517681", "23013294", "62356329", "169408107", "461366499", "1259311824", "3444497550", "9439766700", "25916832981", "71274793968", "196325540206", "541579442133" ]
[ "nonn" ]
31
0
5
[ "A000245", "A071879", "A213282", "A361932", "A364403" ]
null
Seiichi Manyama, Oct 15 2023
2023-10-15T09:25:48
oeisdata/seq/A361/A361932.seq
cf7ecb7e71de0bc2cd241e443878a27c
A361933
Lexicographically earliest sequence of positive integers such that no three terms a(j), a(j+k), a(j+2k) (for any j and k) form an arithmetic progression in any order.
[ "1", "1", "2", "1", "1", "2", "2", "4", "4", "1", "1", "2", "1", "1", "2", "2", "4", "4", "2", "4", "4", "5", "5", "8", "5", "5", "9", "9", "4", "2", "5", "11", "2", "2", "4", "1", "1", "5", "1", "1", "10", "2", "2", "4", "1", "1", "4", "4", "10", "10", "4", "8", "10", "10", "2", "4", "1", "2", "5", "4", "10", "10", "4", "2", "8", "8", "5", "8", "5", "13", "13", "17", "5", "13", "2", "11", "17", "10", "10", "13", "13" ]
[ "nonn" ]
23
1
3
[ "A229037", "A309890", "A361933" ]
null
Neal Gersh Tolunsky, Mar 30 2023
2024-06-23T22:05:43
oeisdata/seq/A361/A361933.seq
1aeab4baa900dc7d89638d2adde220d6
A361934
Numbers k such that k and k+1 are both primitive Zumkeller numbers (A180332).
[ "82004", "84524", "158235", "516704", "2921535", "5801984", "10846016", "12374144", "12603824", "18738224", "24252074", "24887655", "25691984", "32409530", "33696975", "35356544", "36149295", "41078114", "42541190", "43485584" ]
[ "nonn", "more" ]
4
1
1
[ "A006037", "A083207", "A180332", "A283418", "A328327", "A330872", "A334882", "A361934" ]
null
Amiram Eldar, Mar 31 2023
2023-03-31T07:01:12
oeisdata/seq/A361/A361934.seq
985851ca3516211ecd0dbe3c9c4a940f
A361935
Numbers k such that k and k+1 are both primitive unitary abundant numbers (definition 2, A302574).
[ "2457405145194", "2601523139214", "3320774552094", "3490250769005", "3733421997305", "3934651766045", "3954730124345", "4514767592334", "4553585751714", "4563327473705", "5226433847634" ]
[ "nonn", "more" ]
5
1
1
[ "A034683", "A283418", "A302573", "A302574", "A330872", "A331412", "A361935" ]
null
Amiram Eldar, Mar 31 2023
2023-03-31T07:01:26
oeisdata/seq/A361/A361935.seq
36a025b2a3c2c92c8d925d3eebc4fc8d
A361936
Indices of the squares in the sequence of powerful numbers (A001694).
[ "1", "2", "4", "5", "6", "9", "10", "11", "13", "14", "16", "19", "20", "21", "24", "26", "28", "29", "31", "33", "35", "36", "39", "40", "41", "44", "45", "46", "48", "50", "51", "55", "56", "59", "60", "61", "65", "67", "68", "70", "71", "73", "75", "76", "79", "81", "84", "85", "87", "88", "90", "92", "94", "96", "97", "100", "102", "104", "107", "109", "110", "111", "114", "116", "117", "119", "120" ]
[ "nonn" ]
15
1
2
[ "A000290", "A001694", "A090699", "A119241", "A217038", "A336175", "A361936" ]
null
Amiram Eldar, Mar 31 2023
2024-09-10T14:21:14
oeisdata/seq/A361/A361936.seq
04def4dfeaa01d141d1e5ced851b09bd
A361937
Numbers k with record values of the ratio A000005(k)/A246600(k) between the total number of divisors of k and the number of divisors d of k such that the bitwise OR of k and d is equal to k.
[ "1", "2", "4", "8", "16", "32", "64", "128", "256", "336", "420", "840", "1680", "3360", "6720", "7560", "15120", "30240", "60480", "95760", "120960", "176400", "191520", "257040", "352800", "383040", "514080", "1028160", "1681680", "2056320", "2998800", "3112200", "5525520", "5997600", "6224400", "8353800", "12448800", "16216200", "24897600" ]
[ "nonn", "base" ]
8
1
2
[ "A000005", "A246600", "A307870", "A335832", "A355670", "A359080", "A359082", "A359083", "A361807", "A361937" ]
null
Amiram Eldar, Mar 31 2023
2023-04-10T02:42:02
oeisdata/seq/A361/A361937.seq
089cefffa36bfc7dcb6413050c79c075
A361938
a(0)=1, a(1)=0; a(n) = floor(n/2)*(a(n-1) + a(n-2)).
[ "1", "0", "1", "1", "4", "10", "42", "156", "792", "3792", "22920", "133560", "938880", "6434640", "51614640", "406344960", "3663676800", "32560174080", "326014657920", "3227173488000", "35531881459200", "387590549472000", "4654346740243200", "55461310186867200", "721387883125324800", "9322190319746304000" ]
[ "nonn" ]
36
0
5
[ "A055596", "A361938" ]
null
Davide Oliveri, Mar 31 2023
2023-04-08T00:30:31
oeisdata/seq/A361/A361938.seq
2ad6e6e434c73e4f073b47cda7eee2bd
A361939
Inverse permutation to A361748.
[ "1", "2", "4", "3", "7", "5", "11", "16", "6", "8", "22", "29", "37", "12", "9", "17", "46", "56", "67", "10", "13", "23", "79", "18", "92", "38", "106", "14", "121", "137", "154", "19", "24", "47", "15", "30", "172", "68", "39", "20", "191", "211", "232", "25", "254", "80", "277", "21", "301", "93", "48", "40", "326", "57", "26", "352", "69", "122", "379", "31", "407", "155", "436" ]
[ "nonn" ]
6
1
2
[ "A361748", "A361939" ]
null
Rémy Sigrist, Mar 31 2023
2023-04-01T08:50:24
oeisdata/seq/A361/A361939.seq
1a99a9efefe1b7e9fb9c14eba3f17f88
A361940
Inverse permutation to A361926.
[ "1", "2", "3", "4", "6", "5", "7", "8", "10", "9", "11", "13", "15", "12", "16", "14", "21", "20", "22", "19", "18", "17", "28", "26", "29", "27", "36", "25", "37", "23", "45", "34", "24", "35", "33", "43", "46", "30", "55", "44", "56", "42", "66", "32", "31", "54", "67", "53", "52", "38", "78", "64", "79", "65", "41", "63", "39", "47", "91", "40", "92", "77", "75", "76", "105", "51", "106" ]
[ "nonn" ]
5
1
2
[ "A361926", "A361940" ]
null
Rémy Sigrist, Mar 31 2023
2023-04-01T08:50:36
oeisdata/seq/A361/A361940.seq
a710fbbd5d66c3f67e017509508d7bba
A361941
Inverse permutation to A361927.
[ "1", "2", "3", "4", "6", "5", "7", "10", "11", "9", "15", "8", "16", "21", "22", "14", "28", "17", "29", "13", "12", "20", "36", "19", "37", "45", "46", "27", "55", "30", "56", "66", "67", "35", "18", "78", "79", "91", "23", "92", "105", "42", "106", "26", "24", "44", "120", "121", "136", "58", "137", "54", "153", "57", "154", "25", "38", "65", "171", "39", "172", "190", "191", "77" ]
[ "nonn" ]
5
1
2
[ "A361927", "A361941" ]
null
Rémy Sigrist, Mar 31 2023
2023-04-01T08:50:32
oeisdata/seq/A361/A361941.seq
427872c86cac8f99951c04a3e0a80cf3
A361942
For any number n >= 0 with binary expansion (b_1, ..., b_w), a(n) is the least p > 0 such that b_i = b_{p+i} for i = 1..w-p.
[ "1", "1", "2", "1", "3", "2", "3", "1", "4", "3", "2", "3", "4", "3", "4", "1", "5", "4", "3", "4", "5", "2", "3", "4", "5", "4", "5", "3", "5", "4", "5", "1", "6", "5", "4", "5", "3", "5", "4", "5", "6", "5", "2", "5", "6", "3", "4", "5", "6", "5", "6", "4", "6", "5", "3", "4", "6", "5", "6", "4", "6", "5", "6", "1", "7", "6", "5", "6", "4", "6", "5", "6", "7", "3", "5", "6", "4", "6", "5", "6", "7", "6", "5", "6", "7", "2", "5" ]
[ "nonn", "base" ]
5
0
3
[ "A045690", "A070939", "A091065", "A302291", "A361942" ]
null
Rémy Sigrist, Mar 31 2023
2023-04-01T08:54:12
oeisdata/seq/A361/A361942.seq
6e33904dca9bb3d6e98bf4c5d0983fdc
A361943
a(n) is the least multiple of n whose binary expansion is an abelian square (A272653).
[ "3", "10", "3", "36", "10", "36", "63", "136", "9", "10", "33", "36", "130", "154", "15", "528", "34", "36", "190", "520", "63", "132", "46", "528", "150", "130", "54", "588", "725", "150", "1023", "2080", "33", "34", "630", "36", "222", "190", "156", "520", "615", "588", "43", "132", "45", "46", "235", "528", "147", "150", "51", "156", "53", "54", "165", "2296", "513" ]
[ "nonn", "base" ]
7
1
1
[ "A020330", "A272653", "A361943", "A361944" ]
null
Rémy Sigrist, Mar 31 2023
2023-04-01T08:54:24
oeisdata/seq/A361/A361943.seq
b13de1d3082fa1ad0eaac23fa85cf9a9
A361944
a(n) is the least k > 0 such that the binary expansion of k*n is an abelian square (A272653).
[ "3", "5", "1", "9", "2", "6", "9", "17", "1", "1", "3", "3", "10", "11", "1", "33", "2", "2", "10", "26", "3", "6", "2", "22", "6", "5", "2", "21", "25", "5", "33", "65", "1", "1", "18", "1", "6", "5", "4", "13", "15", "14", "1", "3", "1", "1", "5", "11", "3", "3", "1", "3", "1", "1", "3", "41", "9", "37", "11", "10", "3", "39", "1", "129", "2", "2", "3", "2", "9", "9", "8", "11", "3", "3", "2", "27", "2", "2", "3" ]
[ "nonn", "base" ]
6
1
1
[ "A272653", "A361943", "A361944" ]
null
Rémy Sigrist, Mar 31 2023
2023-04-01T08:54:33
oeisdata/seq/A361/A361944.seq
59b9a034d25af1088cd0125f31de8ed0
A361945
If the ternary expansion of n starts with the digit 1, then replace 2's by 0's and vice versa; if the ternary expansion of n starts with the digit 2, then replace 1's by 0's and vice versa; a(0) = 0.
[ "0", "1", "2", "5", "4", "3", "7", "6", "8", "17", "16", "15", "14", "13", "12", "11", "10", "9", "22", "21", "23", "19", "18", "20", "25", "24", "26", "53", "52", "51", "50", "49", "48", "47", "46", "45", "44", "43", "42", "41", "40", "39", "38", "37", "36", "35", "34", "33", "32", "31", "30", "29", "28", "27", "67", "66", "68", "64", "63", "65", "70", "69", "71", "58", "57", "59", "55", "54" ]
[ "nonn", "base", "easy" ]
12
0
3
[ "A048328", "A122586", "A171960", "A361945" ]
null
Rémy Sigrist, Mar 31 2023
2023-04-02T10:27:43
oeisdata/seq/A361/A361945.seq
ceacd8c8927361a19f6616965bb4400e
A361946
If the base-4 expansion of n starts with the digit 1, then replace 2's by 3's and vice versa; if it starts with the digit 2, then replace 1's by 3's and vice versa; if it starts with the digit 3, then replace 1's by 2's and vice versa; a(0) = 0.
[ "0", "1", "2", "3", "4", "5", "7", "6", "8", "11", "10", "9", "12", "14", "13", "15", "16", "17", "19", "18", "20", "21", "23", "22", "28", "29", "31", "30", "24", "25", "27", "26", "32", "35", "34", "33", "44", "47", "46", "45", "40", "43", "42", "41", "36", "39", "38", "37", "48", "50", "49", "51", "56", "58", "57", "59", "52", "54", "53", "55", "60", "62", "61", "63", "64", "65", "67", "66" ]
[ "nonn", "base" ]
11
0
3
[ "A000695", "A048647", "A057300", "A122587", "A163241", "A361945", "A361946", "A361947" ]
null
Rémy Sigrist, Apr 01 2023
2023-04-02T10:27:48
oeisdata/seq/A361/A361946.seq
8e4ce9d3d7761cb52cb65f61ad5511bc
A361947
If the rightmost nonzero digit in the base-4 expansion of n is the digit 1, then replace 2's by 3's and vice versa; if it is the digit 2, then replace 1's by 3's and vice versa; if it is the digit 3, then replace 1's by 2's and vice versa; a(0) = 0.
[ "0", "1", "2", "3", "4", "5", "14", "11", "8", "13", "10", "7", "12", "9", "6", "15", "16", "17", "50", "35", "20", "21", "62", "43", "56", "29", "58", "39", "44", "25", "54", "47", "32", "49", "34", "19", "52", "53", "46", "27", "40", "61", "42", "23", "28", "57", "38", "31", "48", "33", "18", "51", "36", "37", "30", "59", "24", "45", "26", "55", "60", "41", "22", "63", "64", "65", "194" ]
[ "nonn", "look", "base" ]
10
0
3
[ "A000695", "A048647", "A057300", "A065882", "A163241", "A361945", "A361946", "A361947" ]
null
Rémy Sigrist, Apr 01 2023
2023-04-02T10:06:05
oeisdata/seq/A361/A361947.seq
8cdccd88a93fd7f567bb4a90ceab735d
A361948
Array read by ascending antidiagonals. A(n, k) = Product_{j=0..k-1} binomial((j + 1)*n - 1, n - 1) if n >= 1, and A(0, k) = 1 for all k.
[ "1", "1", "1", "1", "1", "1", "1", "1", "1", "1", "1", "1", "3", "1", "1", "1", "1", "10", "15", "1", "1", "1", "1", "35", "280", "105", "1", "1", "1", "1", "126", "5775", "15400", "945", "1", "1", "1", "1", "462", "126126", "2627625", "1401400", "10395", "1", "1", "1", "1", "1716", "2858856", "488864376", "2546168625", "190590400", "135135", "1", "1" ]
[ "nonn", "tabl" ]
30
0
13
[ "A001147", "A025035", "A025036", "A025037", "A025038", "A025039", "A025040", "A025041", "A048993", "A057599", "A060540", "A060542", "A082368", "A088218", "A097805", "A156289", "A291451", "A291452", "A322252", "A361948", "A370407" ]
null
Peter Luschny, Apr 13 2023
2024-08-15T01:22:38
oeisdata/seq/A361/A361948.seq
ac7bec9992ea541b5f2dd586d330f084
A361949
Triangle read by rows. T(n, k) = binomial(3*n - 1, 3*k - 1).
[ "1", "10", "1", "28", "56", "1", "55", "462", "165", "1", "91", "2002", "3003", "364", "1", "136", "6188", "24310", "12376", "680", "1", "190", "15504", "125970", "167960", "38760", "1140", "1", "253", "33649", "490314", "1352078", "817190", "100947", "1771", "1", "325", "65780", "1562275", "7726160", "9657700", "3124550", "230230", "2600", "1" ]
[ "nonn", "tabl" ]
7
1
2
[ "A060544", "A066802", "A082365", "A228888", "A361949" ]
null
Peter Luschny, Mar 31 2023
2023-04-06T06:33:23
oeisdata/seq/A361/A361949.seq
24d4efc1416cc40c47b33390777bca2b
A361950
Array read by antidiagonals: T(n,k) = n! * Sum_{s} 2^(Sum_{i=1..k-1} s(i)*s(i+1))/(Product_{i=1..k} s(i)!) where the sum is over all nonnegative compositions s of n into k parts.
[ "1", "1", "0", "1", "1", "0", "1", "2", "1", "0", "1", "3", "6", "1", "0", "1", "4", "13", "26", "1", "0", "1", "5", "22", "81", "162", "1", "0", "1", "6", "33", "166", "721", "1442", "1", "0", "1", "7", "46", "287", "1726", "9153", "18306", "1", "0", "1", "8", "61", "450", "3309", "24814", "165313", "330626", "1", "0", "1", "9", "78", "661", "5650", "50975", "494902", "4244481", "8488962", "1", "0" ]
[ "nonn", "tabl" ]
12
0
8
[ "A000007", "A000012", "A000027", "A000684", "A001827", "A001828", "A001829", "A001830", "A028872", "A047863", "A361950", "A361951", "A361952" ]
null
Andrew Howroyd, Mar 31 2023
2023-04-01T15:48:57
oeisdata/seq/A361/A361950.seq
a698b5b99b5a8f10723955dd7269424e
A361951
Triangle read by rows: T(n,k) is the number of labeled weakly graded (ranked) posets with n elements and rank k.
[ "1", "0", "1", "0", "1", "2", "0", "1", "12", "6", "0", "1", "86", "108", "24", "0", "1", "840", "2190", "840", "120", "0", "1", "11642", "55620", "31800", "6840", "720", "0", "1", "227892", "1858206", "1428000", "384720", "60480", "5040", "0", "1", "6285806", "82938828", "80529624", "24509520", "4626720", "584640", "40320" ]
[ "nonn", "tabl" ]
14
0
6
[ "A000007", "A000012", "A000142", "A001831", "A001832", "A001833", "A055531", "A342587", "A361950", "A361951", "A361953" ]
null
Andrew Howroyd, Mar 31 2023
2023-04-01T14:26:14
oeisdata/seq/A361/A361951.seq
20d62b44b11a7b826d0ce7b1d236d2ba
A361952
Array read by antidiagonals: T(n,k) is the number of unlabeled posets with n elements together with a function rk mapping each element to a rank between 1 and k such that whenever v covers w in the poset then rk(v) = rk(w) + 1.
[ "1", "1", "0", "1", "1", "0", "1", "2", "1", "0", "1", "3", "4", "1", "0", "1", "4", "8", "8", "1", "0", "1", "5", "13", "21", "17", "1", "0", "1", "6", "19", "40", "58", "38", "1", "0", "1", "7", "26", "66", "126", "172", "94", "1", "0", "1", "8", "34", "100", "228", "420", "569", "258", "1", "0", "1", "9", "43", "143", "373", "816", "1537", "2148", "815", "1", "0", "1", "10", "53", "196", "571", "1412", "3140", "6342", "9538", "3038", "1", "0" ]
[ "nonn", "tabl" ]
10
0
8
[ "A000007", "A000012", "A000027", "A034856", "A049312", "A137742", "A361950", "A361952", "A361953" ]
null
Andrew Howroyd, Mar 31 2023
2023-04-01T14:27:39
oeisdata/seq/A361/A361952.seq
6b278ac222586e9f1592c7aaf3ef9006
A361953
Triangle read by rows: T(n,k) is the number of unlabeled weakly graded (ranked) posets with n elements and rank k.
[ "1", "0", "1", "0", "1", "1", "0", "1", "3", "1", "0", "1", "8", "6", "1", "0", "1", "20", "30", "9", "1", "0", "1", "55", "145", "66", "12", "1", "0", "1", "163", "745", "465", "111", "15", "1", "0", "1", "556", "4245", "3444", "964", "165", "18", "1", "0", "1", "2222", "27880", "28024", "8618", "1652", "228", "21", "1", "0", "1", "10765", "218058", "259974", "83322", "16569", "2556", "300", "24", "1" ]
[ "nonn", "tabl" ]
12
0
9
[ "A263859", "A361920", "A361951", "A361952", "A361953", "A361954" ]
null
Andrew Howroyd, Mar 31 2023
2023-04-01T14:26:28
oeisdata/seq/A361/A361953.seq
4d88f3d59a5d7f9d4ce612c2dca83241
A361954
Triangle read by rows: T(n,k) is the number of unlabeled connected weakly graded (ranked) posets with n elements and rank k.
[ "1", "0", "1", "0", "2", "1", "0", "4", "5", "1", "0", "10", "23", "8", "1", "0", "27", "107", "56", "11", "1", "0", "88", "557", "388", "98", "14", "1", "0", "328", "3271", "2888", "839", "149", "17", "1", "0", "1460", "22424", "23900", "7512", "1470", "209", "20", "1", "0", "7799", "183273", "226807", "73405", "14715", "2308", "278", "23", "1" ]
[ "nonn", "tabl" ]
10
1
5
[ "A007776", "A342500", "A361953", "A361954", "A361955" ]
null
Andrew Howroyd, Mar 31 2023
2023-04-03T21:09:29
oeisdata/seq/A361/A361954.seq
cb086cca656c7db07db84dff752a232a
A361955
Number of unlabeled connected weakly graded (ranked) posets with n elements.
[ "1", "1", "1", "3", "10", "42", "202", "1146", "7493", "56996", "508609", "5414635", "70214227", "1134439731", "23331152887", "621768153861", "21761221300058", "1009759125475973", "62534859409597022", "5193886959561972984", "580677490292990902682", "87649885799470898359728", "17907726747155924589913398" ]
[ "nonn" ]
8
0
4
[ "A000608", "A361920", "A361953", "A361954", "A361955" ]
null
Andrew Howroyd, Mar 31 2023
2023-04-01T15:48:53
oeisdata/seq/A361/A361955.seq
6cb1365119e13e94419f98d3911415b1
A361956
Triangle read by rows: T(n,k) is the number of labeled tiered posets with n elements and height k.
[ "1", "0", "1", "0", "1", "2", "0", "1", "6", "6", "0", "1", "50", "36", "24", "0", "1", "510", "510", "240", "120", "0", "1", "7682", "10620", "4800", "1800", "720", "0", "1", "161406", "312606", "136920", "47040", "15120", "5040", "0", "1", "4747010", "13439076", "5630184", "1678320", "493920", "141120", "40320", "0", "1", "194342910", "821218110", "319384800", "83963880", "21137760", "5594400", "1451520", "362880" ]
[ "nonn", "tabl" ]
11
0
6
[ "A000142", "A052332", "A222864", "A223911", "A361951", "A361956", "A361957" ]
null
Andrew Howroyd, Apr 02 2023
2023-04-03T21:09:34
oeisdata/seq/A361/A361956.seq
8830d3468e3cc3d2b1a568f6934b00b6
A361957
Triangle read by rows: T(n,k) is the number of unlabeled tiered posets with n elements and height k.
[ "1", "0", "1", "0", "1", "1", "0", "1", "2", "1", "0", "1", "5", "3", "1", "0", "1", "12", "10", "4", "1", "0", "1", "35", "35", "16", "5", "1", "0", "1", "108", "149", "66", "23", "6", "1", "0", "1", "393", "755", "327", "106", "31", "7", "1", "0", "1", "1666", "4736", "1936", "566", "156", "40", "8", "1", "0", "1", "8543", "37394", "14130", "3578", "878", "217", "50", "9", "1" ]
[ "nonn", "tabl" ]
13
0
9
[ "A055192", "A361912", "A361953", "A361956", "A361957", "A361958" ]
null
Andrew Howroyd, Apr 03 2023
2023-04-03T21:09:24
oeisdata/seq/A361/A361957.seq
9e0e9bfc8dd6c65beb00b06f29ed810a
A361958
Triangle read by rows: T(n,k) is the number of connected unlabeled tiered posets with n elements and height k.
[ "1", "0", "1", "0", "2", "1", "0", "4", "3", "1", "0", "10", "10", "4", "1", "0", "27", "34", "16", "5", "1", "0", "88", "146", "66", "23", "6", "1", "0", "328", "739", "326", "106", "31", "7", "1", "0", "1460", "4671", "1932", "566", "156", "40", "8", "1", "0", "7799", "37088", "14104", "3577", "878", "217", "50", "9", "1", "0", "51196", "376524", "128652", "27563", "5740", "1276", "290", "61", "10", "1" ]
[ "nonn", "tabl" ]
10
1
5
[ "A361954", "A361957", "A361958", "A361959" ]
null
Andrew Howroyd, Apr 03 2023
2023-04-03T21:47:55
oeisdata/seq/A361/A361958.seq
52d5640c46e56a1d155ad3d4ce92af58
A361959
Number of connected unlabeled tiered posets with n elements.
[ "1", "1", "1", "3", "8", "25", "83", "330", "1538", "8834", "63723", "591313", "7180087", "115411088", "2472336977", "70840464484", "2720170935989", "140167035897433", "9702508891845883", "903305670556552694", "113233954374954246849", "19137449587197829494989", "4366006746295284220605007" ]
[ "nonn" ]
7
0
4
[ "A361912", "A361958", "A361959" ]
null
Andrew Howroyd, Apr 03 2023
2023-04-03T21:09:05
oeisdata/seq/A361/A361959.seq
f43ffc7750adda46699f51fe2caac74b
A361960
Total semiperimeter of 2-Fuss-Catalan polyominoes of length 2n.
[ "2", "12", "71", "430", "2652", "16576", "104652", "665874", "4263050", "27430260", "177233355", "1149159336", "7473264736", "48725661120", "318403991656", "2084753927898", "13673789668854", "89825336129620", "590901795716925", "3892055708986830", "25664871706721940", "169414775012098560", "1119378775384200240", "7402571891557073400", "48993463632294517752", "324501821324483687856" ]
[ "nonn", "easy" ]
5
1
1
[ "A024482", "A075045", "A361960", "A361961" ]
null
R. J. Mathar, Mar 31 2023
2023-03-31T11:22:52
oeisdata/seq/A361/A361960.seq
3698bb02a0ab2a8d79aa60423e0ff236
A361961
Total semiperimeter of 3-Fuss-Catalan polyominoes of length 3n.
[ "2", "18", "150", "1275", "11033", "96768", "857440", "7658001", "68827440", "621769016", "5640718746", "51355222113", "468976190634", "4293892636600", "39403880112240", "362321464909965", "3337465898598408", "30791007409655928", "284475382593582680", "2631594710532743340", "24372218297220901965", "225958143637966827240" ]
[ "nonn", "easy" ]
6
1
1
[ "A024482", "A078999", "A361960", "A361961" ]
null
R. J. Mathar, Mar 31 2023
2024-06-10T00:11:18
oeisdata/seq/A361/A361961.seq
0d4f00b8b5ccc59c00b324b46a2947b5
A361962
Total number of 2-Fuss-skew paths of semilength n.
[ "2", "14", "118", "1114", "11306", "120534", "1331374", "15103410", "174935250", "2060200670", "24595806758", "296993911690", "3620853162618", "44509749949094", "551065497319006", "6865424096224610", "86005892134892962", "1082728353985352878", "13690429445139361494", "173792202854983764666", "2214092570427696031434" ]
[ "nonn", "easy" ]
5
1
1
[ "A002212", "A361962", "A361963" ]
null
R. J. Mathar, Mar 31 2023
2023-03-31T17:43:41
oeisdata/seq/A361/A361962.seq
df08d734d8aea5fedc397f59ca1de3e8
A361963
Total number of 3-Fuss-skew paths of semilength n
[ "4", "64", "1296", "29888", "745856", "19614464", "535394560", "15026146304", "430901082112", "12570964738048", "371918487789568", "11132402289049600", "336515403043962880", "10258388252467200000", "315006202191320514560", "9734768426532836474880", "302531413305855206490112", "9448885107650550229368832" ]
[ "nonn", "easy" ]
4
1
1
[ "A002212", "A361962", "A361963" ]
null
R. J. Mathar, Mar 31 2023
2023-03-31T17:43:49
oeisdata/seq/A361/A361963.seq
25ddd3373e5a217ec0d6f5ecfdbd4fc3
A361964
Total number of peaks in 2-Fuss-skew paths of semilength n
[ "2", "20", "226", "2696", "33138", "415164", "5270850", "67576208", "872918690", "11343392228", "148120453538", "1941910368280", "25545250484498", "337010368660876", "4457154741645954", "59076597464830240", "784518823873380930", "10435840680299248052", "139030100339736030306", "1854730153008453738408" ]
[ "easy", "nonn" ]
5
1
1
[ "A026378", "A361964", "A361965" ]
null
R. J. Mathar, Mar 31 2023
2023-03-31T17:56:54
oeisdata/seq/A361/A361964.seq
5e4f82cb8d7a52235f4b9e746258cf85
A361965
Total number of peaks in 3-Fuss-skew paths of semilength n
[ "4", "96", "2672", "78848", "2400896", "74568704", "2347934464", "74675511296", "2393372833792", "77176031297536", "2500887165493248", "81372026697351168", "2656708513978580992", "86992366046604165120", "2855701159218522030080", "93950313500933860884480", "3096866628586659248603136" ]
[ "nonn", "easy" ]
4
1
1
[ "A026378", "A361964", "A361965" ]
null
R. J. Mathar, Mar 31 2023
2023-03-31T17:56:36
oeisdata/seq/A361/A361965.seq
369136fac0eef72d06dd1096f0de7350
A361966
Irregular table read by rows in which the n-th row consists of all the numbers m such that uphi(m) = n, where uphi is the unitary totient function (A047994).
[ "1", "2", "3", "6", "4", "5", "10", "7", "12", "14", "8", "9", "15", "18", "30", "11", "22", "13", "20", "21", "26", "42", "24", "16", "17", "34", "19", "28", "38", "33", "66", "23", "46", "25", "35", "36", "39", "50", "60", "70", "78", "27", "54", "29", "40", "58", "31", "44", "48", "62", "32", "45", "51", "90", "102", "37", "52", "57", "74", "84", "114", "41", "55", "82", "110", "43", "56", "86" ]
[ "nonn", "tabf" ]
13
1
2
[ "A032447", "A047994", "A135347", "A162247", "A361966", "A361967", "A361968", "A361969", "A361970", "A361971" ]
null
Amiram Eldar, Apr 01 2023
2023-04-02T08:27:00
oeisdata/seq/A361/A361966.seq
905e71f62f93a7d06b637ed886823b88
A361967
Number of numbers k such that uphi(k) = n, where uphi is the unitary totient function (A047994).
[ "2", "2", "1", "2", "0", "3", "1", "4", "0", "2", "0", "5", "0", "1", "1", "2", "0", "3", "0", "2", "0", "2", "0", "8", "0", "2", "0", "3", "0", "4", "1", "4", "0", "0", "0", "6", "0", "0", "0", "4", "0", "3", "0", "2", "0", "2", "0", "11", "0", "0", "0", "2", "0", "1", "0", "4", "0", "2", "0", "8", "0", "1", "1", "2", "0", "3", "0", "0", "0", "3", "0", "11", "0", "0", "0", "0", "0", "3", "0", "8", "0", "2", "0", "5", "0", "0", "0" ]
[ "nonn" ]
15
1
1
[ "A014197", "A047994", "A135347", "A327837", "A347771", "A361966", "A361967", "A361968", "A361969", "A361970", "A361971" ]
null
Amiram Eldar, Apr 01 2023
2024-12-24T07:30:16
oeisdata/seq/A361/A361967.seq
96189db901d7edc31b9c2a928743d000
A361968
Unitary highly totient numbers: numbers k that have more solutions x to the equation uphi(x) = k than any smaller k, where uphi is the unitary totient function (A047994).
[ "1", "6", "8", "12", "24", "48", "96", "120", "144", "240", "480", "576", "720", "1440", "2880", "4320", "5760", "8640", "10080", "17280", "20160", "30240", "34560", "40320", "60480", "80640", "120960", "241920", "362880", "483840", "725760", "967680", "1209600", "1451520", "2177280", "2419200", "2903040", "3628800", "4354560", "4838400" ]
[ "nonn" ]
12
1
2
[ "A047994", "A097942", "A135347", "A347771", "A361966", "A361967", "A361968", "A361969", "A361970", "A361971" ]
null
Amiram Eldar, Apr 01 2023
2023-04-10T05:14:29
oeisdata/seq/A361/A361968.seq
f0ea8c0e4f014481c908566b49e9c523
A361969
Numbers k with a single solution x to the equation uphi(x) = k, where uphi is the unitary totient function (A047994).
[ "3", "7", "14", "15", "31", "54", "62", "63", "127", "154", "174", "182", "186", "234", "246", "254", "255", "294", "308", "318", "322", "364", "406", "414", "496", "510", "511", "516", "534", "558", "574", "594", "644", "666", "678", "762", "804", "806", "812", "846", "870", "948", "1022", "1023", "1026", "1036", "1074", "1098", "1146", "1148", "1164", "1204", "1246" ]
[ "nonn" ]
11
1
1
[ "A000010", "A000225", "A047994", "A135347", "A361966", "A361967", "A361968", "A361969", "A361970", "A361971" ]
null
Amiram Eldar, Apr 01 2023
2023-04-02T05:56:11
oeisdata/seq/A361/A361969.seq
eba033653e1045b55d0a95ff2f67513e
A361970
a(n) is the least number k such that the equation uphi(x) = k has exactly n solutions, or -1 if no such k exists, where uphi is the unitary totient function (A047994).
[ "5", "1", "2", "6", "8", "12", "36", "156", "24", "552", "168", "48", "96", "420", "120", "192", "3264", "144", "384", "336", "1536", "288", "360", "240", "672", "1200", "3888", "1080", "4896", "1584", "480", "576", "7056", "4992", "864", "1872", "1152", "3120", "960", "2400", "720", "2520", "30960", "2688", "19968", "1680", "1728", "1920", "2016", "2304", "12000" ]
[ "nonn" ]
13
0
1
[ "A007374", "A047994", "A135347", "A347771", "A361966", "A361967", "A361968", "A361969", "A361970", "A361971" ]
null
Amiram Eldar, Apr 01 2023
2023-04-02T08:27:28
oeisdata/seq/A361/A361970.seq
b90cdd701395aea4a129cc7b29e196f1
A361971
Record values in A361967.
[ "2", "3", "4", "5", "8", "11", "12", "14", "17", "23", "30", "31", "40", "64", "85", "95", "119", "147", "152", "207", "232", "257", "283", "344", "421", "469", "645", "956", "1034", "1306", "1578", "1797", "1943", "2304", "2334", "2877", "3217", "3396", "3536", "3973", "4378", "5171", "5457", "5464", "5659", "7586", "8317", "8430", "10609", "12566", "14469" ]
[ "nonn" ]
12
1
1
[ "A131934", "A361966", "A361967", "A361968", "A361971" ]
null
Amiram Eldar, Apr 01 2023
2023-04-10T05:14:51
oeisdata/seq/A361/A361971.seq
2cd734f41f76e35f1adfa3aaa9619c3a
A361972
Decimal expansion of lim_{n->oo} ( Sum_{k=2..n} 1/(k*log(k)) - log(log(n)) ).
[ "7", "9", "4", "6", "7", "8", "6", "4", "5", "4", "5", "2", "8", "9", "9", "4", "0", "2", "2", "0", "3", "8", "9", "7", "9", "6", "2", "0", "6", "5", "1", "4", "9", "5", "1", "4", "0", "6", "4", "9", "9", "9", "5", "9", "0", "8", "8", "2", "8", "0", "4", "9", "6", "8", "9", "0", "1", "5", "1", "2", "0", "9", "5", "0", "1", "4", "8", "1", "7", "8", "5", "8", "9", "6", "0", "6", "8", "7", "5", "6", "6", "6", "9", "6", "6", "1", "4", "7", "7", "7", "6", "2", "7", "3", "3" ]
[ "nonn", "cons" ]
50
0
1
[ "A001620", "A074785", "A241005", "A361972" ]
null
Bernard Schott, Apr 08 2023
2025-03-26T08:31:59
oeisdata/seq/A361/A361972.seq
d16086e98497f4b4db98884e3c509cd7
A361973
Decimal expansion of twice the Champernowne constant.
[ "2", "4", "6", "9", "1", "3", "5", "7", "8", "2", "0", "2", "2", "2", "4", "2", "6", "2", "8", "3", "0", "3", "2", "3", "4", "3", "6", "3", "8", "4", "0", "4", "2", "4", "4", "4", "6", "4", "8", "5", "0", "5", "2", "5", "4", "5", "6", "5", "8", "6", "0", "6", "2", "6", "4", "6", "6", "6", "8", "7", "0", "7", "2", "7", "4", "7", "6", "7", "8", "8", "0", "8", "2", "8", "4", "8", "6", "8", "8", "9", "0", "9", "2", "9", "4", "9", "6", "9", "9", "0", "1", "0", "3", "0", "5", "0", "7", "0", "9", "1", "1", "1", "3", "1", "5", "1", "7", "1", "9", "2", "1", "2", "3", "2", "5", "2", "7", "2", "9", "3", "1" ]
[ "nonn", "base", "easy", "cons" ]
21
0
1
[ "A007376", "A033307", "A361973" ]
null
Seiichi Manyama, Apr 01 2023
2025-02-16T08:34:05
oeisdata/seq/A361/A361973.seq
f18e2f61b4f3a1464c23f42a7d93092d
A361974
(1,2)-block array, B(1,2), of the natural number array (A000027), read by descending antidiagonals.
[ "3", "11", "8", "27", "20", "15", "51", "40", "31", "24", "83", "68", "55", "44", "35", "123", "104", "87", "72", "59", "48", "171", "148", "127", "108", "91", "76", "63", "227", "200", "175", "152", "131", "112", "95", "80", "291", "260", "231", "204", "179", "156", "135", "116", "99", "363", "328", "295", "264", "235", "208", "183", "160", "139", "120", "443", "404" ]
[ "nonn", "tabl" ]
8
1
1
[ "A000027", "A163255", "A333029", "A361974", "A361975", "A361976" ]
null
Clark Kimberling, Apr 01 2023
2023-06-04T23:50:42
oeisdata/seq/A361/A361974.seq
7b3b25756ce2d2c0509727c9568dfecd
A361975
(2,1)-block array, B(2,1), of the natural number array (A000027), read by descending antidiagonals.
[ "4", "7", "16", "12", "23", "36", "19", "32", "47", "64", "28", "43", "60", "79", "100", "39", "56", "75", "96", "119", "144", "52", "71", "92", "115", "140", "167", "196", "67", "88", "111", "136", "163", "192", "223", "256", "84", "107", "132", "159", "188", "219", "252", "287", "324", "103", "128", "155", "184", "215", "248", "283", "320", "359", "400", "124", "151" ]
[ "nonn", "tabl" ]
16
1
1
[ "A000027", "A056537", "A333029", "A361974", "A361975", "A361976" ]
null
Clark Kimberling, Apr 01 2023
2023-06-07T04:40:20
oeisdata/seq/A361/A361975.seq
3da5e42cacb0718954459c218a87ca6c
A361976
(2,2)-block array, B(2,2), of the natural number array (A000027), read by descending antidiagonals.
[ "11", "31", "39", "67", "75", "83", "119", "127", "135", "143", "187", "195", "203", "211", "219", "271", "279", "287", "295", "303", "311", "371", "379", "387", "395", "403", "411", "419", "487", "495", "503", "511", "519", "527", "535", "543", "619", "627", "635", "643", "651", "659", "667", "675", "683", "767", "775", "783", "791", "799", "807", "815", "823" ]
[ "nonn", "tabl" ]
4
1
1
[ "A000027", "A333029", "A361974", "A361975", "A361976" ]
null
Clark Kimberling, Apr 01 2023
2023-04-01T22:04:48
oeisdata/seq/A361/A361976.seq
58984eb736c928b8e8b88adec7e5e368
A361977
a(n) is the largest prime p such that 2^p - 1 <= 10^n.
[ "3", "5", "7", "13", "13", "19", "23", "23", "29", "31", "31", "37", "43", "43", "47", "53", "53", "59", "61", "61", "67", "73", "73", "79", "83", "83", "89", "89", "89", "97", "101", "103", "109", "109", "113", "113", "113", "113", "127", "131", "131", "139", "139", "139", "149", "151", "151", "157", "157", "163", "167", "167", "173", "179", "181", "181", "181", "191", "193" ]
[ "nonn", "easy" ]
33
1
1
[ "A000040", "A000043", "A000668", "A011557", "A067497", "A151799", "A361977" ]
null
Jack Braxton, Apr 02 2023
2023-04-02T11:28:18
oeisdata/seq/A361/A361977.seq
cb33a9627c67daf34b2d791fd5c19493
A361978
Complement of A361337.
[ "1", "2", "3", "4", "5", "6", "7", "8", "9", "11", "12", "13", "14", "15", "16", "17", "18", "19", "21", "22", "23", "24", "26", "27", "28", "29", "31", "32", "33", "34", "35", "36", "37", "38", "39", "41", "42", "43", "44", "46", "47", "48", "49", "51", "53", "57", "61", "62", "63", "64", "66", "67", "68", "71", "72", "73", "74", "75", "76", "77", "79", "81", "82", "83", "84", "86", "88", "89", "91", "92", "93", "94", "97", "98", "99", "111", "112", "113", "114", "116" ]
[ "nonn", "base" ]
32
1
2
[ "A011540", "A034048", "A052382", "A277061", "A361337", "A361978" ]
null
Michael S. Branicky, Apr 02 2023
2023-04-18T05:46:49
oeisdata/seq/A361/A361978.seq
56bd208b1b90d0786a8aab96688c5105
A361979
Expansion of 1 / Sum_{k>=0} x^(k*(2*k - 1)).
[ "1", "-1", "1", "-1", "1", "-1", "0", "1", "-2", "3", "-4", "5", "-5", "4", "-2", "-2", "7", "-13", "19", "-24", "27", "-25", "17", "-2", "-20", "48", "-80", "110", "-132", "137", "-116", "62", "30", "-158", "314", "-479", "622", "-704", "680", "-507", "150", "405", "-1135", "1973", "-2797", "3432", "-3662", "3250", "-1983", "-280", "3540", "-7592", "11977", "-15953" ]
[ "sign" ]
18
0
9
[ "A000384", "A006950", "A106507", "A308806", "A317665", "A322798", "A361979", "A363149", "A363275" ]
null
Ilya Gutkovskiy, May 25 2023
2023-05-26T08:50:25
oeisdata/seq/A361/A361979.seq
c0409e9da5041096310b715703b26e2f
A361980
a(n) is the n-th decimal digit of p(n)/q(n) where p(n) = A002260(n) and q(n) = A004736(n).
[ "1", "5", "0", "3", "0", "0", "0", "6", "0", "0", "0", "0", "0", "0", "0", "6", "0", "0", "3", "0", "0", "2", "3", "0", "0", "6", "0", "0", "0", "1", "0", "0", "0", "0", "0", "0", "1", "0", "2", "6", "0", "0", "3", "0", "0", "0", "2", "0", "8", "3", "0", "0", "6", "0", "0", "0", "0", "3", "0", "8", "0", "0", "0", "0", "0", "0", "3", "1", "0", "4", "0", "4", "6", "0", "0", "3", "0", "0", "3", "6", "7", "0", "5", "0", "0", "3", "0", "0", "6", "0", "0", "5", "5", "0", "6", "0", "6", "0", "4", "0", "0", "0", "0", "0", "0", "6" ]
[ "base", "cons", "easy", "nonn" ]
52
1
2
[ "A002260", "A004736", "A061480", "A361980" ]
null
Jesiah Darnell, Apr 01 2023
2023-04-22T21:48:35
oeisdata/seq/A361/A361980.seq
0595af7532bd5be773ce334e835286c1
A361981
a(1) = 1; a(n) = Sum_{k=2..n} (-1)^k * k^2 * a(floor(n/k)).
[ "1", "4", "-5", "23", "-2", "-29", "-78", "146", "146", "71", "-50", "-302", "-471", "-618", "-393", "1399", "1110", "1110", "749", "49", "490", "127", "-402", "-2418", "-2418", "-2925", "-2925", "-4297", "-5138", "-4463", "-5424", "8912", "10001", "9134", "10359", "10359", "8990", "7907", "9428", "3828", "2147", "3470", "1621", "-1767", "-1767", "-3354", "-5563" ]
[ "sign", "look" ]
18
1
2
[ "A309288", "A359479", "A360390", "A361981", "A361983", "A361986" ]
null
Seiichi Manyama, Apr 02 2023
2023-05-10T04:31:19
oeisdata/seq/A361/A361981.seq
171b309f171f347abb84694c2d68127c
A361982
a(n) = 1 + Sum_{k=2..n} (-1)^k * k * a(floor(n/k)).
[ "1", "3", "0", "8", "3", "-3", "-10", "22", "22", "12", "1", "-23", "-36", "-50", "-35", "93", "76", "76", "57", "17", "38", "16", "-7", "-103", "-103", "-129", "-129", "-185", "-214", "-184", "-215", "297", "330", "296", "331", "331", "294", "256", "295", "135", "94", "136", "93", "5", "5", "-41", "-88", "-472", "-472", "-472", "-421", "-525", "-578", "-578", "-523", "-747", "-690", "-748" ]
[ "sign", "look" ]
18
1
2
[ "A068340", "A332793", "A347030", "A361982", "A361983" ]
null
Seiichi Manyama, Apr 02 2023
2023-04-02T13:22:06
oeisdata/seq/A361/A361982.seq
d7859e6288b7a0a165f533256794dfba
A361983
a(n) = 1 + Sum_{k=2..n} (-1)^k * k^2 * a(floor(n/k)).
[ "1", "5", "-4", "28", "3", "-33", "-82", "174", "174", "74", "-47", "-335", "-504", "-700", "-475", "1573", "1284", "1284", "923", "123", "564", "80", "-449", "-2753", "-2753", "-3429", "-3429", "-4997", "-5838", "-4938", "-5899", "10485", "11574", "10418", "11643", "11643", "10274", "8830", "10351", "3951", "2270", "4034", "2185", "-1687", "-1687", "-3803" ]
[ "sign", "look" ]
21
1
2
[ "A336276", "A347030", "A361982", "A361983", "A361987" ]
null
Seiichi Manyama, Apr 02 2023
2023-05-10T04:31:24
oeisdata/seq/A361/A361983.seq
dffcc4b5e67dabe87afb3104b07b4429
A361984
a(1) = 1, a(2) = 0; a(n) = Sum_{d|n, d < n} (-1)^(n/d) a(d).
[ "1", "0", "-1", "1", "-1", "0", "-1", "2", "0", "0", "-1", "-1", "-1", "0", "1", "4", "-1", "0", "-1", "-1", "1", "0", "-1", "-2", "0", "0", "0", "-1", "-1", "0", "-1", "8", "1", "0", "1", "0", "-1", "0", "1", "-2", "-1", "0", "-1", "-1", "0", "0", "-1", "-4", "0", "0", "1", "-1", "-1", "0", "1", "-2", "1", "0", "-1", "1", "-1", "0", "0", "16", "1", "0", "-1", "-1", "1", "0", "-1", "0", "-1", "0", "0", "-1", "1", "0", "-1", "-4", "0", "0", "-1", "1", "1", "0", "1", "-2", "-1", "0", "1", "-1", "1", "0", "1", "-8", "-1", "0", "0", "0" ]
[ "sign", "mult" ]
17
1
8
[ "A092673", "A309288", "A361984", "A361985", "A361986" ]
null
Seiichi Manyama, Apr 02 2023
2023-05-10T04:31:29
oeisdata/seq/A361/A361984.seq
bda1263d13471e46a79ca71757bda851
A361985
a(1) = 1, a(2) = 1; a(n) = n * Sum_{d|n, d < n} (-1)^(n/d) a(d) / d.
[ "1", "1", "-3", "6", "-5", "-3", "-7", "24", "0", "-5", "-11", "-18", "-13", "-7", "15", "96", "-17", "0", "-19", "-30", "21", "-11", "-23", "-72", "0", "-13", "0", "-42", "-29", "15", "-31", "384", "33", "-17", "35", "0", "-37", "-19", "39", "-120", "-41", "21", "-43", "-66", "0", "-23", "-47", "-288", "0", "0", "51", "-78", "-53", "0", "55", "-168", "57", "-29", "-59", "90", "-61", "-31", "0", "1536", "65", "33", "-67", "-102", "69", "35", "-71", "0", "-73", "-37", "0" ]
[ "sign", "mult" ]
15
1
3
[ "A359479", "A359484", "A361984", "A361985", "A361986" ]
null
Seiichi Manyama, Apr 02 2023
2023-05-10T04:31:33
oeisdata/seq/A361/A361985.seq
8a6e4077b6a7dcb68df75bc38bd1181d
A361986
a(1) = 1, a(2) = 3; a(n) = n^2 * Sum_{d|n, d < n} (-1)^(n/d) a(d) / d^2.
[ "1", "3", "-9", "28", "-25", "-27", "-49", "224", "0", "-75", "-121", "-252", "-169", "-147", "225", "1792", "-289", "0", "-361", "-700", "441", "-363", "-529", "-2016", "0", "-507", "0", "-1372", "-841", "675", "-961", "14336", "1089", "-867", "1225", "0", "-1369", "-1083", "1521", "-5600", "-1681", "1323", "-1849", "-3388", "0", "-1587", "-2209", "-16128", "0", "0", "2601", "-4732", "-2809", "0", "3025", "-10976" ]
[ "sign", "mult" ]
17
1
2
[ "A359485", "A361981", "A361984", "A361985", "A361986" ]
null
Seiichi Manyama, Apr 02 2023
2023-05-10T04:31:46
oeisdata/seq/A361/A361986.seq
68e12178bc1e5eb26fa11571f7348b75
A361987
a(1) = 1; a(n) = n^2 * Sum_{d|n, d < n} (-1)^(n/d) a(d) / d^2.
[ "1", "4", "-9", "32", "-25", "-36", "-49", "256", "0", "-100", "-121", "-288", "-169", "-196", "225", "2048", "-289", "0", "-361", "-800", "441", "-484", "-529", "-2304", "0", "-676", "0", "-1568", "-841", "900", "-961", "16384", "1089", "-1156", "1225", "0", "-1369", "-1444", "1521", "-6400", "-1681", "1764", "-1849", "-3872", "0", "-2116", "-2209", "-18432", "0", "0", "2601", "-5408", "-2809", "0" ]
[ "sign", "mult" ]
28
1
2
[ "A067856", "A332793", "A334657", "A361983", "A361986", "A361987" ]
null
Seiichi Manyama, Apr 02 2023
2023-05-10T04:31:49
oeisdata/seq/A361/A361987.seq
f0f87153e65a7dd3a1b5b44b75fe9cbe
A361988
a(n) is the least prime == 2*a(n-2) mod a(n-1); a(1) = 2, a(2) = 3.
[ "2", "3", "7", "13", "53", "79", "659", "6089", "104831", "955657", "20278459", "103303609", "557074963", "1877832107", "2991982033", "6747646247", "12731610313", "179006226563", "10944843040969", "76971913739909", "98861599821847", "7568563814118343", "492154371117335989", "8381761436622948499", "177001298911316590457", "6919814180414592924821" ]
[ "nonn" ]
9
1
1
[ "A361988", "A362005" ]
null
Robert Israel, Apr 02 2023
2023-04-11T02:07:16
oeisdata/seq/A361/A361988.seq
ce9aeb505d89d4352f894e23d0d3bdfd
A361989
a(n) is the sum of the Fibonacci numbers missing from the dual Zeckendorf representation of n; a(0) = 0, and for n > 0, a(n) = A022290(A035327(A003754(n+1))).
[ "0", "0", "1", "0", "2", "1", "0", "4", "3", "2", "1", "0", "7", "6", "5", "4", "3", "2", "1", "0", "12", "11", "10", "9", "8", "7", "6", "5", "4", "3", "2", "1", "0", "20", "19", "18", "17", "16", "15", "14", "13", "12", "11", "10", "9", "8", "7", "6", "5", "4", "3", "2", "1", "0", "33", "32", "31", "30", "29", "28", "27", "26", "25", "24", "23", "22", "21", "20", "19", "18", "17", "16", "15", "14", "13", "12", "11", "10", "9", "8", "7", "6", "5", "4", "3", "2", "1", "0" ]
[ "nonn", "base", "tabf" ]
30
0
5
[ "A000045", "A003754", "A022290", "A035327", "A072649", "A130312", "A132665", "A194029", "A356771", "A361989" ]
null
Rémy Sigrist, Apr 02 2023
2024-03-21T08:37:08
oeisdata/seq/A361/A361989.seq
51da95a5b515ee1964034670c03e0200
A361990
Numbers that are both the concatenation of a Fibonacci number and a square and the concatenation of a square and a Fibonacci number.
[ "10", "11", "134", "1144", "1440", "1441", "1961", "8121", "14489", "54761", "116641", "144144", "148841", "168121", "313689", "1964181", "3249001", "14932841", "21436921", "21622521", "23164841", "84272489", "89870489", "176475025", "312033961", "591948921", "1326416489", "1392872041", "1493772841", "1877996161", "2120602521", "2129822521", "2165971689" ]
[ "nonn", "base" ]
27
1
1
[ "A000045", "A000290", "A361990" ]
null
Robert Israel, Apr 02 2023
2023-10-19T16:55:43
oeisdata/seq/A361/A361990.seq
291ec33e908c225f96937d9fea27ea38
A361991
Number of prime knotoids in a sphere with n crossings.
[ "0", "1", "2", "8", "24", "121" ]
[ "nonn", "more" ]
14
1
3
[ "A002863", "A361991" ]
null
Lorenzo Sauras Altuzarra, Apr 02 2023
2023-06-11T12:19:53
oeisdata/seq/A361/A361991.seq
3caf2a5de6a29e4fb686c0a62e0f4490
A361992
(1,2)-block array, B(1,2), of the Wythoff array (A035513), read by descending antidiagonals.
[ "3", "8", "11", "21", "29", "16", "55", "76", "42", "24", "144", "199", "110", "63", "32", "377", "521", "288", "165", "84", "37", "987", "1364", "754", "432", "220", "97", "45", "2584", "3571", "1974", "1131", "576", "254", "118", "50", "6765", "9349", "5168", "2961", "1508", "665", "309", "131", "58", "17711", "24476", "13530", "7752", "3948", "1741", "809" ]
[ "nonn", "tabl" ]
10
1
1
[ "A000045", "A001622", "A035513", "A080164", "A361974", "A361992", "A361993", "A361994" ]
null
Clark Kimberling, Apr 04 2023
2023-04-07T02:35:29
oeisdata/seq/A361/A361992.seq
a4e3a910f05ff4eeea4ab756becbc6d6
A361993
(2,1)-block array, B(2,1), of the Wythoff array (A035513), read by descending antidiagonals.
[ "5", "9", "15", "14", "25", "26", "23", "40", "43", "36", "37", "65", "69", "59", "47", "60", "105", "112", "95", "77", "57", "97", "170", "181", "154", "124", "93", "68", "157", "275", "293", "249", "201", "150", "111", "78", "254", "445", "474", "403", "325", "243", "179", "127", "89", "411", "720", "767", "652", "526", "393", "290", "205", "145", "99", "665", "1165" ]
[ "nonn", "tabl" ]
11
1
1
[ "A000045", "A001622", "A035513", "A080164", "A361975", "A361992", "A361993", "A361994" ]
null
Clark Kimberling, Apr 04 2023
2023-06-04T23:50:26
oeisdata/seq/A361/A361993.seq
374db42ef2f4d3c90f95ef68db386b2d
A361994
(2,2)-block array, B(2,1), of the Wythoff array (A035513), read by descending antidiagonals.
[ "14", "37", "40", "97", "105", "69", "254", "275", "181", "95", "665", "720", "474", "249", "124", "1741", "1885", "1241", "652", "325", "150", "4558", "4935", "3249", "1707", "851", "393", "179", "11933", "12920", "8506", "4469", "2228", "1029", "469", "205", "31241", "33825", "22269", "11700", "5833", "2694", "1228", "537", "234", "81790", "88555" ]
[ "nonn", "tabl" ]
10
1
1
[ "A000045", "A001622", "A035513", "A080164", "A361976", "A361992", "A361993", "A361994" ]
null
Clark Kimberling, Apr 04 2023
2023-04-07T17:38:05
oeisdata/seq/A361/A361994.seq
447cb8928ffec1ab95e3e3564ba6b53d
A361995
Order array of A361993, read by descending antidiagonals.
[ "1", "2", "4", "3", "6", "7", "5", "10", "11", "8", "9", "16", "18", "14", "12", "15", "26", "29", "23", "19", "13", "24", "42", "46", "38", "31", "22", "17", "39", "68", "74", "62", "50", "36", "28", "20", "63", "110", "119", "100", "81", "59", "45", "32", "21", "102", "111", "192", "101", "131", "97", "73", "52", "35", "25", "165", "179", "310", "162", "212", "158", "118", "84" ]
[ "nonn", "tabl" ]
8
1
2
[ "A114537", "A163255", "A333029", "A361993", "A361995", "A361996" ]
null
Clark Kimberling, Apr 05 2023
2023-04-07T17:38:16
oeisdata/seq/A361/A361995.seq
c32b9fe250e3faeee7e4adcc1ba9152f
A361996
Order array of A361994, read by descending antidiagonals.
[ "1", "2", "3", "6", "7", "4", "15", "17", "11", "5", "39", "43", "28", "14", "8", "102", "112", "73", "38", "20", "9", "268", "292", "191", "100", "51", "23", "10", "568", "592", "491", "263", "132", "61", "27", "12", "868", "892", "791", "563", "345", "159", "72", "32", "13", "1168", "1192", "1091", "863", "645", "416", "189", "83", "35", "16", "1468", "1492", "1391" ]
[ "nonn", "tabl" ]
12
1
2
[ "A114537", "A163255", "A333029", "A361993", "A361996" ]
null
Clark Kimberling, Apr 05 2023
2023-05-20T15:48:18
oeisdata/seq/A361/A361996.seq
cae2d1fef3f963ff787893a2373cd2ae
A361997
Records in A361902.
[ "3", "4", "5", "9", "12", "15", "24", "1470", "3873", "25224" ]
[ "nonn", "more" ]
8
1
1
[ "A263875", "A361902", "A361997", "A361998" ]
null
Pontus von Brömssen, Apr 02 2023
2023-04-04T22:16:20
oeisdata/seq/A361/A361997.seq
aaeedc1285c98ac02126be34ef1b0b54
A361998
Indices of records in A361902.
[ "0", "8", "24", "25", "85", "91", "121", "153", "175", "6313" ]
[ "nonn", "more" ]
8
1
2
[ "A263874", "A361902", "A361997", "A361998" ]
null
Pontus von Brömssen, Apr 02 2023
2023-04-05T13:31:08
oeisdata/seq/A361/A361998.seq
90b50f147780f0cc3b52fbc1d0daf3fa
A361999
a(n) is the smallest k such that A361902(k) = n, or -1 if no such k exists.
[ "2", "1", "-1", "0", "8", "24", "33", "90", "116", "25", "402", "140", "85", "120", "692", "91", "472", "1240", "369", "762", "694", "551", "3290", "322", "121", "2758", "1164", "321", "778", "3144", "663", "3418", "4684", "721", "8590", "3222", "511", "7424", "5202", "391", "3364", "10392", "531", "9710", "1714", "891", "27116", "11008", "703", "19132", "8898" ]
[ "sign" ]
8
0
1
[ "A260350", "A361902", "A361999" ]
null
Pontus von Brömssen, Apr 02 2023
2023-04-05T13:31:13
oeisdata/seq/A361/A361999.seq
01548118558312f0f84ed63d719de284
A362000
Decimal expansion of the conventional value of watt-90 (W_{90}).
[ "1", "0", "0", "0", "0", "0", "0", "1", "9", "5", "5", "3", "6", "5", "5", "4", "8", "3", "4", "9", "8", "9", "9", "3", "5", "9", "1", "8", "2", "6", "2", "5" ]
[ "cons", "nonn", "easy", "fini", "full" ]
8
1
9
[ "A248508", "A248510", "A361006", "A361010", "A361011", "A362000" ]
null
Marco Ripà, Apr 02 2023
2023-04-23T22:32:28
oeisdata/seq/A362/A362000.seq
d74041b88eba516c495e79885c02bf03