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1999-12-11 03:00:00
2025-07-19 00:40:46
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A364401
a(n) is the number of regions into which three-dimensional Euclidean space is divided by n-1 planes parallel to each face of a regular tetrahedron with edge length n, dividing the edges into unit segments.
[ "1", "15", "65", "174", "365", "661", "1085", "1660", "2409", "3355", "4521", "5930", "7605", "9569", "11845", "14456", "17425", "20775", "24529", "28710", "33341", "38445", "44045", "50164", "56825", "64051", "71865", "80290", "89349", "99065", "109461", "120560", "132385", "144959", "158305", "172446", "187405", "203205", "219869", "237420", "255881", "275275", "295625", "316954" ]
[ "nonn", "easy" ]
56
1
2
[ "A000125", "A153445", "A248598", "A364401" ]
null
Nicolay Avilov, Jul 22 2023
2023-12-02T03:35:52
oeisdata/seq/A364/A364401.seq
dee6aa16ade22411b202910146cb7074
A364402
a(n) = (3*n)!*(10*n)!/((2*n)!*(5*n)!*(6*n)!).
[ "1", "126", "41990", "15967980", "6421422150", "2663825039876", "1127155102890908", "483537022180231320", "209536624110664757830", "91505601042318156186900", "40205863224219682380130740", "17753412284992688334256754280", "7871411119532225034145860092700", "3502017467737750755575471520717480" ]
[ "nonn" ]
31
0
2
[ "A182400", "A211419", "A262732", "A364402" ]
null
Neven Sajko, Jul 22 2023
2023-09-24T09:15:50
oeisdata/seq/A364/A364402.seq
980745b2974ab2fb0c4d0cf5c38087d2
A364403
G.f. A(x) satisfies A(x) = 1 + x^4 * (A(x) / (1 - x))^3.
[ "1", "0", "0", "0", "1", "3", "6", "10", "18", "39", "91", "204", "435", "919", "1992", "4434", "9947", "22215", "49455", "110480", "248505", "561930", "1273610", "2889666", "6566736", "14959083", "34163511", "78182700", "179201199", "411325125", "945512784", "2176710450", "5018195400", "11583688995", "26770164919" ]
[ "nonn" ]
16
0
6
[ "A000245", "A213282", "A361932", "A364403", "A364552" ]
null
Seiichi Manyama, Oct 15 2023
2023-10-15T09:25:51
oeisdata/seq/A364/A364403.seq
e262e3b84fc1221ce406385feceb5998
A364404
Number of (strictly) 1-connected cubic graphs on 2n nodes.
[ "0", "0", "0", "0", "1", "4", "29", "186", "1435", "12671", "131820", "1590900", "21940512", "339723835" ]
[ "nonn", "more" ]
15
1
6
[ "A002851", "A204198", "A204199", "A364404" ]
null
Ed Wynn, Jul 22 2023
2024-06-02T11:05:19
oeisdata/seq/A364/A364404.seq
1424b3083ba4d23b5443e853c33c4490
A364405
Numbers k such that k is never the smallest number which requires the maximum number of steps for the Euclidean algorithm for computing gcd(k,m) for any m > k.
[ "12", "16", "20", "24", "38", "46", "48", "50", "54", "56", "66", "70", "78", "81", "84", "88", "91", "96", "98", "99", "100", "104", "116", "122", "126", "130", "132", "135", "138", "141", "148", "150", "155", "156", "161", "162", "164", "166", "168", "176", "180", "182", "193", "196", "200", "201", "204", "205", "210", "212", "214", "218", "220", "228", "232", "234", "236" ]
[ "nonn" ]
19
1
1
[ "A051010", "A084242", "A364405" ]
null
John Metcalf, Jul 22 2023
2023-08-26T02:52:53
oeisdata/seq/A364/A364405.seq
7cc6ce98eb7760955cda606d55b7d617
A364406
Number of permutations of [n] such that the minimal element of each cycle is also its length.
[ "1", "1", "0", "1", "0", "0", "6", "6", "0", "0", "720", "2160", "9360", "19440", "30240", "3659040", "21772800", "228614400", "1632960000", "11125900800", "73025971200", "1708337433600", "15442053580800", "254260755302400", "3318429200486400", "46929444097536000", "546974781889536000", "7312714579602432000" ]
[ "nonn" ]
23
0
7
[ "A000142", "A007837", "A188431", "A362362", "A364207", "A364277", "A364279", "A364281", "A364283", "A364406" ]
null
Alois P. Heinz, Jul 22 2023
2023-12-05T19:45:17
oeisdata/seq/A364/A364406.seq
9e768db8e46c5fb7209e35287421fe18
A364407
G.f. satisfies A(x) = 1 + x*(1 + 1/A(x)^3).
[ "1", "2", "-6", "42", "-350", "3234", "-31878", "328426", "-3494142", "38093442", "-423344966", "4778162922", "-54621614814", "631114404258", "-7358619459654", "86472788963370", "-1023093071862526", "12177054520248834", "-145700860758056838", "1751559565664348842", "-21145576694586256734" ]
[ "sign" ]
19
0
2
[ "A349310", "A364393", "A364400", "A364407", "A364408", "A364409" ]
null
Seiichi Manyama, Jul 23 2023
2024-03-03T13:47:12
oeisdata/seq/A364/A364407.seq
f08b9aa6c2fdb3b46b4b35c5973b749f
A364408
G.f. satisfies A(x) = 1 + x*(1 + 1/A(x)^4).
[ "1", "2", "-8", "72", "-768", "9072", "-114240", "1502976", "-20414208", "284083968", "-4029438976", "58040074752", "-846682968064", "12483389708288", "-185725854932992", "2784798982701056", "-42039464045854720", "638415031298588672", "-9746180768647217152", "149486708349609050112" ]
[ "sign" ]
13
0
2
[ "A349311", "A364393", "A364407", "A364408", "A364409" ]
null
Seiichi Manyama, Jul 23 2023
2023-07-26T21:00:59
oeisdata/seq/A364/A364408.seq
b75ad3b0148de015d271d0282ef1a210
A364409
G.f. satisfies A(x) = 1 + x*(1 + 1/A(x)^5).
[ "1", "2", "-10", "110", "-1430", "20570", "-315282", "5047350", "-83406510", "1411954610", "-24360750810", "426796726334", "-7572551327430", "135790011411850", "-2457028916693090", "44804882306441990", "-822573909558939998", "15191515999168557410", "-282038057756813698730" ]
[ "sign" ]
18
0
2
[ "A112478", "A349312", "A364393", "A364407", "A364408", "A364409", "A366266", "A366267", "A366268" ]
null
Seiichi Manyama, Jul 23 2023
2023-10-07T07:10:04
oeisdata/seq/A364/A364409.seq
a796828873028f46c6625decaf1aaae9
A364410
G.f. A(x) satisfies A(x) = 1 + x^2 * (A(x) / (1 - x))^4.
[ "1", "0", "1", "4", "14", "52", "201", "800", "3260", "13536", "57068", "243664", "1051512", "4579088", "20097526", "88810872", "394811696", "1764477304", "7923087616", "35728412152", "161731039076", "734646128920", "3347600839252", "15298276784648", "70097391229500", "321974115549256", "1482242974320685" ]
[ "nonn" ]
24
0
4
[ "A186996", "A213336", "A364410", "A366645", "A366646" ]
null
Seiichi Manyama, Oct 15 2023
2023-10-15T09:25:56
oeisdata/seq/A364/A364410.seq
55deeeecff1287bc286185ebbef3531a
A364411
a(n) = prime(n) + 2*prime(n+1).
[ "8", "13", "19", "29", "37", "47", "55", "65", "81", "91", "105", "119", "127", "137", "153", "171", "181", "195", "209", "217", "231", "245", "261", "283", "299", "307", "317", "325", "335", "367", "389", "405", "415", "437", "451", "465", "483", "497", "513", "531", "541", "563", "577", "587", "595", "621", "657", "677", "685", "695", "711", "721", "743", "765", "783" ]
[ "nonn", "easy" ]
26
1
1
[ "A000040", "A001043", "A062234", "A094105", "A100484", "A191472", "A210497", "A364411" ]
null
Paul Curtz, Jul 23 2023
2025-01-03T05:43:49
oeisdata/seq/A364/A364411.seq
20444116330fa96269d4dcad1d976f4e
A364412
Odd numbers m such that for every k >= 1, m*2^k - 1 has a divisor in the set {3, 7, 11, 19, 31, 37, 41, 61, 73, 109, 151, 331}.
[ "144323411864333", "175321252530209", "190779128601685", "316031956469111", "389882208980861", "450590081221877", "2420018284798363", "2715458757443051", "3161282469971861", "3366332338600025", "3643757921262355", "4380746955320089", "4409682697067321", "5089175909950511", "5281690092088615" ]
[ "nonn" ]
9
1
1
[ "A076335", "A101036", "A180247", "A291360", "A364412", "A364413" ]
null
Arkadiusz Wesolowski, Jul 23 2023
2023-07-27T12:24:29
oeisdata/seq/A364/A364412.seq
64e65923bc1a8925cc31ed586c2a1565
A364413
Odd numbers m such that for every k >= 1, m*2^k + 1 has a divisor in the set {3, 7, 11, 19, 31, 37, 41, 61, 73, 109, 151, 331}.
[ "189035277393779", "212050850472529", "618127765127603", "777947701660121", "1171304921532749", "1358735367828947", "1834310020939021", "2357654372323739", "2638037471052913", "3025664372930897", "3935005074246167", "4688754513654559", "4996748200142999", "5425272498782051", "5455203077891285" ]
[ "nonn" ]
9
1
1
[ "A076335", "A076336", "A180247", "A291360", "A364412", "A364413" ]
null
Arkadiusz Wesolowski, Jul 23 2023
2023-07-27T12:24:49
oeisdata/seq/A364/A364413.seq
e65209759c62145d5551154f3a043e6a
A364414
Numbers k with the property that the second part of the symmetric representation of sigma(k) is an octagon of width 1 and one of its vertices is also the central vertex of the first valley of the largest Dyck path of the diagram.
[ "21", "27", "33", "39", "51", "57", "63", "69", "81", "87", "93", "99", "111", "117", "123", "129", "141", "147", "153", "159", "171", "177", "183", "189", "201", "207", "213", "219", "231", "237", "243", "249", "261", "267", "273", "279", "291", "297", "303", "309", "321", "327", "333", "339", "351", "357" ]
[ "nonn" ]
24
1
1
[ "A000203", "A001068", "A016945", "A045572", "A091999", "A196020", "A235791", "A236104", "A237270", "A237271", "A237591", "A237593", "A244145", "A245092", "A249223", "A249351", "A262626", "A362866", "A364414", "A364639", "A365081" ]
null
Omar E. Pol, Jul 23 2023
2023-09-03T10:53:24
oeisdata/seq/A364/A364414.seq
a42905296f4d72468c5fd10fae04b6ae
A364415
a(n) is the least k such that Sum_{j=1..k} 1/(j^(1 + 1/j)) >= n.
[ "0", "1", "6", "22", "65", "185", "512", "1402", "3825", "10412", "28318", "76995", "209314", "568995", "1546713", "4204428", "11428848", "31066858", "84448506", "229554871", "623994868", "1696193945", "4610733216", "12533272358", "34068966559" ]
[ "nonn", "more" ]
43
0
3
[ "A002387", "A004080", "A364415" ]
null
David A. Corneth, Jul 23 2023
2024-07-03T16:39:41
oeisdata/seq/A364/A364415.seq
226cd7a51eb13ab75febf31c8ff7e6c4
A364416
The number of stones-and-bones tilings of the (n,2n-4)-benzel.
[ "1", "10", "84", "724", "6516", "60900", "586404", "5777916", "57952212", "589381020", "6060195316", "62863155972", "656765033268", "6902094928308", "72892778268996", "773013952508268", "8226672021670804", "87817595880192684" ]
[ "nonn", "more" ]
20
3
2
[ "A352207", "A364416", "A364417", "A364418", "A364438", "A364481", "A364482", "A364483" ]
null
James Propp, Jul 23 2023
2024-04-26T17:59:28
oeisdata/seq/A364/A364416.seq
b06ddcc8e5baacbafc65faae365b3b9f
A364417
The number of stones-and-bones tilings of the (n,2n-3)-benzel.
[ "3", "18", "142", "1266", "12030", "118650", "1198230", "12296202", "127633590", "1336133730", "14079114270", "149124688482", "1586159072814", "16929780310218", "181227223899942", "1944808008842490", "20915277691567206" ]
[ "nonn", "more" ]
26
3
1
[ "A352207", "A364416", "A364417", "A364418", "A364438", "A364481", "A364482", "A364483" ]
null
James Propp, Jul 23 2023
2024-04-25T15:13:21
oeisdata/seq/A364/A364417.seq
eb43349f600826aa84288cf289aa9570
A364418
The sum of the weights of the stones-and-bones tilings of the (n,2n-4)-benzel, where each stone is given multiplicative weight 3.
[ "3", "102", "10260", "3267540", "3272495580", "10170919805580", "97112573496153540", "2829427113881208115260", "250440846963119234063024220", "67143197168392738521628168122420", "54411613647618445838464808052508179060" ]
[ "nonn" ]
25
3
1
[ "A352207", "A364416", "A364417", "A364418", "A364438", "A364481", "A364482", "A364483" ]
null
James Propp, Jul 23 2023
2024-04-27T16:49:00
oeisdata/seq/A364/A364418.seq
919fca75bfd2bd8c8ef6df741b6020c6
A364419
Number of divisors of n of the form 5*k+3 that are at most sqrt(n).
[ "0", "0", "0", "0", "0", "0", "0", "0", "1", "0", "0", "1", "0", "0", "1", "0", "0", "1", "0", "0", "1", "0", "0", "1", "0", "0", "1", "0", "0", "1", "0", "0", "1", "0", "0", "1", "0", "0", "1", "0", "0", "1", "0", "0", "1", "0", "0", "1", "0", "0", "1", "0", "0", "1", "0", "0", "1", "0", "0", "1", "0", "0", "1", "1", "0", "1", "0", "0", "1", "0", "0", "2", "0", "0", "1", "0", "0", "1", "0", "1", "1", "0", "0", "1", "0", "0", "1", "1", "0", "1", "0", "0", "1", "0", "0", "2", "0", "0", "1" ]
[ "nonn" ]
10
1
72
[ "A001878", "A038548", "A364388", "A364389", "A364419", "A364420" ]
null
Ilya Gutkovskiy, Jul 23 2023
2025-04-27T03:23:17
oeisdata/seq/A364/A364419.seq
bc0f57c3b12c3764b824197a78a75688
A364420
Number of divisors of n of the form 5*k+4 that are at most sqrt(n).
[ "0", "0", "0", "0", "0", "0", "0", "0", "0", "0", "0", "0", "0", "0", "0", "1", "0", "0", "0", "1", "0", "0", "0", "1", "0", "0", "0", "1", "0", "0", "0", "1", "0", "0", "0", "1", "0", "0", "0", "1", "0", "0", "0", "1", "0", "0", "0", "1", "0", "0", "0", "1", "0", "0", "0", "1", "0", "0", "0", "1", "0", "0", "0", "1", "0", "0", "0", "1", "0", "0", "0", "1", "0", "0", "0", "1", "0", "0", "0", "1", "1", "0", "0", "1", "0", "0", "0", "1", "0", "1", "0", "1", "0", "0", "0", "1", "0", "0", "1", "1", "0", "0", "0", "1", "0", "0", "0", "2" ]
[ "nonn" ]
5
1
108
[ "A001899", "A038548", "A364388", "A364389", "A364419", "A364420" ]
null
Ilya Gutkovskiy, Jul 23 2023
2023-07-25T09:18:25
oeisdata/seq/A364/A364420.seq
abaedcaf51aa12a41d75ad84c2d51418
A364421
For n >= 3, r >= 0, y an integer, a(n) is the number of integral solutions to the elliptic equation y^2 = n^3 + n^2 + 2*r*n + r^2.
[ "2", "2", "2", "3", "2", "4", "3", "4", "2", "8", "2", "4", "8", "5", "2", "7", "2", "9", "8", "4", "2", "15", "3", "4", "5", "10", "2", "15", "2", "7", "8", "4", "8", "17", "2", "4", "8", "15", "2", "15", "2", "10", "14", "4", "2", "22", "3", "7", "8", "9", "2", "10", "8", "15", "8", "4", "2", "38", "2", "4", "14", "8", "8", "15", "2", "9", "7", "16", "2", "27", "2", "4", "13", "9", "8", "15", "2", "22", "6", "4", "2", "39", "8", "4", "7", "16", "2", "27", "8", "10" ]
[ "nonn" ]
62
3
1
[ "A081119", "A134108", "A190300", "A196226", "A245685", "A364248", "A364421" ]
null
Ctibor O. Zizka, Sep 01 2023
2023-09-30T21:42:36
oeisdata/seq/A364/A364421.seq
84acaad186a1223252162bfefe621981
A364422
Expansion of e.g.f. x^2/(1-x-x^2)^2.
[ "0", "0", "2", "12", "120", "1200", "14400", "191520", "2862720", "47174400", "852768000", "16765056000", "356377190400", "8144943206400", "199202395392000", "5191467240960000", "143634952581120000", "4204936774950912000", "129865748246986752000", "4219868533182382080000", "143918318293689139200000" ]
[ "nonn" ]
23
0
3
[ "A000045", "A000142", "A001629", "A005442", "A364422" ]
null
Enrique Navarrete, Sep 01 2023
2023-09-30T21:41:16
oeisdata/seq/A364/A364422.seq
6f7b65b007d6ea0aa46e15b8ffa9cc37
A364423
Number of order-3 ribbon tilings for a 3 X n strip.
[ "1", "2", "6", "12", "26", "61", "134", "297", "669", "1490", "3321", "7426", "16573", "36986", "82594", "184382", "411599", "918931", "2051485", "4579826", "10224441", "22825825", "50957971", "113762629", "253972415", "566987102", "1265785592", "2825836529", "6308612558", "14083828826", "31441815085", "70193107041", "156704451838", "349838982690" ]
[ "nonn" ]
18
1
2
null
null
Yinsong Chen, Jul 26 2023
2023-08-13T08:50:16
oeisdata/seq/A364/A364423.seq
eba64e6f23b706ca8694250ee5d2abaf
A364424
Number of order-4 ribbon tilings for a 4 X n strip.
[ "1", "2", "6", "24", "60", "160", "455", "1379", "3849", "10811", "30690", "88447", "250980", "712381", "2025309", "5778250", "16437468", "46754562", "133015365", "378725526", "1077736517", "3066752734", "8726710102", "24836946216", "70681078421", "201141628889", "572399433419", "1628968619409", "4635735508041", "13192378795433" ]
[ "nonn" ]
13
1
2
null
null
Yinsong Chen, Jul 26 2023
2023-08-13T08:50:24
oeisdata/seq/A364/A364424.seq
6a2460d47723c9b87ef3622133de421f
A364425
Number of order-5 ribbon tilings for a 5 X n strip.
[ "1", "2", "6", "24", "120", "360", "1140", "3810", "13434", "49946", "169024", "574844", "1970274", "6826161", "23977111", "82657670", "284973586", "983395989", "3400594524", "11800532430", "40796408747", "141019980545", "487480906364", "1685757928053", "5834545502357", "20178892885120" ]
[ "nonn" ]
8
1
2
null
null
Yinsong Chen, Aug 14 2023
2023-09-13T23:10:18
oeisdata/seq/A364/A364425.seq
caef73418ae441c9ea567bb4861c1ade
A364426
Number of order-6 ribbon tilings for a 6 X n strip.
[ "1", "2", "6", "24", "120", "720", "2520", "9240", "35490", "142758", "601167", "2648967", "10532752", "42054602", "168941427", "684260967", "2800315185", "11604074418", "47073995851", "190962943230", "775113276195", "3150369602031", "12833577676317", "52456318079954", "213463250487565" ]
[ "nonn" ]
8
1
2
null
null
Yinsong Chen, Aug 14 2023
2023-09-13T23:10:27
oeisdata/seq/A364/A364426.seq
382ca41ef499566605a4844abe895bc3
A364427
Number of order-7 ribbon tilings for a 7 X n strip.
[ "1", "2", "6", "24", "120", "720", "5040", "20160", "84000", "364560", "1647744", "7754096", "37979164", "193530835", "883966084", "4052227976", "18669720090", "86583455766", "404839016404", "1911530739407", "9128783608512", "42592562625348", "198716275311992", "927456995916412" ]
[ "nonn" ]
8
1
2
null
null
Yinsong Chen, Aug 14 2023
2023-09-13T23:10:36
oeisdata/seq/A364/A364427.seq
3b9ea665c4ccb134c27f7e4f31d5a166
A364428
Number of order-8 ribbon tilings for an 8 X n strip.
[ "1", "2", "6", "24", "120", "720", "5040", "40320", "181440", "846720", "4097520", "20560176", "106949304", "576591048", "3220805709", "18634276859", "96125303465", "497468690754", "2585581989807", "13512032605810", "71086366996494", "376964624322607", "2017460369623984", "10909954789102904", "57546051294872504", "303513036994534272" ]
[ "nonn" ]
13
1
2
null
null
Yinsong Chen, Jul 26 2023
2023-08-13T08:50:06
oeisdata/seq/A364/A364428.seq
0ddae12ac0a793c3e7773f22b12caf11
A364429
a(0) = 1, a(n) = (2*n^5 + 20*n^3 + 23*n) * 2/15 for n>=1.
[ "1", "6", "36", "146", "456", "1182", "2668", "5418", "10128", "17718", "29364", "46530", "71000", "104910", "150780", "211546", "290592", "391782", "519492", "678642", "874728", "1113854", "1402764", "1748874", "2160304", "2645910", "3215316", "3878946", "4648056", "5534766", "6552092", "7713978", "9035328", "10532038", "12221028" ]
[ "nonn", "easy" ]
23
0
2
[ "A005900", "A014820", "A058331", "A069038", "A069039", "A099193", "A099195", "A099196", "A099197", "A142978", "A364429" ]
null
Steven Lu, Jul 24 2023
2024-07-28T03:48:48
oeisdata/seq/A364/A364429.seq
4188828c1c8229ac62f368be06f46801
A364430
G.f. satisfies A(x) = 1 - x*A(x)*(1 - 2*A(x)^3).
[ "1", "1", "7", "61", "603", "6443", "72517", "846995", "10170685", "124780525", "1557347467", "19710577873", "252386341335", "3263626001751", "42558647522697", "559032393114023", "7390085367865081", "98242108076244665", "1312529311579827631", "17613845480108029957", "237322279651518516019" ]
[ "nonn" ]
12
0
3
[ "A001003", "A153232", "A364430", "A364431", "A364432", "A364437" ]
null
Seiichi Manyama, Jul 24 2023
2023-07-25T07:27:25
oeisdata/seq/A364/A364430.seq
b36e841aa520baf38a35fbfeeb3c208a
A364431
G.f. satisfies A(x) = 1 + x*A(x)*(1 + 2*A(x)^3).
[ "1", "3", "27", "351", "5319", "87885", "1535517", "27898101", "521740197", "9977087439", "194191054263", "3834392341779", "76619557946475", "1546479815079321", "31482877148802873", "645689728734541929", "13328555370318744777", "276704344407952939131", "5773556701375333682355" ]
[ "nonn" ]
10
0
2
[ "A103210", "A348912", "A364430", "A364431", "A364432" ]
null
Seiichi Manyama, Jul 24 2023
2023-07-25T07:31:36
oeisdata/seq/A364/A364431.seq
8ab3294ba5eafd569c29603e3d0faa70
A364432
G.f. satisfies A(x) = 1 + x*A(x)*(2 + A(x)^3).
[ "1", "3", "18", "162", "1728", "20169", "249318", "3207600", "42500700", "576012060", "7947785448", "111269613006", "1576658688480", "22568473199358", "325855352769588", "4740157737123696", "69405108247439676", "1022070746845708740", "15127922880893671704", "224931239520535651464" ]
[ "nonn" ]
9
0
2
[ "A047891", "A348793", "A364430", "A364431", "A364432" ]
null
Seiichi Manyama, Jul 24 2023
2023-07-25T07:35:13
oeisdata/seq/A364/A364432.seq
ec6fbf820a5942d95db3d2f98aaef2e6
A364433
Numbers with multiplicities of primes per mod 3 residue in nonincreasing order.
[ "1", "2", "3", "4", "6", "7", "8", "9", "10", "12", "14", "16", "18", "20", "21", "24", "27", "28", "30", "32", "36", "40", "42", "48", "49", "54", "56", "60", "63", "64", "70", "72", "80", "81", "84", "90", "91", "96", "98", "100", "108", "110", "112", "120", "126", "128", "140", "144", "147", "160", "162", "168", "180", "182", "189", "192", "196", "200", "210", "216" ]
[ "nonn" ]
9
1
2
[ "A000244", "A025487", "A364433", "A364583" ]
null
David A. Corneth, Aug 06 2023
2023-08-24T10:22:08
oeisdata/seq/A364/A364433.seq
d943e5aabc996c5550b2723e15b982ca
A364434
a(1) = 12; for n >= 2, a(n) = least positive integer of the form prime(m)*prime(n-m)*prime(n) with m >= 1.
[ "12", "12", "30", "63", "154", "273", "442", "646", "874", "1334", "1798", "2294", "3034", "3526", "4042", "4982", "6254", "7198", "8174", "9514", "10366", "11534", "13114", "14774", "17266", "19594", "20806", "22042", "23326", "24634", "28702", "33274", "35894", "38086", "41422", "44998", "47414", "51182", "54442", "57782", "61934", "64798", "69142" ]
[ "nonn" ]
21
1
1
[ "A364434", "A364462", "A365280" ]
null
David A. Corneth, Aug 31 2023
2023-09-04T12:45:16
oeisdata/seq/A364/A364434.seq
665a842cbc94e8a68a16eaac2a9cbd4c
A364435
The first term in a run of at least 4 consecutive numbers each with exactly 5 distinct prime factors (i.e. belong to A051270).
[ "21871365", "37055184", "37227993", "39272583", "41205603", "43067463", "44012682", "44126949", "47761635", "48806274", "49362234", "49613484", "50582103", "52953795", "54244068", "60529077", "60988653", "61042069", "62319465", "63850344", "66068793", "66709683", "66710004", "67874079", "67974312", "68294148", "68529900" ]
[ "nonn" ]
12
1
1
[ "A051270", "A364266", "A364435" ]
null
David A. Corneth, Jul 24 2023
2023-08-05T21:34:53
oeisdata/seq/A364/A364435.seq
4aa6e025ddcc7a302b0771128036389c
A364436
Numbers that begin a run of at least 4 consecutive integers having exactly 6 distinct prime factors each (i.e., belonging to A074969).
[ "7933641735", "9338016258", "9827010633", "10744118592", "10808993635", "10928652579", "13302330390", "15300915705", "16088310249", "16408242849", "18685633314", "18721086153", "19136152098", "19819102092", "20592248544", "20826707802", "21241193334", "21296349633", "21531380583", "21727956885", "21823418253" ]
[ "nonn" ]
12
1
1
[ "A074969", "A364265", "A364436" ]
null
David A. Corneth, Jul 24 2023
2023-08-12T02:05:21
oeisdata/seq/A364/A364436.seq
8efde5d444fe01e772da7a7a1008e7dd
A364437
G.f. satisfies A(x) = 1 - x*(1 - 2*A(x)^3).
[ "1", "1", "6", "42", "326", "2712", "23676", "214068", "1987488", "18838464", "181548960", "1773566208", "17523740592", "174814263088", "1758342057504", "17812729393248", "181581358338528", "1861259423846400", "19172185074938112", "198354225907274496", "2060279149742042112" ]
[ "nonn" ]
6
0
3
[ "A068764", "A364437" ]
null
Seiichi Manyama, Jul 24 2023
2023-07-25T07:38:05
oeisdata/seq/A364/A364437.seq
a35835a1b2e256b333e22540e0b41549
A364438
The sum of the weights of the stones-and-bones tilings of the (n,2n-3)-benzel, where each stone is given multiplicative weight 3.
[ "9", "270", "27110", "8798490", "8980383330", "28344705113430", "273927748387623390", "8057418594145673168610", "718650987298253553656580570", "193874673319110717570773876192670", "157927323459469084048485672225266775510", "387962431958247267773527802272080627127318890" ]
[ "nonn" ]
22
3
1
[ "A352207", "A364416", "A364417", "A364418", "A364438", "A364481", "A364482", "A364483" ]
null
James Propp, Jul 24 2023
2024-04-28T16:57:53
oeisdata/seq/A364/A364438.seq
a722fd0c10a881b12ff3bf7e7577de87
A364439
a(n) is the number of paths with length 3*n that begin at (0,0), end at (0,0), and do not reach (0,0) at any point in between while 0 <= y <= x at every step, where a path is a sequence of steps in the form (1,1), (1,-1), and (-2,0).
[ "1", "1", "4", "33", "367", "4844", "71597", "1147653", "19559062", "349766457", "6502419671", "124822220086", "2461515013103", "49668479230825", "1022258042480874", "21406231023989503", "455112508356168561", "9807294681518154334", "213897254891041613995", "4715809234441541498539" ]
[ "nonn", "walk" ]
41
0
3
[ "A005789", "A011655", "A364439" ]
null
Marshall Hamon, Jul 24 2023
2023-10-27T13:05:21
oeisdata/seq/A364/A364439.seq
fbea831089af83fb2a56cfc7f03d1019
A364440
Triangle T(n,k) (n >= 1 and 1 <= k <= n) read by rows, arising from the Mosaic Problem.
[ "0", "0", "1", "0", "73", "31998", "0", "3960", "10414981", "20334816290", "0", "190475" ]
[ "nonn", "tabl", "hard", "more" ]
50
1
5
null
null
Douglas Boffey, Aug 02 2023
2023-09-06T20:30:00
oeisdata/seq/A364/A364440.seq
2cec72cbe68fde9b381e1871aa3e87f5
A364441
Number of facets of the balanced minimum evolution polytope on n species.
[ "3", "52", "90262" ]
[ "nonn", "more", "bref" ]
25
4
1
[ "A364441", "A364505" ]
null
Harry Richman, Jul 24 2023
2025-03-28T16:03:00
oeisdata/seq/A364/A364441.seq
425b68ef58d08d119585caec37712cf2
A364442
a(n) is the smallest number > a(n-1) such that a(n-1) + a(n) is a triprime (A014612), with a(1) = 1.
[ "1", "7", "11", "16", "26", "37", "38", "40", "52", "53", "57", "59", "65", "73", "74", "79", "85", "86", "88", "94", "96", "99", "108", "114", "116", "120", "122", "123", "132", "134", "139", "140", "142", "143", "147", "163", "169", "174", "180", "183", "186", "188", "197", "202", "204", "206", "212", "213", "215", "219", "223", "229", "236", "238", "239", "244", "250", "256", "262", "268", "271", "277", "278", "283" ]
[ "nonn" ]
8
1
2
[ "A001222", "A014612", "A073627", "A263349", "A357713", "A364442" ]
null
Zak Seidov and Robert Israel, Jul 25 2023
2023-08-02T13:48:29
oeisdata/seq/A364/A364442.seq
3c74738b4b7ec23b5cb8dc69e42414cf
A364443
a(n) is the number of integers k of the form x^2 + x*y + y^2 (A003136) with n^2 < k < (n+1)^2.
[ "0", "1", "1", "2", "2", "3", "4", "4", "5", "4", "6", "5", "6", "8", "7", "8", "7", "9", "9", "11", "10", "10", "11", "10", "13", "12", "13", "13", "13", "14", "13", "16", "16", "16", "14", "16", "17", "16", "18", "20", "19", "19", "19", "19", "21", "20", "22", "21", "21", "22", "22", "24", "25", "21", "24", "25", "24", "27", "27", "25", "29", "26", "28", "26", "27", "29", "29", "30", "28", "29", "32", "31" ]
[ "nonn" ]
24
0
4
[ "A002324", "A004016", "A077773", "A357112", "A364443", "A364729", "A364730", "A364731", "A364732" ]
null
Hugo Pfoertner, Aug 05 2023
2024-01-16T14:08:13
oeisdata/seq/A364/A364443.seq
040a640934e9bcb15a8f470c8a96987e
A364444
a(n) is the number of integers k with n^2 < k < (n+1)^2 that are the sum of no more than 3 squares, counting multiple representations only once.
[ "0", "2", "3", "5", "7", "8", "10", "11", "14", "15", "16", "18", "20", "22", "23", "24", "27", "29", "30", "31", "34", "34", "36", "38", "40", "42", "44", "44", "47", "48", "49", "51", "54", "55", "57", "58", "61", "61", "62", "65", "67", "69", "69", "71", "73", "75", "76", "78", "81", "81", "83", "85", "87", "89", "89", "91", "94", "95", "97", "97", "100", "101", "103", "104", "107", "109" ]
[ "nonn" ]
12
0
2
[ "A004215", "A077773", "A364444", "A364445" ]
null
Hugo Pfoertner, Aug 01 2023
2023-08-01T09:56:07
oeisdata/seq/A364/A364444.seq
795f5b06d2da5a99c8ea36111666bdf0
A364445
Complement of A364444.
[ "1", "4", "6", "9", "12", "13", "17", "19", "21", "25", "26", "28", "32", "33", "35", "37", "39", "41", "43", "45", "46", "50", "52", "53", "56", "59", "60", "63", "64", "66", "68", "70", "72", "74", "77", "79", "80", "82", "84", "86", "88", "90", "92", "93", "96", "98", "99", "102", "105", "106", "108", "112", "113", "116", "118", "119", "120", "123", "124", "127", "129", "132", "133" ]
[ "nonn" ]
8
1
2
[ "A004215", "A077773", "A363762", "A364445" ]
null
Hugo Pfoertner, Aug 01 2023
2023-08-01T09:55:26
oeisdata/seq/A364/A364445.seq
88d923443a68be772a097c8fb32cfd0c
A364446
Odd bisection of A097514.
[ "1", "2", "17", "205", "3876", "99585", "3313117", "138046940", "6974868139", "419104459913", "29405917751526", "2376498296500063", "218615700758838253", "22667167720595002186", "2626657814273218158997", "337692419653329329932633", "47859496337287704749354668" ]
[ "nonn" ]
26
0
2
[ "A097514", "A364446" ]
null
Karol A. Penson, Jul 25 2023
2024-05-03T09:29:21
oeisdata/seq/A364/A364446.seq
5ff1ce227896f1a1f474f44b2fc35d82
A364447
Repeat [1,2,1,3].
[ "1", "2", "1", "3", "1", "2", "1", "3", "1", "2", "1", "3", "1", "2", "1", "3", "1", "2", "1", "3", "1", "2", "1", "3", "1", "2", "1", "3", "1", "2", "1", "3", "1", "2", "1", "3", "1", "2", "1", "3", "1", "2", "1", "3", "1", "2", "1", "3", "1", "2", "1", "3", "1", "2", "1", "3", "1", "2", "1", "3", "1", "2", "1", "3", "1", "2", "1", "3", "1", "2", "1", "3", "1", "2", "1", "3", "1", "2", "1", "3", "1", "2", "1", "3", "1", "2", "1", "3", "1", "2", "1", "3", "1", "2", "1", "3", "1" ]
[ "nonn", "easy" ]
31
1
2
[ "A000034", "A010882", "A131534", "A131743", "A364447", "A364448", "A364449" ]
null
Rok Cestnik, Jul 25 2023
2025-01-23T12:38:08
oeisdata/seq/A364/A364447.seq
c789c6714f06b636ce233b961b835f95
A364448
Lexicographically earliest sequence where n is banned for n^2 terms after each appearance.
[ "1", "2", "1", "3", "1", "4", "1", "2", "1", "5", "1", "6", "1", "2", "1", "3", "1", "7", "1", "2", "1", "8", "1", "4", "1", "2", "1", "3", "1", "9", "1", "2", "1", "10", "1", "5", "1", "2", "1", "3", "1", "4", "1", "2", "1", "11", "1", "12", "1", "2", "1", "3", "1", "6", "1", "2", "1", "13", "1", "4", "1", "2", "1", "3", "1", "5", "1", "2", "1", "7", "1", "14", "1", "2", "1", "3", "1", "4", "1", "2", "1", "15", "1", "16", "1", "2", "1", "3", "1", "8", "1", "2", "1", "5", "1", "4" ]
[ "nonn", "look" ]
33
1
2
[ "A028920", "A364447", "A364448", "A364449" ]
null
Rok Cestnik, Jul 25 2023
2023-07-31T10:09:41
oeisdata/seq/A364/A364448.seq
b6616d3de0e2ba12ea6f410becdf6474
A364449
Lexicographically earliest sequence where n is banned for n^3 terms after each appearance.
[ "1", "2", "1", "3", "1", "4", "1", "5", "1", "6", "1", "2", "1", "7", "1", "8", "1", "9", "1", "10", "1", "2", "1", "11", "1", "12", "1", "13", "1", "14", "1", "2", "1", "3", "1", "15", "1", "16", "1", "17", "1", "2", "1", "18", "1", "19", "1", "20", "1", "21", "1", "2", "1", "22", "1", "23", "1", "24", "1", "25", "1", "2", "1", "3", "1", "26", "1", "27", "1", "28", "1", "2", "1", "4", "1", "29", "1", "30", "1", "31", "1", "2", "1", "32", "1", "33", "1", "34", "1", "35" ]
[ "nonn" ]
17
1
2
[ "A339606", "A364447", "A364448", "A364449" ]
null
Rok Cestnik, Jul 25 2023
2023-07-29T07:03:36
oeisdata/seq/A364/A364449.seq
7078df3e40f33ba0938b4f7c231a8823
A364450
Number of partitions of [n] without prime sized blocks.
[ "1", "1", "1", "1", "2", "6", "17", "43", "135", "536", "2262", "9109", "40119", "198069", "1057149", "5656915", "31937212", "191032078", "1218669125", "7948119483", "54117500635", "381631039690", "2828205076600", "21507011811289", "169880627954541", "1377653319819302", "11620433411120653", "100417638302823210" ]
[ "nonn" ]
12
0
5
[ "A000040", "A097514", "A190476", "A329944", "A364450" ]
null
Alois P. Heinz, Jul 25 2023
2023-07-25T09:24:07
oeisdata/seq/A364/A364450.seq
07fd339e7e366acd1a8e8da3d35e4aaf
A364451
a(n) is the number of trees of diameter 4 with n vertices that are N-games in peg duotaire.
[ "0", "0", "0", "0", "1", "2", "5", "7", "10", "13", "18", "22", "29", "34", "42", "49", "60", "69", "86", "100", "121", "139", "164", "187", "219", "252", "296", "343", "400", "458", "532", "605", "696", "794", "917", "1050", "1214", "1389", "1599", "1823", "2087", "2371", "2710", "3080", "3521" ]
[ "nonn" ]
14
1
6
[ "A000094", "A364451" ]
null
Michael Carrion, Nathan Hurtig, Maggie X. Lai, Sarah Lohrey, Brittany Ohlinger, Jul 25 2023
2023-08-05T23:52:32
oeisdata/seq/A364/A364451.seq
7a2ee9670c430a36fe9abad1cc051675
A364452
Smallest k such that 4^(4^n) - k is prime.
[ "1", "5", "5", "159", "569", "1557", "2439", "25353", "24317", "164073" ]
[ "nonn", "more" ]
31
0
2
[ "A058220", "A064722", "A137840", "A140331", "A364452", "A364453", "A364454" ]
null
J.W.L. (Jan) Eerland, Jul 25 2023
2025-04-20T11:20:36
oeisdata/seq/A364/A364452.seq
fe21b89758dce4321fe3d2c6a4bb845f
A364453
Smallest k such that 5^(5^n) - k is prime.
[ "2", "4", "64", "124", "228", "10978", "73738", "66346" ]
[ "more", "nonn" ]
31
0
1
[ "A058220", "A064722", "A137841", "A140331", "A364452", "A364453", "A364454" ]
null
J.W.L. (Jan) Eerland, Jul 25 2023
2024-08-24T15:43:22
oeisdata/seq/A364/A364453.seq
b8acd24e0638d7d67d8f2f9de32a1c9a
A364454
Smallest k such that 6^(6^n) - k is prime.
[ "1", "7", "35", "587", "629", "1819", "106843" ]
[ "more", "nonn" ]
26
0
2
[ "A058220", "A140331", "A364452", "A364453", "A364454" ]
null
J.W.L. (Jan) Eerland, Jul 25 2023
2024-08-23T21:09:18
oeisdata/seq/A364/A364454.seq
6039203b32d196c1267d29c7cafe6047
A364455
Record values of A365196.
[ "2", "3", "4", "5", "6", "8", "18", "53", "94", "97", "98", "106", "132", "148", "150", "153", "155", "165", "204", "312" ]
[ "nonn", "more" ]
40
1
1
[ "A364455", "A365196", "A365239" ]
null
Robert Israel, Aug 27 2023
2023-08-30T14:14:26
oeisdata/seq/A364/A364455.seq
970c9b2e319feaa18b80875870226524
A364456
Lexicographically earliest sequence of distinct primes such that a(1)*a(2)*...*a(n-1) - a(n) is prime for n>=1 with a(1)=5.
[ "5", "2", "3", "7", "11", "13", "17", "29", "23", "31", "37", "73", "41", "19", "59", "89", "83", "43", "47", "71", "79", "151", "137", "67", "181", "163", "167", "101", "103", "97", "53", "223", "61", "227", "229", "113", "109", "191", "127", "157", "389", "349", "199", "337", "463", "577", "193", "149", "991", "107", "139", "233", "131", "691", "173", "557", "307", "461", "313", "619", "353", "281", "487", "947", "641", "283", "673", "271", "433", "263" ]
[ "nonn" ]
7
1
1
null
null
Giorgos Kalogeropoulos, Jul 25 2023
2023-08-27T14:37:30
oeisdata/seq/A364/A364456.seq
0f33408cbd31e18af31972ce6173e4cd
A364457
Number A(n,k) of tilings of a k X n rectangle using dominoes and trominoes (of any shape); square array A(n,k), n>=0, k>=0, read by antidiagonals.
[ "1", "1", "1", "1", "0", "1", "1", "1", "1", "1", "1", "1", "2", "1", "1", "1", "1", "6", "6", "1", "1", "1", "2", "17", "30", "17", "2", "1", "1", "2", "43", "145", "145", "43", "2", "1", "1", "3", "108", "733", "1352", "733", "108", "3", "1", "1", "4", "280", "3540", "12688", "12688", "3540", "280", "4", "1", "1", "5", "727", "17300", "115958", "226922", "115958", "17300", "727", "5", "1" ]
[ "nonn", "tabl" ]
65
0
13
[ "A000012", "A000931", "A019439", "A182097", "A219866", "A219987", "A233320", "A364155", "A364457", "A364460", "A364504", "A364556", "A364616", "A364617", "A364632", "A364638", "A364640" ]
null
Alois P. Heinz, Jul 25 2023
2025-04-05T15:43:55
oeisdata/seq/A364/A364457.seq
f8f818e8d62b71aedd7ce69f16df0e8e
A364458
Prime numbers that are not repdigits with digits in nondecreasing order with the property that any nontrivial permutation of the digits gives a composite number.
[ "19", "23", "29", "47", "59", "67", "89", "223", "227", "229", "233", "257", "269", "449", "499", "557", "599", "677", "1447", "2267", "2447", "4447", "5557", "8999", "11119", "15559", "22229", "22669", "23333", "24889", "44449", "48889", "55589", "55889", "59999", "79999", "222269", "444449", "455557", "555557", "555589", "666667", "4444469", "4555559" ]
[ "nonn", "base" ]
118
1
1
[ "A028864", "A039986", "A364458" ]
null
Jean-Marc Rebert, Dec 23 2023
2024-01-03T09:49:27
oeisdata/seq/A364/A364458.seq
438ffbfaf6241657689dc52e8d6bc937
A364459
Number of primes in the interval [n,n+log(n)^2].
[ "0", "1", "1", "1", "2", "1", "1", "1", "2", "2", "2", "2", "3", "2", "2", "3", "3", "2", "2", "1", "2", "3", "3", "2", "2", "2", "3", "3", "3", "3", "3", "3", "3", "3", "4", "4", "4", "3", "3", "4", "4", "3", "3", "2", "3", "3", "4", "3", "3", "3", "3", "4", "4", "3", "4", "4", "5", "5", "5", "4", "4", "4", "4", "4", "4", "5", "5", "4", "4", "4", "5", "4", "4", "3", "3", "3", "3", "3", "4", "3", "3", "4", "4", "4", "4", "4", "4", "5", "6", "5", "5", "5", "6", "6", "6", "6", "6", "5", "5", "5" ]
[ "nonn" ]
14
1
5
[ "A000040", "A000720", "A120936", "A364459" ]
null
Alain Rocchelli, Jul 25 2023
2023-08-30T14:13:55
oeisdata/seq/A364/A364459.seq
ea5420c90f5e6c45b8f97698a1109aa1
A364460
Number of tilings of a 3 X n rectangle using dominoes and trominoes (of any shape).
[ "1", "1", "6", "30", "145", "733", "3540", "17300", "84479", "411963", "2011408", "9816506", "47911847", "233851991", "1141365064", "5570761346", "27189615925", "132706261547", "647709321582", "3161321546320", "15429691961077", "75308819284819", "367565220881250", "1794002281279416", "8756117243124305", "42736617464745197" ]
[ "nonn", "easy" ]
19
0
3
[ "A133872", "A364457", "A364460" ]
null
Alois P. Heinz, Jul 25 2023
2025-04-05T08:38:28
oeisdata/seq/A364/A364460.seq
11e5c1eadbd1bc2f8819cf3aafa2308e
A364461
Positive integers such that if prime(a)*prime(b) is a divisor, prime(a+b) is not.
[ "1", "2", "3", "4", "5", "6", "7", "8", "9", "10", "11", "13", "14", "15", "16", "17", "18", "19", "20", "21", "22", "23", "25", "26", "27", "28", "29", "31", "32", "33", "34", "35", "37", "38", "39", "40", "41", "42", "43", "44", "45", "46", "47", "49", "50", "51", "52", "53", "54", "55", "56", "57", "58", "59", "61", "62", "64", "65", "66", "67", "68", "69", "71", "73", "74", "75", "76" ]
[ "nonn" ]
8
1
2
[ "A001222", "A007865", "A056239", "A085489", "A088809", "A093971", "A108917", "A112798", "A151897", "A236912", "A237113", "A237667", "A288728", "A299702", "A320340", "A325862", "A325864", "A326083", "A363225", "A363226", "A364345", "A364346", "A364347", "A364348", "A364350", "A364461", "A364462", "A364531", "A364532" ]
null
Gus Wiseman, Jul 27 2023
2023-07-28T15:54:50
oeisdata/seq/A364/A364461.seq
949eac5e9347fc4dd770436d9b3cd1cc
A364462
Positive integers having a divisor of the form prime(a)*prime(b) such that prime(a+b) is also a divisor.
[ "12", "24", "30", "36", "48", "60", "63", "70", "72", "84", "90", "96", "108", "120", "126", "132", "140", "144", "150", "154", "156", "165", "168", "180", "189", "192", "204", "210", "216", "228", "240", "252", "264", "270", "273", "276", "280", "286", "288", "300", "308", "312", "315", "324", "325", "330", "336", "348", "350", "360", "372", "378", "384", "390" ]
[ "nonn" ]
11
1
1
[ "A001222", "A007865", "A056239", "A085489", "A088809", "A093971", "A108917", "A112798", "A151897", "A236912", "A237113", "A237667", "A299702", "A299729", "A320340", "A325862", "A326083", "A363225", "A363226", "A364345", "A364347", "A364348", "A364350", "A364461", "A364462", "A364531", "A364532" ]
null
Gus Wiseman, Jul 29 2023
2023-08-30T14:59:46
oeisdata/seq/A364/A364462.seq
785c9fce284303037d53291abde8a4f1
A364463
Number of subsets of {1..n} with elements disjoint from first differences of elements.
[ "1", "2", "3", "6", "10", "18", "30", "54", "92", "167", "290", "525", "935", "1704", "3082", "5664", "10386", "19249", "35701", "66702", "124855", "234969", "443174", "839254", "1592925", "3032757", "5786153", "11066413", "21204855", "40712426", "78294085", "150815154", "290922900", "561968268", "1086879052", "2104570243" ]
[ "nonn" ]
23
0
2
[ "A000009", "A000041", "A007865", "A011782", "A025065", "A229816", "A236912", "A237113", "A237667", "A240861", "A320347", "A323092", "A325325", "A326083", "A363260", "A364347", "A364463", "A364464", "A364465", "A364466" ]
null
Gus Wiseman, Jul 27 2023
2023-12-30T21:24:19
oeisdata/seq/A364/A364463.seq
0e5ecc49ab7689db6a3125f5d11001fa
A364464
Number of strict integer partitions of n where no part is the difference of two consecutive parts.
[ "1", "1", "1", "1", "2", "3", "2", "4", "4", "6", "5", "8", "9", "12", "13", "16", "16", "21", "23", "29", "34", "38", "41", "49", "57", "64", "73", "86", "95", "110", "120", "135", "160", "171", "197", "219", "247", "277", "312", "342", "386", "431", "476", "527", "598", "640", "727", "796", "893", "966", "1097", "1178", "1327", "1435", "1602", "1740", "1945", "2084", "2337" ]
[ "nonn" ]
12
0
5
[ "A000009", "A000041", "A002865", "A007865", "A008284", "A008289", "A025065", "A120641", "A229816", "A236912", "A237667", "A240861", "A275972", "A320347", "A323092", "A325325", "A363226", "A363260", "A364345", "A364346", "A364463", "A364464", "A364465", "A364466", "A364467", "A364536" ]
null
Gus Wiseman, Jul 30 2023
2023-09-26T13:38:59
oeisdata/seq/A364/A364464.seq
a421f48686f8c4f7d9aefdf0500cd105
A364465
Number of subsets of {1..n} with all different first differences of elements.
[ "1", "2", "4", "7", "13", "22", "36", "61", "99", "156", "240", "381", "587", "894", "1334", "1967", "2951", "4370", "6406", "9293", "13357", "18976", "27346", "39013", "55437", "78154", "109632", "152415", "210801", "293502", "406664", "561693", "772463", "1058108", "1441796", "1956293", "2639215", "3579542", "4835842", "6523207" ]
[ "nonn" ]
12
0
2
[ "A000009", "A007318", "A008289", "A011782", "A053632", "A108917", "A196723", "A236912", "A275972", "A320347", "A320348", "A325325", "A325857", "A325864", "A325877", "A325878", "A326083", "A363260", "A364345", "A364346", "A364463", "A364465", "A364466", "A364467" ]
null
Gus Wiseman, Jul 30 2023
2023-10-18T04:52:04
oeisdata/seq/A364/A364465.seq
14ab62796334a498fc58db297479a68b
A364466
Number of subsets of {1..n} where some element is a difference of two consecutive elements.
[ "0", "0", "1", "2", "6", "14", "34", "74", "164", "345", "734", "1523", "3161", "6488", "13302", "27104", "55150", "111823", "226443", "457586", "923721", "1862183", "3751130", "7549354", "15184291", "30521675", "61322711", "123151315", "247230601", "496158486", "995447739", "1996668494", "4004044396", "8027966324", "16092990132", "32255168125" ]
[ "nonn" ]
20
0
4
[ "A000009", "A000041", "A008284", "A008289", "A011782", "A050291", "A088808", "A093971", "A108917", "A196723", "A212986", "A237113", "A275972", "A320347", "A325325", "A325864", "A325877", "A325878", "A326083", "A363225", "A363260", "A364463", "A364464", "A364466", "A364467", "A364534", "A364536" ]
null
Gus Wiseman, Jul 31 2023
2023-10-18T04:51:46
oeisdata/seq/A364/A364466.seq
de8db45fbe46b66ab609135c45fd51d1
A364467
Number of integer partitions of n where some part is the difference of two consecutive parts.
[ "0", "0", "0", "1", "1", "2", "4", "5", "9", "13", "21", "28", "42", "55", "78", "106", "144", "187", "255", "325", "429", "554", "717", "906", "1165", "1460", "1853", "2308", "2899", "3582", "4468", "5489", "6779", "8291", "10173", "12363", "15079", "18247", "22124", "26645", "32147", "38555", "46285", "55310", "66093", "78684", "93674", "111104" ]
[ "nonn" ]
10
0
6
[ "A000009", "A000041", "A002865", "A008284", "A008289", "A025065", "A050291", "A088808", "A093971", "A108917", "A196723", "A229816", "A236912", "A237113", "A237667", "A320340", "A320347", "A323092", "A325325", "A326083", "A363225", "A363260", "A364345", "A364463", "A364464", "A364466", "A364467", "A364536", "A364537" ]
null
Gus Wiseman, Jul 31 2023
2023-09-26T13:39:20
oeisdata/seq/A364/A364467.seq
f4d5d5a2a663a07cf1146c6c0dc2ef98
A364468
Number of primitive n-bead necklaces (turning over is allowed) comprising elements of two flavors where complements and scalings are equivalent.
[ "1", "1", "1", "1", "1", "3", "3", "8", "12", "20", "35", "62", "106", "189", "343", "603", "1130", "2055", "3860", "7154", "13562", "25463", "48607", "92204", "176646", "337587", "649151", "1246819", "2404519", "4636389", "8963497", "17334800", "33585928", "65107935", "126385919", "245492221", "477345359", "928772649", "1808662015", "3524337599", "6872457828", "13409202675", "26179870365" ]
[ "nonn" ]
18
0
6
[ "A000011", "A000046", "A070842", "A364468" ]
null
Richard B. Canty, Jul 25 2023
2023-07-27T12:25:33
oeisdata/seq/A364/A364468.seq
5a9bef99728d197392e4ff719b3b2457
A364469
Numbers k whose digital sum is greater than the number of primes up to k (inclusive).
[ "1", "2", "3", "4", "5", "6", "7", "8", "9", "16", "17", "18", "19", "28", "29" ]
[ "nonn", "base", "full", "fini" ]
22
1
2
[ "A000720", "A007953", "A364469" ]
null
Tanya Khovanova, Jul 29 2023
2023-08-02T14:24:02
oeisdata/seq/A364/A364469.seq
bf3dddf028f7da93cf72872e1467b465
A364470
a(n) is the least k > a(n-1) such that Omega(k * (a(n-1)+k)) = n, where Omega = A001222; a(1) = 1.
[ "1", "2", "7", "11", "13", "19", "32", "56", "80", "120", "128", "224", "320", "480", "512", "896", "1280", "1920", "2048", "3584", "5120", "7680", "8192", "14336", "20480", "30720", "32768", "57344", "81920", "122880", "131072", "229376", "327680", "491520", "524288", "917504", "1310720", "1966080", "2097152", "3670016", "5242880", "7864320", "8388608", "14680064", "20971520" ]
[ "nonn" ]
5
1
2
[ "A001222", "A364470" ]
null
Robert Israel, Jul 25 2023
2023-07-29T05:04:48
oeisdata/seq/A364/A364470.seq
cbd06a814a7338779f8875014b6484f8
A364471
Number of chordless cycles (of length >= 4) in the complement of the n-Fibonacci cube graph.
[ "0", "0", "0", "6", "56", "327", "1501", "6000", "21973", "75711", "249910", "799098", "2494870", "7646824", "23099662" ]
[ "nonn", "more" ]
22
1
4
[ "A297668", "A364471" ]
null
Eric W. Weisstein, Jul 26 2023
2025-02-16T08:34:06
oeisdata/seq/A364/A364471.seq
d5ba4599463c468719e207f24679d8f7
A364472
G.f. satisfies A(x) = 1 + x*A(x) + x^2*A(x)^6.
[ "1", "1", "2", "8", "35", "163", "808", "4162", "22041", "119325", "657384", "3673394", "20769983", "118610807", "683131766", "3963486380", "23144000681", "135911263309", "802143851323", "4755506884495", "28306896506651", "169110331570307", "1013643450123455", "6094125091837335", "36739933169338731" ]
[ "nonn" ]
13
0
3
[ "A000045", "A000108", "A001006", "A002295", "A182454", "A186996", "A364472", "A364476" ]
null
Seiichi Manyama, Jul 26 2023
2023-07-27T12:17:56
oeisdata/seq/A364/A364472.seq
41d003e1d6876d403e1e5fa0c4e13689
A364473
G.f. satisfies A(x) = 1 + x*A(x)^2 + x^2*A(x)^6.
[ "1", "1", "3", "13", "65", "353", "2024", "12057", "73890", "462851", "2950261", "19073921", "124776881", "824409052", "5493384031", "36874564529", "249114808794", "1692489908494", "11556616157589", "79265016880139", "545860966841247", "3772800724433931", "26162662010039826", "181974370638420829" ]
[ "nonn" ]
8
0
3
[ "A001002", "A001764", "A006605", "A052709", "A143330", "A364472", "A364473", "A364474", "A364477" ]
null
Seiichi Manyama, Jul 26 2023
2023-07-26T18:02:47
oeisdata/seq/A364/A364473.seq
5f24d2aa4054d3c93c6745befb6d4870
A364474
G.f. satisfies A(x) = 1 + x*A(x)^3 + x^2*A(x).
[ "1", "1", "4", "16", "77", "403", "2228", "12800", "75653", "457022", "2809266", "17514200", "110480475", "703850686", "4522217364", "29268545416", "190645760149", "1248817411471", "8221323983431", "54365667330636", "360954069730636", "2405225494066647", "16080210766344354", "107828663888705292" ]
[ "nonn" ]
17
0
3
[ "A002293", "A104979", "A186997", "A255673", "A361245", "A364474", "A364475", "A364478" ]
null
Seiichi Manyama, Jul 26 2023
2025-04-18T13:20:26
oeisdata/seq/A364/A364474.seq
97d2e2b5c5fdc8ddd6633ec0103a9a79
A364475
G.f. satisfies A(x) = 1 + x*A(x)^3 + x^2*A(x)^3.
[ "1", "1", "4", "18", "94", "529", "3135", "19270", "121732", "785496", "5155167", "34304706", "230923653", "1569684910", "10759159000", "74281473504", "516089542684", "3605685460750", "25316226436086", "178538289189108", "1264131169628799", "8982889404251721", "64041351551534215" ]
[ "nonn" ]
13
0
3
[ "A002293", "A104979", "A186997", "A255673", "A361245", "A364474", "A364475", "A364478", "A378323" ]
null
Seiichi Manyama, Jul 26 2023
2024-11-23T11:10:51
oeisdata/seq/A364/A364475.seq
f6245cb180988c7e6efcb6c9b4eb211a
A364476
G.f. satisfies A(x) = 1 + x*A(x) + x^2*A(x)^7.
[ "1", "1", "2", "9", "44", "226", "1241", "7093", "41666", "250260", "1529993", "9488398", "59545909", "377451385", "2413157855", "15542535697", "100753850132", "656856027658", "4303970039402", "28328599504756", "187214549485759", "1241775795647609", "8263989319451514", "55163575187733922" ]
[ "nonn" ]
15
0
3
[ "A000045", "A000108", "A001006", "A002296", "A182454", "A186996", "A364472", "A364476", "A364477" ]
null
Seiichi Manyama, Jul 26 2023
2023-07-27T11:00:01
oeisdata/seq/A364/A364476.seq
c74886ed125af11e9eb95d4ebd301b0f
A364477
G.f. satisfies A(x) = 1 + x*A(x)^2 + x^2*A(x)^7.
[ "1", "1", "3", "14", "76", "448", "2791", "18078", "120516", "821435", "5698422", "40101623", "285583775", "2054272430", "14903954415", "108932920861", "801350333186", "5928653489398", "44084056075057", "329279673851792", "2469493161891742", "18588339309502760", "140383789476473354" ]
[ "nonn" ]
9
0
3
[ "A001002", "A001764", "A006605", "A052709", "A143330", "A364473", "A364476", "A364477" ]
null
Seiichi Manyama, Jul 26 2023
2023-07-26T18:02:42
oeisdata/seq/A364/A364477.seq
82aad7fc1631bfed06f104ab83c6ecbf
A364478
G.f. satisfies A(x) = 1 + x*A(x)^3 + x^2*A(x)^8.
[ "1", "1", "4", "23", "154", "1124", "8675", "69626", "575243", "4859778", "41789764", "364565277", "3218581695", "28702642553", "258172627259", "2339496034381", "21337716782873", "195726876816623", "1804472496834650", "16711389876481027", "155395461519245354", "1450298253483719944" ]
[ "nonn" ]
8
0
3
[ "A002293", "A104979", "A186997", "A255673", "A361245", "A364474", "A364475", "A364478" ]
null
Seiichi Manyama, Jul 26 2023
2023-07-26T08:31:07
oeisdata/seq/A364/A364478.seq
a9a14071e9d666966916aeac60cf9e9c
A364479
Happy palindromic primes.
[ "7", "313", "383", "11311", "15451", "30103", "30803", "35053", "36263", "71317", "74047", "94349", "94649", "95959", "98689", "1221221", "1257521", "1262621", "1281821", "1311131", "1444441", "1551551", "1594951", "1597951", "1658561", "1703071", "1737371", "1764671", "1829281", "1924291", "1957591", "1970791", "1981891", "1988891", "3001003" ]
[ "nonn", "base" ]
52
1
1
[ "A002385", "A007770", "A364479" ]
null
Simon R Blow, Jul 26 2023
2025-02-16T08:34:06
oeisdata/seq/A364/A364479.seq
807289d1d04597a85f7d525722461ed6
A364480
Table of Sprague-Grundy values for M X N Pop-It! hooks read by antidiagonals.
[ "1", "2", "2", "3", "3", "3", "4", "4", "4", "4", "5", "5", "1", "5", "5", "6", "6", "6", "6", "6", "6", "7", "7", "7", "7", "7", "7", "7", "8", "8", "8", "8", "8", "8", "8", "8", "9", "9", "9", "9", "1", "9", "9", "9", "9", "10", "10", "10", "10", "2", "2", "10", "10", "10", "10", "11", "11", "11", "11", "3", "3", "3", "11", "11", "11", "11", "12", "12", "12", "12", "12", "12", "12", "12", "12", "12", "12", "12" ]
[ "nonn", "tabl", "look" ]
41
1
2
[ "A038712", "A354586", "A364480" ]
null
Ryan J. Blau, Michael Carrion, Djeneba Diop, Sarah Dumnich, Matt Prudente, and Nathan B. Shank, Jul 26 2023
2024-02-14T13:56:27
oeisdata/seq/A364/A364480.seq
c2a7e5b0bb63a7c383e93659e96f7ff8
A364481
The number of stones-and-bones tilings of the (3n+1,3n+1)-benzel when one orientation of bone is forbidden.
[ "4", "224", "168960", "1705639936", "229940737867776", "413561647491497066496", "9918120959299139713735065600" ]
[ "nonn", "more" ]
11
1
1
[ "A352207", "A364416", "A364417", "A364418", "A364438", "A364481", "A364482", "A364483" ]
null
James Propp, Jul 26 2023
2023-08-05T13:04:12
oeisdata/seq/A364/A364481.seq
ea5a894b7dbdf36e160674e5e29f2668
A364482
The number of stones-and-bones tilings of the (3n+1,3n+2)-benzel when one orientation of bone is forbidden.
[ "6", "512", "591360", "9160359936", "1897011087409152", "5244422625774526267392", "193403358706333224417833779200", "95098462720808932931887549372170240000" ]
[ "nonn" ]
10
1
1
[ "A352207", "A364416", "A364417", "A364418", "A364438", "A364481", "A364482", "A364483" ]
null
James Propp, Jul 26 2023
2023-08-05T21:25:56
oeisdata/seq/A364/A364482.seq
ce5a08e98405e899efe77e099a3c65a4
A364483
The number of stones-and-bones tilings of the (3n-1,3n)-benzel when one orientation of bone is forbidden.
[ "1", "16", "3360", "9371648", "347950546944", "172066422921363456", "1133503548832944876421120" ]
[ "nonn", "more" ]
10
1
2
[ "A352207", "A364416", "A364417", "A364418", "A364438", "A364481", "A364482", "A364483" ]
null
James Propp, Jul 26 2023
2023-08-05T21:26:09
oeisdata/seq/A364/A364483.seq
7876b5d855125d6e8be32c0b85cc0ed2
A364484
Numbers whose prime factorization (prime factors and exponents) contains the digits 1 and 2 at least once, but no other digits.
[ "2", "22", "44", "121", "211", "242", "422", "484", "844", "2048", "2111", "2221", "2321", "4096", "4222", "4442", "4642", "8444", "8884", "9284", "12211", "21121", "21211", "21221", "22111", "22528", "23221", "24422", "24431", "25531", "42242", "42422", "42442", "44222", "44521", "45056", "46442", "48844", "48862", "51062", "84484", "84844", "84884", "88444", "89042", "92884", "97724" ]
[ "nonn", "base" ]
18
1
1
[ "A007931", "A364484" ]
null
Alexandru Petrescu, Jul 26 2023
2023-08-29T16:30:19
oeisdata/seq/A364/A364484.seq
8d477afda45712b42cdd450938576559
A364485
Number of fixed triangular polyominoes with 2n cells of the regular tiling with Schläfli symbol {3,6} that have a common axis of symmetry coincident with cell edges.
[ "1", "2", "4", "9", "23", "59", "155", "418", "1136", "3122", "8663", "24201", "68059", "192471", "546899", "1560511", "4469000", "12839642", "36995629", "106875531", "309477998", "898075778", "2611239508", "7606064348", "22191694916", "64845964156", "189752911736", "555985221037", "1631053277370", "4790356866561" ]
[ "nonn" ]
6
1
2
[ "A030223", "A364485", "A364486", "A364487" ]
null
Robert A. Russell, Jul 26 2023
2023-07-29T05:01:38
oeisdata/seq/A364/A364485.seq
e582c676e3fd7093ada055f181a4cffd
A364486
Number of fixed triangular n-ominoes of the regular tiling with Schläfli symbol {3,6} that have a common axis of symmetry coincident with cell altitudes and the point of the polyomino farthest along that axis in a specified direction is a cell vertex.
[ "1", "1", "1", "2", "2", "5", "5", "13", "13", "32", "36", "85", "98", "226", "270", "610", "754", "1674", "2111", "4647", "5945", "13008", "16843", "36666", "47931", "103887", "136971", "295713", "392856", "845153", "1130268", "2424156", "3260969", "6975700", "9431977", "20130758", "27342941", "58243283", "79431140", "168900755", "231186046" ]
[ "nonn" ]
12
1
4
[ "A030223", "A364485", "A364486", "A364487" ]
null
Robert A. Russell, Jul 26 2023
2023-08-06T11:55:29
oeisdata/seq/A364/A364486.seq
0854016d677d0170f155765c90925d55
A364487
Number of fixed triangular n-ominoes of the regular tiling with Schläfli symbol {3,6} that have a common axis of symmetry coincident with cell altitudes and the point of the polyomino farthest along that axis in a specified direction is a cell edge center.
[ "1", "0", "1", "0", "2", "1", "5", "2", "13", "5", "36", "16", "96", "45", "262", "128", "720", "368", "1991", "1047", "5549", "2995", "15583", "8607", "44027", "24788", "125043", "71620", "356706", "207412", "1021318", "601719", "2933861", "1748874", "8452723", "5091776", "24417793", "14848210", "70706750", "43364962", "205193316", "126828277" ]
[ "nonn" ]
10
1
5
[ "A030223", "A364485", "A364486", "A364487" ]
null
Robert A. Russell, Jul 26 2023
2023-08-06T11:55:24
oeisdata/seq/A364/A364487.seq
a0fe7eb11ca4b517c34b88be45a55518
A364488
Decimal expansion of zeta(2) * primezeta(2).
[ "7", "4", "3", "9", "1", "7", "1", "8", "7", "8", "6", "9", "7", "6", "7", "9", "7", "4", "9", "3", "5", "9", "6", "1", "8", "0", "6", "4", "6", "3", "5", "3", "4", "5", "1", "2", "7", "1", "0", "4", "3", "1", "8", "7", "5", "0", "2", "2", "8", "7", "5", "1", "1", "5", "3", "1", "4", "3", "4", "6", "5", "4", "6", "0", "4", "7", "5", "6", "9", "0", "8", "8", "6", "4", "2", "4", "0", "4", "6", "8", "5", "2", "3", "6", "9", "3", "8", "1", "3", "1", "1", "6", "3", "8", "5", "1", "9", "7", "1", "5", "6", "3", "7", "1", "9" ]
[ "nonn", "cons" ]
11
0
1
[ "A001221", "A013661", "A085548", "A098198", "A364488", "A364490" ]
null
Ilya Gutkovskiy, Jul 26 2023
2025-02-16T08:34:06
oeisdata/seq/A364/A364488.seq
25b42473b7aeef1d4587ff373229a4f3
A364489
Values of n for which the Sprague-Grundy value of Heat-Charge Toggle on an (n+2)-vertex path with initial weights -1,1^n,-1 is evil for odd n or odious for even n.
[ "1", "4", "6", "9", "14", "22", "27", "30", "35", "41", "58", "59", "72", "84", "87", "89", "103", "105", "108", "124", "129", "141", "171", "258", "284", "407", "458", "11770548", "25146268", "27690032", "41693544", "55788270", "74838555", "86120064", "89811321", "95580294", "119784327", "139336981", "158776090", "160066751", "161102638", "181691114", "186919128" ]
[ "nonn" ]
15
1
2
[ "A000069", "A001969", "A361517", "A363934", "A364489", "A364503" ]
null
Jean-Pierre Appel, Patrick G. Cesarz, Djeneba Diop, Eugene Fiorini, Nathan Hurtig, Andrew Woldar, Jul 26 2023
2023-09-03T11:17:28
oeisdata/seq/A364/A364489.seq
e4a9f8b159e679a24f747a29f5b046a9
A364490
Decimal expansion of zeta(3) * primezeta(2).
[ "5", "4", "3", "6", "2", "7", "1", "3", "3", "1", "9", "6", "4", "7", "9", "4", "2", "9", "7", "8", "0", "2", "5", "5", "7", "1", "3", "4", "7", "3", "2", "8", "3", "4", "2", "8", "0", "6", "9", "3", "6", "4", "8", "0", "4", "9", "5", "7", "6", "6", "1", "3", "9", "8", "7", "1", "9", "1", "6", "0", "6", "3", "6", "0", "0", "1", "8", "0", "8", "8", "8", "9", "2", "4", "3", "4", "6", "5", "7", "3", "5", "0", "4", "2", "2", "5", "1", "7", "4", "4", "0", "3", "3", "6", "5", "7", "4", "3", "8", "4", "8", "6", "0", "4", "7" ]
[ "nonn", "cons" ]
10
0
1
[ "A002117", "A008472", "A085548", "A183699", "A364488", "A364490" ]
null
Ilya Gutkovskiy, Jul 26 2023
2025-02-16T08:34:06
oeisdata/seq/A364/A364490.seq
3c0d7f15b203a457f56dfd1ce10c24b9
A364491
a(n) = n / gcd(n, A163511(n)).
[ "0", "1", "1", "1", "1", "5", "1", "7", "1", "1", "5", "11", "1", "13", "7", "15", "1", "17", "1", "19", "5", "7", "11", "23", "1", "5", "13", "27", "7", "29", "15", "31", "1", "11", "17", "7", "1", "37", "19", "39", "5", "41", "7", "43", "11", "15", "23", "47", "1", "49", "5", "51", "13", "53", "27", "5", "7", "19", "29", "59", "15", "61", "31", "63", "1", "65", "11", "67", "17", "23", "7", "71", "1", "73", "37", "15", "19", "11", "39", "79", "5", "3", "41", "83", "7", "17", "43", "87" ]
[ "nonn", "frac" ]
15
0
6
[ "A163511", "A364255", "A364491", "A364492", "A364493", "A364494" ]
null
Antti Karttunen, Jul 26 2023
2023-07-27T08:18:23
oeisdata/seq/A364/A364491.seq
e30b07c936d1959f686155624d68b5d7
A364492
a(n) = A163511(n) / gcd(n, A163511(n)).
[ "1", "2", "2", "1", "2", "9", "1", "5", "2", "3", "9", "25", "1", "15", "5", "7", "2", "81", "3", "125", "9", "25", "25", "49", "1", "9", "15", "35", "5", "21", "7", "11", "2", "81", "81", "125", "3", "375", "125", "343", "9", "225", "25", "245", "25", "49", "49", "121", "1", "135", "9", "175", "15", "105", "35", "7", "5", "21", "21", "55", "7", "33", "11", "13", "2", "729", "81", "3125", "81", "625", "125", "2401", "3", "1125", "375", "343", "125", "147", "343", "1331" ]
[ "nonn", "frac" ]
13
0
2
[ "A163511", "A364255", "A364491", "A364492", "A364493", "A364496" ]
null
Antti Karttunen, Jul 26 2023
2023-07-27T08:18:28
oeisdata/seq/A364/A364492.seq
d321718784f6a243c40fc65475846521
A364493
a(n) = A364491(n) * A364492(n).
[ "0", "2", "2", "1", "2", "45", "1", "35", "2", "3", "45", "275", "1", "195", "35", "105", "2", "1377", "3", "2375", "45", "175", "275", "1127", "1", "45", "195", "945", "35", "609", "105", "341", "2", "891", "1377", "875", "3", "13875", "2375", "13377", "45", "9225", "175", "10535", "275", "735", "1127", "5687", "1", "6615", "45", "8925", "195", "5565", "945", "35", "35", "399", "609", "3245", "105", "2013", "341", "819", "2", "47385", "891" ]
[ "nonn" ]
15
0
2
[ "A163511", "A364255", "A364258", "A364288", "A364491", "A364492", "A364493" ]
null
Antti Karttunen, Jul 26 2023
2023-07-27T08:20:01
oeisdata/seq/A364/A364493.seq
2f4bae95114f1516365af97de29d6ac9
A364494
Numbers k such that k divides A163511(k).
[ "1", "2", "3", "4", "6", "8", "9", "12", "16", "18", "24", "32", "36", "48", "64", "72", "96", "105", "128", "144", "192", "210", "256", "288", "384", "420", "429", "512", "576", "768", "840", "858", "1024", "1152", "1365", "1536", "1617", "1680", "1716", "2048", "2304", "2730", "3072", "3234", "3360", "3432", "3887", "4096", "4235", "4608", "5460", "6144", "6468", "6720", "6864", "7774", "8192", "8470", "9216", "10829", "10920", "12288" ]
[ "nonn" ]
7
1
2
[ "A007283", "A029744", "A163511", "A364295", "A364491", "A364494", "A364495", "A364496", "A364497" ]
null
Antti Karttunen, Jul 27 2023
2023-07-27T08:17:38
oeisdata/seq/A364/A364494.seq
3ea66d28d494863b273167a9a74d5991
A364495
Odd numbers k such that k divides A163511(k).
[ "1", "3", "9", "105", "429", "1365", "1617", "3887", "4235", "10829", "14025", "17745", "21125", "22627", "38025", "54587", "70805", "100555", "115159", "147875", "168751", "169065", "175769", "181447", "181545", "291525", "297297", "303875", "338675", "350987", "501787", "513825", "518035", "549081", "560947", "566865", "594473", "624169", "676039", "735875", "745147", "831875", "869193", "957125" ]
[ "nonn" ]
15
1
2
[ "A163511", "A243071", "A364296", "A364494", "A364495", "A364498", "A364545", "A364963", "A364965" ]
null
Antti Karttunen, Jul 27 2023
2023-09-02T11:24:42
oeisdata/seq/A364/A364495.seq
63504fb5c9e9e1590b8c1776c432f814
A364496
Numbers k such that k is a multiple of A163511(k).
[ "0", "3", "6", "12", "24", "48", "96", "192", "384", "768", "1536", "3072", "6144", "12288", "16383", "24576", "32766", "49152", "65532", "98304", "131064", "196608", "262128", "393216", "524256", "786432", "1048512", "1572864", "2097024", "3145728", "4194048", "6291456", "8388096", "12582912", "16776192", "25165824", "33552384", "50331648", "67104768", "100663296", "134209536", "201326592" ]
[ "nonn" ]
21
1
2
[ "A007283", "A163511", "A364292", "A364295", "A364492", "A364494", "A364496", "A364497", "A364498", "A364963" ]
null
Antti Karttunen, Jul 27 2023
2023-09-02T11:24:53
oeisdata/seq/A364/A364496.seq
a6a627b8074693bf05ebdc944dccec1f
A364497
Numbers k such that k divides A243071(k).
[ "1", "3", "6", "12", "24", "43", "48", "86", "96", "172", "192", "344", "384", "688", "768", "1177", "1376", "1536", "2354", "2752", "3072", "3503", "4708", "5504", "6144", "7006", "9416", "11008", "12288", "14012", "18832", "22016", "24576", "28024", "37664", "44032", "49152", "49477", "56048", "75328", "88064", "98304", "98954", "112096", "150656", "169413", "176128", "196608", "197908", "224192", "301312", "338826" ]
[ "nonn" ]
7
1
2
[ "A007283", "A163511", "A243071", "A364295", "A364494", "A364496", "A364497", "A364498" ]
null
Antti Karttunen, Jul 27 2023
2023-07-27T08:17:54
oeisdata/seq/A364/A364497.seq
76bdc5609dccee5c42b616241fad27f1
A364498
Odd numbers k such that k divides A243071(k).
[ "1", "3", "43", "1177", "3503", "49477", "169413", "428015", "4394113", "33228911" ]
[ "nonn", "more" ]
16
1
2
[ "A000720", "A163511", "A243071", "A364256", "A364497", "A364498" ]
null
Antti Karttunen, Jul 27 2023
2023-07-27T21:13:41
oeisdata/seq/A364/A364498.seq
b2632b223b5726f429974e286e3db20b
A364499
a(n) = A005940(n) - n.
[ "0", "0", "0", "0", "0", "0", "2", "0", "-2", "0", "4", "0", "12", "4", "12", "0", "-6", "-4", "2", "0", "14", "8", "22", "0", "24", "24", "48", "8", "96", "24", "50", "0", "-20", "-12", "-2", "-8", "18", "4", "24", "0", "36", "28", "62", "16", "130", "44", "88", "0", "72", "48", "96", "48", "192", "96", "170", "16", "286", "192", "316", "48", "564", "100", "180", "0", "-48", "-40", "-28", "-24", "-4", "-4", "28", "-16", "18", "36", "90", "8", "198", "48", "110", "0", "62" ]
[ "sign", "look" ]
36
1
7
[ "A005940", "A029747", "A364258", "A364499", "A364500", "A364540", "A364541", "A364542", "A364543", "A364559", "A364563", "A364568", "A364572", "A364573", "A364576" ]
null
Antti Karttunen, Jul 28 2023
2023-08-11T10:02:58
oeisdata/seq/A364/A364499.seq
7aa55ee97c15e00c408d2e495f7734eb
A364500
a(n) = gcd(n, A005940(n)).
[ "1", "2", "3", "4", "5", "6", "1", "8", "1", "10", "1", "12", "1", "2", "3", "16", "1", "2", "1", "20", "7", "2", "1", "24", "1", "2", "3", "4", "1", "6", "1", "32", "1", "2", "1", "4", "1", "2", "3", "40", "1", "14", "1", "4", "5", "2", "1", "48", "1", "2", "3", "4", "1", "6", "5", "8", "1", "2", "1", "12", "1", "2", "9", "64", "1", "2", "1", "4", "1", "2", "1", "8", "1", "2", "15", "4", "11", "6", "1", "80", "1", "2", "1", "28", "5", "2", "3", "8", "1", "10", "7", "4", "1", "2", "5", "96", "1", "2", "33", "4" ]
[ "nonn" ]
14
1
2
[ "A005940", "A324198", "A339969", "A364255", "A364499", "A364500", "A364501", "A364502" ]
null
Antti Karttunen, Jul 28 2023
2023-07-28T15:53:03
oeisdata/seq/A364/A364500.seq
3b6639ff4180c8fc27f34a4b7085c2ff