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1999-12-11 03:00:00
2025-04-28 00:58:08
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A383006
Exponent of the highest power of 2 dividing the n-th powerful number.
[ "0", "2", "3", "0", "4", "0", "0", "5", "2", "0", "6", "3", "0", "2", "2", "0", "0", "7", "4", "0", "2", "3", "3", "0", "0", "8", "5", "0", "2", "0", "0", "3", "4", "4", "0", "2", "2", "9", "0", "6", "0", "3", "0", "2", "0", "4", "5", "0", "5", "2", "0", "3", "2", "3", "10", "0", "0", "7", "2", "0", "4", "0", "0", "3", "0", "2", "2", "0", "5", "6", "0", "6", "2", "3", "0", "4", "3", "4", "0", "11", "2", "0", "0", "0", "8", "3", "0" ]
[ "nonn", "easy" ]
7
1
2
[ "A001694", "A007814", "A363189", "A373549", "A383006", "A383007" ]
null
Amiram Eldar, Apr 12 2025
2025-04-12T09:41:46
oeisdata/seq/A383/A383006.seq
d5f86173cae776d462d7733c5b7853f5
A383007
Exponent of the highest power of 2 dividing the n-th cubefull number.
[ "0", "3", "4", "0", "5", "6", "0", "0", "7", "3", "0", "8", "0", "4", "9", "0", "3", "0", "5", "3", "10", "4", "0", "6", "3", "4", "11", "0", "0", "0", "5", "3", "0", "0", "7", "4", "5", "12", "0", "3", "6", "4", "3", "0", "0", "8", "5", "6", "13", "0", "4", "0", "7", "3", "5", "4", "0", "9", "0", "6", "0", "7", "14", "0", "0", "3", "3", "3", "0", "5", "8", "4", "6", "5", "0", "3", "3", "10", "0", "0", "0", "0", "7", "8", "15" ]
[ "nonn", "easy" ]
8
1
2
[ "A007814", "A036966", "A383006", "A383007" ]
null
Amiram Eldar, Apr 12 2025
2025-04-12T09:41:53
oeisdata/seq/A383/A383007.seq
a8e60f864a9cf376a7aeac225460407d
A383008
Indices of the even terms in the sequence of squarefree numbers.
[ "2", "5", "7", "10", "15", "17", "19", "22", "25", "28", "30", "36", "39", "41", "44", "47", "49", "51", "54", "59", "63", "66", "69", "72", "74", "76", "80", "83", "85", "88", "91", "94", "97", "102", "104", "106", "108", "111", "114", "116", "119", "124", "127", "129", "132", "135", "138", "140", "143", "148", "151", "156", "159", "161", "164", "169", "171", "173", "176", "178" ]
[ "nonn", "easy" ]
7
1
1
[ "A005117", "A039956", "A071403", "A373550", "A383008", "A383009" ]
null
Amiram Eldar, Apr 12 2025
2025-04-12T09:41:59
oeisdata/seq/A383/A383008.seq
6a4c54b8be2e051a971f859520fb49e3
A383009
Indices of the even terms in the sequence of cubefree numbers.
[ "2", "4", "6", "9", "11", "13", "16", "18", "20", "23", "24", "26", "29", "31", "33", "36", "38", "40", "43", "45", "49", "51", "53", "56", "58", "60", "63", "65", "67", "69", "71", "73", "76", "78", "80", "83", "85", "87", "90", "93", "96", "98", "100", "103", "105", "106", "109", "111", "113", "115", "117", "119", "122", "124", "126", "129", "131", "133", "137", "139", "142", "144" ]
[ "nonn", "easy" ]
7
1
1
[ "A004709", "A381822", "A383004", "A383008", "A383009" ]
null
Amiram Eldar, Apr 12 2025
2025-04-12T09:42:13
oeisdata/seq/A383/A383009.seq
6b12b60d91d084294fedcae97abd1956
A383010
a(n) = -Sum_{d|n} (-n)^d.
[ "1", "-2", "30", "-268", "3130", "-46470", "823550", "-16781368", "387421227", "-9999900090", "285311670622", "-8916103453380", "302875106592266", "-11112006720144694", "437893890381622140", "-18446744078004584688", "827240261886336764194", "-39346408075098212291754", "1978419655660313589123998" ]
[ "sign", "easy" ]
8
1
2
[ "A066108", "A383003", "A383010" ]
null
Seiichi Manyama, Apr 12 2025
2025-04-12T09:37:43
oeisdata/seq/A383/A383010.seq
f59c425dc9ed5d93f238389f14797b2f
A383011
Square array A(n,k), n >= 1, k >= 1, read by antidiagonals downwards, where A(n,k) = -(1/n) * Sum_{d|n} mu(n/d) * (-k)^d.
[ "1", "2", "-1", "3", "-3", "0", "4", "-6", "2", "0", "5", "-10", "8", "-3", "0", "6", "-15", "20", "-18", "6", "0", "7", "-21", "40", "-60", "48", "-11", "0", "8", "-28", "70", "-150", "204", "-124", "18", "0", "9", "-36", "112", "-315", "624", "-690", "312", "-30", "0", "10", "-45", "168", "-588", "1554", "-2620", "2340", "-810", "56", "0", "11", "-55", "240", "-1008", "3360", "-7805", "11160", "-8160", "2184", "-105", "0" ]
[ "sign", "tabl" ]
15
1
2
[ "A008683", "A038063", "A038064", "A038065", "A038066", "A074650", "A154955", "A383011", "A383012" ]
null
Seiichi Manyama, Apr 12 2025
2025-04-12T09:41:40
oeisdata/seq/A383/A383011.seq
2d149b5b11520c773f9cc9e749a8a9ab
A383012
a(n) = Sum_{d|n} mu(n/d) * (-n)^(d-1).
[ "1", "-3", "8", "-60", "624", "-7805", "117648", "-2096640", "43046640", "-1000009989", "25937424600", "-743008120140", "23298085122480", "-793714780783665", "29192926025339776", "-1152921504338411520", "48661191875666868480", "-2185911559749714602652", "104127350297911241532840" ]
[ "sign" ]
11
1
2
[ "A008683", "A075147", "A382998", "A383003", "A383011", "A383012" ]
null
Seiichi Manyama, Apr 12 2025
2025-04-12T09:37:48
oeisdata/seq/A383/A383012.seq
ef9dd504f849ac3c40c86b1457ec3796
A383013
Number of integer partitions of n having a permutation with all equal run-lengths.
[ "1", "1", "2", "3", "5", "6", "9", "11", "18", "21", "31", "38", "56", "67", "94", "121", "162", "199", "265", "330", "438", "543", "693", "859", "1103", "1353", "1702", "2097", "2619", "3194", "3972", "4821", "5943", "7206", "8796", "10632", "12938", "15536", "18794", "22539", "27133", "32374", "38827", "46175", "55134", "65421", "77751", "91951", "109011", "128482" ]
[ "nonn", "changed" ]
17
0
3
[ "A000009", "A000041", "A003242", "A047966", "A164707", "A238279", "A239455", "A304442", "A329738", "A329739", "A351201", "A351290", "A351291", "A351293", "A351294", "A351295", "A351596", "A353744", "A353833", "A353837", "A353851", "A382857", "A382858", "A382878", "A382879", "A382914", "A382915", "A383013" ]
null
Gus Wiseman, Apr 12 2025
2025-04-27T15:04:34
oeisdata/seq/A383/A383013.seq
0ed96ea40d608e4c9fda753d4e75e6c5
A383014
Numbers whose prime indices can be partitioned into constant blocks with a common sum.
[ "1", "2", "3", "4", "5", "7", "8", "9", "11", "12", "13", "16", "17", "19", "23", "25", "27", "29", "31", "32", "36", "37", "40", "41", "43", "47", "48", "49", "53", "59", "61", "63", "64", "67", "71", "73", "79", "81", "83", "89", "97", "101", "103", "107", "108", "109", "112", "113", "121", "125", "127", "128", "131", "137", "139", "144", "149", "151", "157", "163", "167", "169" ]
[ "nonn", "new" ]
8
1
2
[ "A000688", "A000720", "A000961", "A001055", "A001222", "A006171", "A045778", "A050361", "A055396", "A056239", "A061395", "A112798", "A279784", "A279789", "A295935", "A300383", "A317141", "A321469", "A353833", "A381453", "A381455", "A381635", "A381636", "A381715", "A381716", "A381717", "A381719", "A381806", "A381871", "A381993", "A381995", "A383014", "A383093" ]
null
Gus Wiseman, Apr 22 2025
2025-04-25T08:46:52
oeisdata/seq/A383/A383014.seq
3c06792673ed00a56274b0e93d70be6e
A383015
Numbers whose prime indices have more than one permutation with all equal run-sums.
[ "12", "40", "63", "112", "144", "325", "351", "352", "675", "832", "931", "1008", "1539", "1600", "1728", "2176", "2875", "3509", "3969", "4864", "6253", "7047", "7056", "8775", "9072", "11776", "12427", "12544", "12691", "16128", "19133", "20736", "20800", "22464", "23125", "26973", "29403", "29696", "32269", "43200", "49392", "57967", "59711" ]
[ "nonn", "new" ]
9
1
1
[ "A000720", "A000961", "A001221", "A001222", "A044813", "A056239", "A112798", "A304442", "A329738", "A329739", "A351596", "A353832", "A353833", "A353837", "A353838", "A353847", "A353848", "A353851", "A353932", "A354584", "A381636", "A381871", "A382076", "A382857", "A382876", "A382877", "A382879", "A383014", "A383015", "A383089", "A383090", "A383091", "A383092", "A383097", "A383100" ]
null
Gus Wiseman, Apr 14 2025
2025-04-17T23:21:03
oeisdata/seq/A383/A383015.seq
23665fe548ccad24329feba932e577e2
A383019
Triangle T(n,k) read by rows (n >= 0, k >= 0) with g.f. 1/(1 - f(0)*x - x*y/(1 - f(1)*x - x*y/(1 - f(2)*x - x*y/(1 - f(3)*x - x*y/(1 - f(4)*x - x*y/(1 - ...)))))) where f(n) = n + 1 for n >= 0.
[ "1", "1", "1", "1", "4", "2", "1", "11", "16", "5", "1", "26", "80", "64", "14", "1", "57", "324", "490", "256", "42", "1", "120", "1170", "2944", "2730", "1024", "132", "1", "247", "3948", "15403", "22400", "14322", "4096", "429", "1", "502", "12776", "73960", "157564", "152064", "72072", "16384", "1430", "1", "1013", "40264", "335856", "1004400", "1368796", "953344", "351780", "65536", "4862" ]
[ "nonn", "tabl", "new" ]
27
0
5
[ "A302285", "A383019" ]
null
Mikhail Kurkov, Apr 12 2025
2025-04-20T10:58:25
oeisdata/seq/A383/A383019.seq
6046afeb9799c005318960a1223672f6
A383020
G(n) is a graph constructed with nodes labelled with integers n through n+a(n). Edges are drawn between consecutive integers and between integers sharing the same largest prime factor. a(n) is the smallest integer for which G(n) is not planar.
[ "8", "7", "10", "10", "12", "11", "12", "12", "11", "14", "13", "12", "11", "13", "12", "11", "10", "14", "13", "15", "17", "16", "15", "17", "16", "15", "16", "19", "18", "18", "17", "16", "16", "15", "14", "17", "16", "15", "15", "14", "13", "13", "12", "15", "19", "18", "17", "16", "18", "19", "20", "22", "21", "22", "21", "23", "23", "22", "21", "24", "23", "22", "24", "23", "24", "23" ]
[ "nonn", "new" ]
30
2
1
[ "A006530", "A383020" ]
null
Gordon Hamilton, Apr 20 2025
2025-04-22T08:03:56
oeisdata/seq/A383/A383020.seq
e683285a2ec766d2f98311a42271feb4
A383022
Number of minimum total dominating set in the n-Sierpinski gasket graph.
[ "3", "3", "9", "12915" ]
[ "nonn", "more" ]
4
1
1
null
null
Eric W. Weisstein, Apr 12 2025
2025-04-12T09:46:19
oeisdata/seq/A383/A383022.seq
ff5bf86d083f8abe1a35423b4b94cb66
A383023
Square array A(n,k), n >= 1, k >= 1, read by antidiagonals downwards, where A(n,k) is the n-th term of the inverse Weigh transform of j-> k^j.
[ "1", "2", "1", "3", "3", "0", "4", "6", "2", "1", "5", "10", "8", "6", "0", "6", "15", "20", "24", "6", "0", "7", "21", "40", "70", "48", "11", "0", "8", "28", "70", "165", "204", "124", "18", "1", "9", "36", "112", "336", "624", "690", "312", "36", "0", "10", "45", "168", "616", "1554", "2620", "2340", "834", "56", "0", "11", "55", "240", "1044", "3360", "7805", "11160", "8230", "2184", "105", "0" ]
[ "nonn", "tabl" ]
14
1
2
[ "A074650", "A209229", "A306156", "A306157", "A306158", "A306159", "A383023" ]
null
Seiichi Manyama, Apr 12 2025
2025-04-13T08:19:10
oeisdata/seq/A383/A383023.seq
9cc61e3cab636ea93a24fccd45c4fc45
A383024
a(n) = floor(1/(1-s(n))) where s(n) = Sum_{k=1..n} phi(k)/k * log(2^k/(2^k-1)). phi(k) is the Euler totient function A000010(k).
[ "3", "6", "13", "23", "61", "90", "229", "417", "917", "1429", "3916", "5748", "16323", "28489", "53121", "89322", "249079", "364536", "1068096", "1802530", "3542367", "5749605", "16694858", "24980973", "61771834", "107398135", "230197552", "363961698", "1053601058", "1426995284", "3997869809", "7478431118" ]
[ "nonn", "new" ]
10
1
1
[ "A000010", "A383024" ]
null
Yifan Xie, Apr 13 2025
2025-04-18T21:25:29
oeisdata/seq/A383/A383024.seq
8b6d2782ab75924b689918a963a7af0a
A383025
Centered pentagonal numbers that are deficient.
[ "1", "16", "31", "51", "76", "106", "141", "181", "226", "331", "391", "526", "601", "681", "766", "856", "951", "1051", "1156", "1381", "1501", "1756", "1891", "2031", "2326", "2481", "2641", "2806", "3151", "3331", "3706", "3901", "4101", "4306", "4516", "4731", "4951", "5176", "5641", "5881", "6376", "6631", "6891", "7156", "7426", "7701", "7981", "8266", "8851", "9151", "9766", "10081", "10401" ]
[ "nonn", "new" ]
10
1
2
[ "A005100", "A005891", "A145838", "A381488", "A382696", "A383025" ]
null
Massimo Kofler, Apr 13 2025
2025-04-18T21:20:43
oeisdata/seq/A383/A383025.seq
0b90081d9610ba907ae6fc5a1303cd51
A383026
Triangle T(n,k) read by rows whose n-th row is the lexicographically first n-tuple of ordered distinct positive integers with sum A382547(n) and product A382547(n) * 100^(n-1), or an n-tuple of zeros when A382547(n) = 0.
[ "1", "180", "225", "150", "175", "200", "125", "160", "175", "184", "125", "127", "150", "160", "200", "100", "125", "140", "150", "175", "192", "80", "100", "125", "150", "160", "173", "250", "80", "100", "110", "125", "140", "150", "200", "250", "50", "100", "112", "125", "150", "155", "160", "200", "250", "50", "80", "100", "125", "128", "150", "170", "175", "200", "250" ]
[ "nonn", "fini", "tabl", "new" ]
16
1
2
[ "A380887", "A381187", "A382547", "A383026" ]
null
Markus Sigg, Apr 13 2025
2025-04-21T12:20:11
oeisdata/seq/A383/A383026.seq
b97d8abd36ab18d6f8533017f15c51cc
A383028
Third center column of elementary triangular automaton rule 146, starting from a lone 1 cell.
[ "0", "0", "1", "1", "0", "0", "0", "0", "0", "0", "1", "1", "1", "1", "0", "0", "1", "1", "1", "1", "0", "0", "1", "1", "1", "1", "0", "0", "1", "1", "1", "1", "0", "0", "1", "1", "1", "1", "0", "0", "1", "1", "1", "1", "0", "0", "0", "0", "0", "0", "1", "1", "0", "0", "0", "0", "1", "1", "1", "1", "0", "0", "1", "1", "0", "0", "1", "1", "1", "1", "0", "0", "1", "1", "1", "1", "0", "0", "0", "0", "0", "0", "1", "1", "1", "1", "0" ]
[ "nonn", "new" ]
6
0
null
[ "A380173", "A380668", "A381735", "A382971", "A382972", "A383028" ]
null
Paul Cousin, Apr 13 2025
2025-04-18T21:31:45
oeisdata/seq/A383/A383028.seq
123e34072fdb90069e2ff0c8c8fa8cea
A383029
Exponent of the highest power of 2 dividing the n-th exponentially odd number.
[ "0", "1", "0", "0", "1", "0", "3", "1", "0", "0", "1", "0", "0", "0", "0", "1", "0", "3", "1", "0", "0", "1", "0", "5", "0", "1", "0", "0", "1", "0", "3", "0", "1", "0", "1", "0", "0", "0", "1", "0", "3", "0", "1", "0", "0", "1", "0", "1", "0", "0", "1", "0", "0", "1", "0", "1", "0", "1", "0", "0", "1", "0", "3", "0", "0", "0", "1", "0", "5", "0", "0", "1", "0", "3", "0", "1", "0", "0", "1", "0", "0", "1", "0", "1", "0", "3", "1" ]
[ "nonn", "easy" ]
8
1
7
[ "A007814", "A268335", "A383029", "A383030" ]
null
Amiram Eldar, Apr 13 2025
2025-04-13T16:32:25
oeisdata/seq/A383/A383029.seq
6529a1e177c858df67d7f1f83d6f2b66
A383030
Indices of the even terms in the sequence of exponentially odd numbers.
[ "2", "5", "7", "8", "11", "16", "18", "19", "22", "24", "26", "29", "31", "33", "35", "39", "41", "43", "46", "48", "51", "54", "56", "58", "61", "63", "67", "69", "72", "74", "76", "79", "82", "84", "86", "87", "91", "93", "96", "98", "100", "103", "106", "109", "110", "113", "115", "119", "121", "122", "124", "126", "129", "131", "133", "136", "139", "144", "147", "149", "152" ]
[ "nonn", "easy" ]
7
1
1
[ "A268335", "A376218", "A383029", "A383030", "A383031" ]
null
Amiram Eldar, Apr 13 2025
2025-04-13T16:32:32
oeisdata/seq/A383/A383030.seq
8a2572096edf71f6e544530b121a9fdf
A383031
Indices of the squarefree terms in the sequence of exponentially odd numbers.
[ "1", "2", "3", "4", "5", "6", "8", "9", "10", "11", "12", "13", "14", "15", "16", "17", "19", "21", "22", "23", "25", "26", "27", "28", "29", "30", "32", "33", "34", "35", "36", "37", "38", "40", "42", "43", "44", "45", "46", "47", "48", "49", "50", "51", "52", "53", "54", "55", "56", "57", "58", "59", "60", "61", "62", "64", "65", "66", "67", "68", "70", "71", "72", "73", "75", "76", "77", "78" ]
[ "nonn", "easy" ]
6
1
2
[ "A005117", "A059956", "A065463", "A268335", "A383030", "A383031" ]
null
Amiram Eldar, Apr 13 2025
2025-04-13T16:32:37
oeisdata/seq/A383/A383031.seq
d71f883dcbb734e5ff25d694bc49d7fd
A383032
Exponent of the highest power of 2 dividing the n-th number that is either a square or twice a square.
[ "0", "1", "2", "3", "0", "4", "1", "0", "5", "2", "0", "1", "6", "3", "0", "1", "2", "0", "7", "4", "1", "0", "2", "3", "0", "1", "8", "5", "0", "2", "1", "0", "3", "4", "0", "1", "2", "9", "0", "6", "1", "0", "3", "2", "1", "0", "4", "5", "0", "1", "2", "0", "3", "10", "1", "0", "7", "2", "0", "1", "4", "3", "0", "2", "1", "0", "5", "6", "0", "1", "2", "3", "0", "1", "4", "0", "11", "2", "1", "0", "8", "3", "0", "1", "2", "5", "0" ]
[ "nonn", "easy" ]
13
1
3
[ "A001521", "A001954", "A003151", "A003152", "A007814", "A014176", "A028982", "A215247", "A342280", "A383032" ]
null
Amiram Eldar, Apr 13 2025
2025-04-13T14:56:16
oeisdata/seq/A383/A383032.seq
048ca2f2716ece1508dedcb5322d2d2e
A383033
Square array A(n,k), n >= 1, k >= 1, read by antidiagonals downwards, where A(n,k) is the n-th term of the inverse Weigh transform of j-> k^(j-1).
[ "1", "1", "1", "1", "2", "0", "1", "3", "2", "1", "1", "4", "6", "5", "0", "1", "5", "12", "18", "6", "0", "1", "6", "20", "46", "42", "11", "0", "1", "7", "30", "95", "156", "113", "18", "1", "1", "8", "42", "171", "420", "566", "294", "35", "0", "1", "9", "56", "280", "930", "1930", "2028", "798", "56", "0", "1", "10", "72", "428", "1806", "5185", "8820", "7396", "2128", "105", "0" ]
[ "nonn", "tabl" ]
11
1
5
[ "A209229", "A316073", "A383023", "A383033", "A383034", "A383035" ]
null
Seiichi Manyama, Apr 13 2025
2025-04-13T11:41:12
oeisdata/seq/A383/A383033.seq
cd6e2a3a46e423490d0a2c459ff1a4ce
A383034
Inverse Weigh transform of 2^(n-1).
[ "1", "2", "2", "5", "6", "11", "18", "35", "56", "105", "186", "346", "630", "1179", "2182", "4115", "7710", "14588", "27594", "52482", "99858", "190743", "364722", "699216", "1342176", "2581425", "4971008", "9587574", "18512790", "35792449", "69273666", "134219795", "260300986", "505294125", "981706806", "1908881548", "3714566310" ]
[ "nonn" ]
16
1
2
[ "A000079", "A209229", "A306156", "A383033", "A383034" ]
null
Seiichi Manyama, Apr 13 2025
2025-04-13T11:26:30
oeisdata/seq/A383/A383034.seq
19b880afbd11bd5284fab3d522822261
A383035
Inverse Weigh transform of 3^(n-1).
[ "1", "3", "6", "18", "42", "113", "294", "798", "2128", "5823", "15918", "43998", "122010", "340617", "954394", "2686728", "7588770", "21509824", "61144062", "174289710", "498012094", "1426229109", "4092816966", "11767220068", "33890202192", "97761550215", "282424564744", "817018885362", "2366546223930", "6863002420335" ]
[ "nonn" ]
13
1
2
[ "A306156", "A306157", "A383033", "A383035" ]
null
Seiichi Manyama, Apr 13 2025
2025-04-13T11:27:36
oeisdata/seq/A383/A383035.seq
288364e6eba991ac5018a3d04b32b1a4
A383037
a(n) is the excess of composites over primes in the first n odd positive integers.
[ "0", "-1", "-2", "-3", "-2", "-3", "-4", "-3", "-4", "-5", "-4", "-5", "-4", "-3", "-4", "-5", "-4", "-3", "-4", "-3", "-4", "-5", "-4", "-5", "-4", "-3", "-4", "-3", "-2", "-3", "-4", "-3", "-2", "-3", "-2", "-3", "-4", "-3", "-2", "-3", "-2", "-3", "-2", "-1", "-2", "-1", "0", "1", "0", "1", "0", "-1", "0", "-1", "-2", "-1", "-2", "-1", "0", "1", "2", "3", "4", "3", "4", "3", "4", "5", "4", "3", "4" ]
[ "sign", "easy", "new" ]
10
1
3
[ "A000720", "A005408", "A065091", "A071904", "A072731", "A097454", "A118777", "A210469", "A383037" ]
null
Felix Huber, Apr 19 2025
2025-04-24T13:24:18
oeisdata/seq/A383/A383037.seq
da3503044a62b190d89ac466a55fead0
A383039
Sum of the legs of the unique primitive Pythagorean triple (a,b,c) such that (a-b+c)/2 = A000032(n) and its long leg and hypotenuse are consecutive natural numbers.
[ "7", "1", "17", "31", "97", "241", "647", "1681", "4417", "11551", "30257", "79201", "207367", "542881", "1421297", "3720991", "9741697", "25504081", "66770567", "174807601", "457652257", "1198149151", "3136795217", "8212236481", "21499914247", "56287506241", "147362604497", "385800307231", "1010038317217", "2644314644401", "6922905616007" ]
[ "nonn", "easy", "new" ]
11
0
1
[ "A000032", "A001254", "A382379", "A382409", "A382410", "A383039" ]
null
Miguel-Ángel Pérez García-Ortega, Apr 13 2025
2025-04-22T15:42:05
oeisdata/seq/A383/A383039.seq
a0dadbc084f58b8730b3b7f685bf7c52
A383040
Number of king permutations on n elements avoiding the mesh pattern (12, {(0,1),(0,2),(1,0),(2,0)}).
[ "1", "1", "0", "0", "2", "12", "78", "568", "4674", "42944", "436314", "4860020", "58914870", "772330276", "10888803374", "164310553184", "2642525580218", "45124440536632", "815438318526482", "15547317496485932", "311912067538692126", "6568399090178800988", "144867849880285518694", "3339550150164041194232", "80315480372245746015970" ]
[ "nonn", "easy", "new" ]
25
0
5
[ "A002464", "A382644", "A382645", "A382651", "A383040" ]
null
Dan Li, Apr 22 2025
2025-04-25T15:11:41
oeisdata/seq/A383/A383040.seq
ba4b428f3270cc4a670dcb39be1c10ec
A383041
Primes p such that for some y > 0, 2^y == 3^y == 2 (mod p).
[ "331", "1210483", "45661129", "107889071" ]
[ "nonn", "more", "new" ]
13
1
1
null
null
Kevin Knight, Apr 13 2025
2025-04-26T03:33:18
oeisdata/seq/A383/A383041.seq
fc6989d806ca882ab3f2299dfced35a9
A383042
Square array A(n,k), n >= 1, k >= 1, read by antidiagonals downwards, where A(n,k) is the n-th term of the inverse Euler transform of j-> k^(j-1).
[ "1", "1", "0", "1", "1", "0", "1", "2", "2", "0", "1", "3", "6", "3", "0", "1", "4", "12", "15", "6", "0", "1", "5", "20", "42", "42", "9", "0", "1", "6", "30", "90", "156", "107", "18", "0", "1", "7", "42", "165", "420", "554", "294", "30", "0", "1", "8", "56", "273", "930", "1910", "2028", "780", "56", "0", "1", "9", "72", "420", "1806", "5155", "8820", "7350", "2128", "99", "0" ]
[ "nonn", "tabl", "new" ]
18
1
8
[ "A000007", "A008683", "A059966", "A065177", "A065178", "A065179", "A065180", "A074650", "A306173", "A383033", "A383042" ]
null
Seiichi Manyama, Apr 13 2025
2025-04-14T07:40:09
oeisdata/seq/A383/A383042.seq
a11b13c5fbf1abae5c3b4dea5accb3de
A383043
Integers k such that d*2^k - 1 is prime for some proper divisor d of k.
[ "2", "3", "4", "5", "6", "7", "10", "12", "13", "16", "17", "18", "19", "21", "28", "30", "31", "36", "42", "46", "54", "60", "61", "63", "75", "88", "89", "99", "102", "104", "106", "107", "108", "126", "127", "132", "133", "204", "214", "216", "225", "264", "270", "286", "304", "306", "324", "330", "342", "352", "390", "414", "420", "456", "462", "468" ]
[ "nonn", "new" ]
13
1
1
[ "A000043", "A002234", "A032741", "A382811", "A383043" ]
null
Juri-Stepan Gerasimov, Apr 19 2025
2025-04-27T18:12:09
oeisdata/seq/A383/A383043.seq
6947f5592f72921bfd41436848fd8975
A383044
Numbers m such that phi(m) + phi(m+phi(m)) = m where phi is the Euler totient function.
[ "4", "6", "8", "10", "12", "14", "16", "20", "24", "28", "32", "40", "48", "56", "64", "70", "80", "94", "96", "112", "128", "140", "160", "188", "192", "224", "256", "280", "320", "376", "384", "448", "512", "560", "640", "752", "768", "896", "1024", "1120", "1280", "1504", "1536", "1792", "2048", "2240", "2560", "3008", "3072", "3584", "4096", "4480", "5120", "6016", "6144", "7168", "8192", "8960" ]
[ "nonn", "new" ]
7
1
1
[ "A000010", "A121048", "A383044" ]
null
Michel Marcus, Apr 14 2025
2025-04-14T07:39:38
oeisdata/seq/A383/A383044.seq
7212658725d128ccf9c4c6fa5730b0e6
A383045
Integers k for which the sum of digits of Fibonacci(k) is a Fibonacci number.
[ "0", "1", "2", "3", "4", "5", "6", "8", "13", "28", "33", "49", "85", "94", "107", "286", "299", "366", "421", "422", "443", "657", "2807", "4483", "4531", "18694", "49140", "79033", "79850", "80290", "128306", "129049", "129618", "208245", "338888", "546571", "882766", "883822", "886342" ]
[ "nonn", "base", "more", "new" ]
13
1
3
[ "A000045", "A004090", "A020995", "A067515", "A382053", "A383045" ]
null
Michel Marcus, Apr 14 2025
2025-04-14T09:03:41
oeisdata/seq/A383/A383045.seq
d0d72fbfed5202d3aaf5c6ec2fc0b2b7
A383047
Squarefree d such that x^3+y^3=z^3 has non-trivial solution in Q(sqrt(d)).
[ "2", "5", "6", "11", "14", "15", "17", "23", "26", "29", "33", "35", "38", "41", "42", "43", "47", "51", "53", "58", "59", "62", "65", "69", "71", "74", "77", "78", "82", "83", "85", "86", "87", "89", "93", "95", "101", "105", "106", "107", "109", "110", "113", "114", "119", "122", "123", "131", "134", "137", "141", "142", "143", "146", "149", "155", "158", "159", "161", "167", "170" ]
[ "nonn", "new" ]
13
1
1
[ "A383047", "A383048" ]
null
Seiichi Azuma, Apr 14 2025
2025-04-21T23:08:13
oeisdata/seq/A383/A383047.seq
dc870de4bae26985adb946c5752d7868
A383048
Squarefree d such that x^3+y^3=z^3 has non-trivial solution in Q(sqrt(-d)).
[ "2", "5", "6", "11", "14", "15", "17", "23", "26", "29", "31", "33", "35", "38", "41", "42", "47", "51", "53", "59", "62", "65", "69", "71", "74", "77", "78", "83", "86", "87", "89", "95", "101", "105", "106", "107", "109", "110", "113", "114", "119", "122", "123", "129", "131", "134", "137", "141", "143", "14", "149", "155", "158", "159", "161", "167", "170", "173", "174", "177", "179" ]
[ "nonn", "new" ]
13
1
1
[ "A383047", "A383048" ]
null
Seiichi Azuma, Apr 14 2025
2025-04-21T23:08:43
oeisdata/seq/A383/A383048.seq
9e20ef39704f29d34085a12b754535c2
A383049
Square array A(n,k), n >= 0, k >= 0, read by antidiagonals downwards, where A(n,k) is the n-th term of the inverse Stirling transform of j-> (j+1)^k.
[ "1", "1", "1", "1", "2", "0", "1", "4", "1", "0", "1", "8", "5", "-1", "0", "1", "16", "19", "-3", "2", "0", "1", "32", "65", "-1", "4", "-6", "0", "1", "64", "211", "45", "-10", "-8", "24", "0", "1", "128", "665", "359", "-116", "48", "20", "-120", "0", "1", "256", "2059", "2037", "-538", "340", "-234", "-52", "720", "0", "1", "512", "6305", "10079", "-1316", "984", "-1240", "1302", "72", "-5040", "0" ]
[ "sign", "tabl", "new" ]
17
0
5
[ "A019590", "A222627", "A222636", "A222748", "A223023", "A302190", "A362924", "A362925", "A383049", "A383050", "A383051" ]
null
Seiichi Manyama, Apr 14 2025
2025-04-15T08:25:42
oeisdata/seq/A383/A383049.seq
03579c3c255269cf1db17e4889b6d60b
A383050
a(n) = Sum_{k=0..n} (k+1)^6 * Stirling1(n,k).
[ "1", "64", "665", "2037", "-1316", "-1148", "16400", "-116032", "809592", "-6059424", "49512792", "-442266888", "4302605280", "-45351578400", "515054655360", "-6268075470720", "81309027784320", "-1118525784929280", "16235659302272640", "-247395991797912960", "3936073920965890560", "-64988868076072657920" ]
[ "sign", "new" ]
12
0
2
[ "A383049", "A383050" ]
null
Seiichi Manyama, Apr 14 2025
2025-04-15T08:26:05
oeisdata/seq/A383/A383050.seq
88b19b64a5be2b901013aa46a24ceffa
A383051
a(n) is the n-th term of the inverse Stirling transform of j-> (j+1)^n.
[ "1", "2", "5", "-1", "-116", "984", "16400", "-788418", "5474016", "941115360", "-51647682648", "-264087895512", "244846563852864", "-16953959408998080", "-436871956049596800", "219647419965976413744", "-20283048895473275917824", "-877465277974899660349440", "545297904370739513319183360" ]
[ "sign", "new" ]
13
0
2
[ "A320082", "A367820", "A383049", "A383051" ]
null
Seiichi Manyama, Apr 14 2025
2025-04-15T08:25:38
oeisdata/seq/A383/A383051.seq
6e277db82a41e8ff36a3f74f307cc82f
A383052
a(n) = Sum_{k=0..n} (k+1)^3 * Stirling2(n,k).
[ "1", "8", "35", "153", "706", "3479", "18313", "102678", "610989", "3844525", "25492752", "177579961", "1295811637", "9879799744", "78525094847", "649253421173", "5573667453498", "49595062947091", "456689512735421", "4345710521536150", "42675672248378721", "431963852263306569", "4501627598926298992" ]
[ "nonn", "new" ]
11
0
2
[ "A000110", "A222636", "A362925", "A383052" ]
null
Seiichi Manyama, Apr 14 2025
2025-04-15T08:26:39
oeisdata/seq/A383/A383052.seq
d4250287275abe732edc6ae30dca20fa
A383053
a(n) = Sum_{k=0..n} (k+1)^4 * Stirling2(n,k).
[ "1", "16", "97", "515", "2744", "15177", "88033", "536882", "3441439", "23151411", "163135410", "1201594675", "9232595661", "73858810120", "614045917741", "5296398334735", "47321198203496", "437310785441381", "4174403973827181", "41107555809612466", "417122543915965091", "4356601173778017487" ]
[ "nonn", "new" ]
10
0
2
[ "A000110", "A222748", "A362925", "A383053" ]
null
Seiichi Manyama, Apr 14 2025
2025-04-15T08:26:34
oeisdata/seq/A383/A383053.seq
163274dbfa2494ddca60051807d479b0
A383054
a(n) = Sum_{k=0..n} (k+1)^5 * Stirling2(n,k).
[ "1", "32", "275", "1785", "11002", "68303", "436297", "2891670", "19947717", "143327725", "1072207680", "8342947657", "67440657877", "565603592392", "4914839764895", "44191989524117", "410644596021954", "3938713285932859", "38950532224469117", "396712750010963782", "4157217331880368521" ]
[ "nonn", "new" ]
12
0
2
[ "A000110", "A223023", "A362925", "A383054" ]
null
Seiichi Manyama, Apr 14 2025
2025-04-15T08:26:44
oeisdata/seq/A383/A383054.seq
2d37bda5a82aaf9fb1686762c8a472b4
A383055
Numerators of the partial sums of the reciprocals of the number of unitary divisors function (A034444).
[ "1", "3", "2", "5", "3", "13", "15", "17", "19", "5", "11", "23", "25", "13", "27", "29", "31", "8", "17", "35", "9", "37", "39", "10", "21", "43", "45", "23", "12", "97", "101", "105", "107", "109", "111", "113", "117", "119", "121", "123", "127", "16", "33", "67", "17", "69", "71", "18", "37", "75", "19", "77", "79", "20", "81", "41", "83", "21", "43", "173", "177", "179", "181", "185" ]
[ "nonn", "easy", "frac", "new" ]
8
1
2
[ "A002161", "A034444", "A064608", "A104528", "A345288", "A370898", "A379513", "A383055", "A383056" ]
null
Amiram Eldar, Apr 15 2025
2025-04-15T10:26:24
oeisdata/seq/A383/A383055.seq
677a345747fa7bb8a2fea8a7d1ab69b1
A383056
Denominators of the partial sums of the reciprocals of the number of unitary divisors function (A034444).
[ "1", "2", "1", "2", "1", "4", "4", "4", "4", "1", "2", "4", "4", "2", "4", "4", "4", "1", "2", "4", "1", "4", "4", "1", "2", "4", "4", "2", "1", "8", "8", "8", "8", "8", "8", "8", "8", "8", "8", "8", "8", "1", "2", "4", "1", "4", "4", "1", "2", "4", "1", "4", "4", "1", "4", "2", "4", "1", "2", "8", "8", "8", "8", "8", "8", "2", "1", "4", "2", "8", "8", "8", "8", "8", "8", "8", "8", "1", "2", "4", "4", "2", "1", "8", "8", "8", "8", "8" ]
[ "nonn", "easy", "frac", "new" ]
7
1
2
[ "A034444", "A064608", "A104529", "A370898", "A379514", "A383055", "A383056" ]
null
Amiram Eldar, Apr 15 2025
2025-04-15T10:26:19
oeisdata/seq/A383/A383056.seq
ee3959b27d4e91654083ccb910703778
A383057
Decimal expansion of the asymptotic mean of A056671(k)/A034444(k), the ratio between the number of squarefree unitary divisors and the number of unitary divisors over the positive integers.
[ "7", "8", "9", "3", "6", "2", "6", "0", "1", "2", "6", "0", "9", "8", "9", "0", "2", "9", "1", "0", "3", "7", "0", "8", "6", "2", "9", "2", "5", "1", "3", "9", "6", "8", "9", "2", "7", "6", "8", "5", "1", "6", "7", "6", "0", "5", "2", "6", "9", "1", "6", "5", "0", "5", "3", "3", "3", "6", "8", "4", "7", "4", "1", "6", "1", "3", "6", "0", "9", "9", "3", "9", "8", "8", "2", "2", "5", "2", "7", "5", "3", "6", "3", "2", "5", "0", "2", "0", "3", "4", "3", "4", "4", "8", "7", "0", "9", "9", "0", "8", "4", "9", "1", "1", "4" ]
[ "nonn", "cons", "new" ]
6
0
1
[ "A034444", "A056671", "A082020", "A308043", "A383057", "A383058" ]
null
Amiram Eldar, Apr 15 2025
2025-04-15T10:26:12
oeisdata/seq/A383/A383057.seq
9fb19e12caeffb8f3a4b6985efe6ecb9
A383058
Decimal expansion of the asymptotic mean of A365498(k)/A034444(k), the ratio between the number of cubefree unitary divisors and the number of unitary divisors over the positive integers.
[ "9", "1", "4", "2", "9", "4", "4", "1", "1", "8", "0", "1", "9", "8", "0", "6", "2", "4", "4", "8", "2", "9", "6", "1", "7", "6", "4", "5", "2", "1", "5", "6", "7", "1", "8", "4", "3", "7", "8", "5", "4", "6", "6", "9", "1", "7", "8", "1", "9", "3", "6", "8", "6", "6", "5", "9", "1", "9", "9", "7", "9", "7", "6", "7", "0", "0", "8", "5", "3", "4", "3", "8", "8", "3", "2", "0", "5", "6", "7", "6", "0", "8", "0", "0", "7", "1", "0", "7", "6", "7", "3", "6", "5", "0", "0", "4", "2", "6", "2", "6", "0", "5", "8", "2", "4" ]
[ "nonn", "cons", "new" ]
5
0
1
[ "A034444", "A157289", "A361062", "A365498", "A383057", "A383058" ]
null
Amiram Eldar, Apr 15 2025
2025-04-15T10:26:04
oeisdata/seq/A383/A383058.seq
e1350076de8b955f7c5b1f1b5aa4ab1f
A383059
Lexicographically earliest sequence of distinct nonnegative integers such that if a digit d in the digit stream (ignoring commas) is odd, the previous digit is < d.
[ "0", "1", "2", "3", "4", "5", "6", "7", "8", "9", "20", "10", "12", "22", "23", "24", "25", "26", "27", "28", "29", "40", "13", "42", "30", "14", "44", "45", "46", "47", "48", "49", "60", "15", "62", "32", "34", "50", "16", "64", "52", "35", "66", "67", "68", "69", "80", "17", "82", "36", "70", "18", "84", "54", "56", "72", "37", "86", "74", "57", "88", "89", "200", "19", "201", "38", "90", "39", "202", "58" ]
[ "nonn", "base", "look", "new" ]
9
1
3
[ "A342042", "A342043", "A342044", "A342045", "A382462", "A382621", "A382935", "A383059", "A383060", "A383061", "A383062", "A383063" ]
null
Paolo Xausa, Apr 18 2025
2025-04-19T18:02:13
oeisdata/seq/A383/A383059.seq
9fce33c7d4e8d78dbd98e03af10e69f3
A383060
First differences of A383059.
[ "1", "1", "1", "1", "1", "1", "1", "1", "1", "11", "-10", "2", "10", "1", "1", "1", "1", "1", "1", "1", "11", "-27", "29", "-12", "-16", "30", "1", "1", "1", "1", "1", "11", "-45", "47", "-30", "2", "16", "-34", "48", "-12", "-17", "31", "1", "1", "1", "11", "-63", "65", "-46", "34", "-52", "66", "-30", "2", "16", "-35", "49", "-12", "-17", "31", "1", "111", "-181", "182", "-163", "52", "-51", "163", "-144" ]
[ "sign", "base", "new" ]
6
1
10
[ "A383059", "A383060" ]
null
Paolo Xausa, Apr 18 2025
2025-04-19T18:02:25
oeisdata/seq/A383/A383060.seq
ffb4fa1a500a8f541972c2d861cc18c4
A383061
Positive integers that contain an odd digit d immediately preceded by a digit >= d.
[ "11", "21", "31", "33", "41", "43", "51", "53", "55", "61", "63", "65", "71", "73", "75", "77", "81", "83", "85", "87", "91", "93", "95", "97", "99", "110", "111", "112", "113", "114", "115", "116", "117", "118", "119", "121", "131", "133", "141", "143", "151", "153", "155", "161", "163", "165", "171", "173", "175", "177", "181", "183", "185", "187", "191", "193", "195", "197", "199" ]
[ "nonn", "base", "easy", "new" ]
8
1
1
[ "A347298", "A382464", "A382623", "A382937", "A383059", "A383061", "A383062" ]
null
Paolo Xausa, Apr 18 2025
2025-04-19T18:02:33
oeisdata/seq/A383/A383061.seq
78d4adbe9f7ae5eb45e034e08af81494
A383062
Nonnegative integers such that every odd digit except the leftmost is immediately preceded by a smaller digit.
[ "0", "1", "2", "3", "4", "5", "6", "7", "8", "9", "10", "12", "13", "14", "15", "16", "17", "18", "19", "20", "22", "23", "24", "25", "26", "27", "28", "29", "30", "32", "34", "35", "36", "37", "38", "39", "40", "42", "44", "45", "46", "47", "48", "49", "50", "52", "54", "56", "57", "58", "59", "60", "62", "64", "66", "67", "68", "69", "70", "72", "74", "76", "78", "79", "80", "82", "84", "86", "88", "89", "90" ]
[ "nonn", "base", "easy", "new" ]
7
1
3
[ "A377912", "A382465", "A382624", "A382938", "A383059", "A383061", "A383062" ]
null
Paolo Xausa, Apr 18 2025
2025-04-19T18:02:40
oeisdata/seq/A383/A383062.seq
40271db9e621c8595a43bffd2adfc7f6
A383063
Split A383059 into runs of increasing elements. a(n) is the length of the n-th run.
[ "11", "11", "2", "1", "8", "2", "3", "2", "1", "6", "2", "2", "2", "3", "2", "1", "4", "2", "2", "2", "2", "2", "3", "2", "8", "11", "9", "9", "8", "8", "7", "7", "6", "2", "1", "6", "9", "2", "9", "2", "8", "2", "7", "2", "7", "2", "6", "2", "1", "6", "5", "5", "2", "2", "2", "2", "1", "2", "1", "7", "2", "2", "4", "7", "2", "1", "2", "7", "2", "4", "6", "4", "2", "1", "2", "5", "2", "2", "7", "2", "2", "4", "2", "1", "2", "4", "2", "2", "1", "2", "1" ]
[ "nonn", "base", "new" ]
5
1
1
[ "A383059", "A383063" ]
null
Paolo Xausa, Apr 18 2025
2025-04-19T18:02:48
oeisdata/seq/A383/A383063.seq
1d2b07727aa4ac90ed3b4d4a763a9014
A383064
Square array A(n,k), n>=0, k>=0, read by antidiagonals downwards, where column k is the expansion of e.g.f. Sum_{j>=0} (j+1)^k * (-log(1-x))^j / j!.
[ "1", "1", "1", "1", "2", "2", "1", "4", "5", "6", "1", "8", "13", "17", "24", "1", "16", "35", "51", "74", "120", "1", "32", "97", "161", "244", "394", "720", "1", "64", "275", "531", "854", "1392", "2484", "5040", "1", "128", "793", "1817", "3148", "5248", "9260", "18108", "40320", "1", "256", "2315", "6411", "12134", "20940", "36966", "70508", "149904", "362880" ]
[ "nonn", "tabl", "new" ]
12
0
5
[ "A192563", "A344639", "A383064" ]
null
Seiichi Manyama, Apr 15 2025
2025-04-15T08:26:29
oeisdata/seq/A383/A383064.seq
5379f321bd7d568bc5f597debbfba757
A383065
Integers k such that (k/rad(k))*2^rad(k) - 1 is prime where rad = A007947.
[ "2", "3", "4", "5", "7", "9", "12", "13", "16", "17", "18", "19", "27", "31", "36", "50", "60", "61", "64", "80", "89", "107", "108", "112", "127", "135", "147", "189", "200", "212", "243", "252", "343", "448", "464", "500", "521", "576", "600", "607", "612", "648", "675", "688", "756", "768", "784", "800", "832", "875", "900", "1058", "1212", "1279", "1280" ]
[ "nonn", "new" ]
17
1
1
[ "A000043", "A002234", "A003557", "A007947", "A172461", "A383065" ]
null
Juri-Stepan Gerasimov, Apr 19 2025
2025-04-27T18:11:27
oeisdata/seq/A383/A383065.seq
e834bd0ea99c126a2dc75842fbe9a8cc
A383066
A 2-regular sequence associated with the number of divisors of n^2 + 1 (A193432).
[ "0", "1", "1", "2", "3", "3", "2", "3", "7", "8", "5", "5", "8", "7", "3", "4", "13", "17", "12", "13", "21", "18", "7", "7", "18", "21", "13", "12", "17", "13", "4", "5", "21", "30", "23", "27", "46", "41", "17", "18", "47", "55", "34", "31", "43", "32", "9", "9", "32", "43", "31", "34", "55", "47", "18", "17", "41", "46", "27", "23", "30", "21", "5", "6", "31", "47", "38", "47", "83", "76", "33" ]
[ "nonn", "look", "new" ]
19
1
4
[ "A193432", "A383066" ]
null
Jeffrey Shallit, Apr 15 2025
2025-04-17T14:55:47
oeisdata/seq/A383/A383066.seq
412091c3a9e71c4b99899f838f2196ef
A383067
The set of positive integers k which can be expressed as a sum of two units in some cyclic cubic field.
[ "1", "2", "3", "4", "5", "7", "19", "22" ]
[ "nonn", "fini", "full", "new" ]
6
1
2
[ "A383067", "A383068" ]
null
Robin Visser, Apr 15 2025
2025-04-19T06:16:07
oeisdata/seq/A383/A383067.seq
afdd52857f7ab56a5a1c69749c2f8ed3
A383068
The set of all integers k >= -1 with the property that there exist integers X and Y such that X*Y*(X+Y) is nonzero and X^3 - k*X^2*Y - (k+3)*X*Y^2 - Y^3 is a divisor of k^2 + 3*k + 9.
[ "-1", "0", "1", "2", "3", "5", "12", "54", "66", "1259", "2389" ]
[ "sign", "fini", "full", "new" ]
9
1
4
[ "A379019", "A383067", "A383068" ]
null
Robin Visser, Apr 15 2025
2025-04-19T06:16:00
oeisdata/seq/A383/A383068.seq
d89e3c50d59d0863a379cc6389b86b07
A383069
Lexicographically earliest sequence of distinct positive integers such that a(a(n)) shares a factor with a(a(n-1)).
[ "2", "3", "6", "1", "7", "8", "10", "5", "11", "35", "14", "9", "15", "22", "33", "12", "13", "16", "18", "19", "21", "24", "17", "39", "20", "27", "38", "23", "30", "34", "25", "29", "36", "26", "40", "42", "28", "68", "247", "45", "31", "69", "32", "46", "50", "58", "37", "43", "44", "52", "41", "62", "47", "55", "74", "48", "59", "54", "215", "49", "56", "1147", "51", "65", "82", "53", "70", "92", "145", "94", "57", "73", "118" ]
[ "nonn", "new" ]
9
1
1
[ "A064413", "A378030", "A378098", "A378116", "A383069" ]
null
Scott R. Shannon, Apr 15 2025
2025-04-21T10:46:56
oeisdata/seq/A383/A383069.seq
d2f1d6d5d5b6acd877f51eef735c1777
A383070
Number of n-digit positive integers where all pairs of consecutive digits have a difference of at least 2.
[ "9", "64", "463", "3341", "24125", "174172", "1257515", "9079056", "65549673", "473259806", "3416873920", "24669378486", "178109665460", "1285928315349", "9284233050564", "67030939539430", "483954553287069", "3494088121160674", "25226855944238001", "182134576675940879", "1314987650245129696" ]
[ "nonn", "base", "easy", "new" ]
21
1
1
[ "A052268", "A100062", "A383070", "A383071", "A383072" ]
null
Edwin Hermann, Apr 15 2025
2025-04-15T22:05:44
oeisdata/seq/A383/A383070.seq
8a0dd22cb0d77bc68da276894af9e574
A383071
Number of n-digit positive integers where all pairs of consecutive digits have a difference of at least 3.
[ "9", "49", "282", "1597", "9110", "51800", "294962", "1678509", "9554447", "54379100", "309516061", "1761665068", "10026939872", "57070448658", "324829258129", "1848836718933", "10523062986178", "59894327810129", "340901772402794", "1940317523613740", "11043744749517210", "62857906319753189" ]
[ "nonn", "base", "easy", "new" ]
21
1
1
[ "A052268", "A100062", "A383070", "A383071", "A383072" ]
null
Edwin Hermann, Apr 15 2025
2025-04-15T22:06:46
oeisdata/seq/A383/A383071.seq
2a442039f05ef45dbee172be4d29eefd
A383072
Number of n-digit positive integers where all pairs of consecutive digits have a difference of at least 4.
[ "9", "36", "166", "722", "3224", "14236", "63172", "279728", "1239800", "5492776", "24339328", "107843024", "477848240", "2117296288", "9381580672", "41568964736", "184188672416", "816124473376", "3616179527008", "16022988545120", "70996522976672", "314579653288672", "1393876135246624", "6176148562918496" ]
[ "nonn", "base", "easy", "new" ]
23
1
1
[ "A052268", "A100062", "A383070", "A383071", "A383072" ]
null
Edwin Hermann, Apr 15 2025
2025-04-15T22:06:17
oeisdata/seq/A383/A383072.seq
78336104772d9d0c6f82458cb747107d
A383073
a(n) = [x^n] Product_{k=1..n} (1 + x^k)^binomial(n,k).
[ "1", "1", "2", "11", "69", "552", "5133", "53804", "626440", "7979043", "110074741", "1631532542", "25813521836", "433619035254", "7698641650937", "143908414079881", "2822753485000135", "57930283521990154", "1240695879627856673", "27666701629865989070", "641049490249340264699" ]
[ "nonn", "new" ]
12
0
3
[ "A026007", "A102866", "A344130", "A360660", "A369578", "A383073" ]
null
Vaclav Kotesovec, Apr 15 2025
2025-04-15T09:41:02
oeisdata/seq/A383/A383073.seq
bae33bc9e9ddb210a98c569c692c4aef
A383074
a(n) = floor(A066206(n)/A066205(n)).
[ "1", "2", "2", "2", "3", "4", "4", "4", "5", "5", "5", "6", "6", "6", "7", "7", "7", "7", "7", "8", "8", "8", "8", "8", "8", "9", "9", "9", "9", "9", "10", "10", "10", "10", "10", "10", "11", "11", "11", "11", "11", "11", "11", "12", "12", "12", "12", "12", "12", "13", "13", "13", "13", "14", "14", "14", "14", "14", "14", "14", "15", "15", "15", "15", "15", "15", "15", "16", "16", "16", "16", "16" ]
[ "nonn", "new" ]
4
1
2
[ "A000040", "A066205", "A066206", "A383074" ]
null
Clark Kimberling, Apr 19 2025
2025-04-26T16:32:22
oeisdata/seq/A383/A383074.seq
e0b1005ec88a62c8ae9203e2e5c795fd
A383075
Smallest number m such that m*(m + 1)*(2*m + 1)/6 is divisible by n.
[ "1", "3", "4", "7", "2", "4", "3", "15", "13", "4", "5", "8", "6", "3", "4", "31", "8", "27", "9", "7", "13", "11", "11", "31", "12", "12", "40", "7", "14", "4", "15", "63", "22", "8", "7", "40", "18", "19", "13", "15", "20", "27", "21", "16", "27", "11", "23", "31", "24", "12", "8", "32", "26", "40", "5", "31", "9", "28", "29", "40", "30", "15", "13", "127", "12", "27", "33", "8", "22", "7", "35" ]
[ "nonn", "new" ]
23
1
2
[ "A000330", "A011772", "A383075" ]
null
Ctibor O. Zizka, Apr 15 2025
2025-04-21T16:59:59
oeisdata/seq/A383/A383075.seq
5f3802d2772ef441f844dda0a0da9bbf
A383077
Number of n-digit positive integers where all pairs of consecutive digits have a difference of at least 5
[ "9", "25", "95", "325", "1152", "4035", "14191", "49840", "175126", "615251", "2161615", "7594445", "26681890", "93742420", "329348786", "1157113228", "4065328917", "14282870761", "50180539756", "176301151441", "619405374858", "2176179878029", "7645653483902", "26861757974676", "94374410640201", "331569117405852" ]
[ "nonn", "easy", "new" ]
9
1
1
[ "A052268", "A100062", "A383070", "A383071", "A383072", "A383077" ]
null
Edwin Hermann, Apr 15 2025
2025-04-18T13:35:20
oeisdata/seq/A383/A383077.seq
76c70e7f0242726b9fb9f3eafe4423f8
A383078
Number of n-digit positive integers where all pairs of consecutive digits have a difference of at least 6.
[ "9", "16", "50", "140", "407", "1168", "3367", "9691", "27908", "80354", "231374", "666211", "1918282", "5523469", "15904199", "45794312", "131859470", "379674208", "1093228315", "3147825472", "9063802211", "26098178315", "75146709476", "216376326214", "623030800330", "1793945691511", "5165460748322", "14873351444633" ]
[ "nonn", "easy", "new" ]
10
1
1
[ "A052268", "A100062", "A147704", "A383070", "A383071", "A383072", "A383077", "A383078" ]
null
Edwin Hermann, Apr 15 2025
2025-04-18T13:35:50
oeisdata/seq/A383/A383078.seq
71eb2982c77871dbef1a3b5832964412
A383079
Number of n-digit positive integers where all pairs of consecutive digits have a difference of at least 7.
[ "9", "9", "22", "48", "109", "244", "549", "1233", "2771", "6226", "13990", "31435", "70634", "158713", "356625", "801329", "1800570", "4045844", "9090929", "20427132", "45899349", "103134901", "231742019", "520719590", "1170046298", "2629070167", "5907467042", "13273957953", "29826312781", "67019116473", "150590587774" ]
[ "nonn", "easy", "new" ]
10
1
1
[ "A052268", "A100062", "A383070", "A383071", "A383072", "A383077", "A383078", "A383079" ]
null
Edwin Hermann, Apr 15 2025
2025-04-18T13:36:14
oeisdata/seq/A383/A383079.seq
0996468eba1fd576757719549a87d9e6
A383080
Numbers k such that sopf(k) does not divide evenly sopfr(k).
[ "12", "18", "20", "24", "28", "40", "44", "45", "48", "50", "52", "54", "56", "60", "63", "68", "72", "75", "76", "80", "84", "88", "90", "92", "96", "98", "99", "104", "108", "112", "116", "117", "120", "124", "126", "132", "135", "136", "140", "144", "147", "148", "150", "152", "153", "156", "160", "162", "164", "168", "171", "172", "175", "176", "180", "184", "188", "189", "198" ]
[ "nonn", "new" ]
24
1
1
[ "A001414", "A008472", "A008683", "A059404", "A323055", "A383080" ]
null
Torlach Rush, Apr 15 2025
2025-04-17T09:37:06
oeisdata/seq/A383/A383080.seq
242871707bef88552deb029bff2a4dc1
A383081
a(n) = A003557(A089016(n)).
[ "1", "1", "6", "2", "4", "2", "4", "1", "1", "4", "15", "1", "4", "10", "15", "1", "5", "24", "52", "1", "2", "5", "1", "3", "5", "31", "45", "2", "4", "14", "41", "1", "2", "5", "7", "2", "4", "5", "11", "30", "43", "2", "6", "18", "26", "71", "139", "3", "36", "69", "96", "5", "14", "69", "95", "1", "4", "11", "30", "57", "1", "2", "8", "39", "54", "255", "2", "3", "9", "32", "60", "82", "2", "7", "13", "45" ]
[ "nonn", "new" ]
11
0
3
[ "A002110", "A003557", "A007947", "A048597", "A089016", "A122936", "A122937", "A383081" ]
null
Michael De Vlieger, Apr 18 2025
2025-04-19T18:06:58
oeisdata/seq/A383/A383081.seq
708c20636b3924fc45c968b31ca27269
A383082
The number of distinct straightedge-and-compass constructions that can be made with a total of n lines and circles.
[ "1", "3", "3", "16", "205", "5886", "542983" ]
[ "hard", "nonn", "more", "new" ]
13
0
2
[ "A333944", "A383082", "A383083" ]
null
Peter Kagey, Apr 15 2025
2025-04-18T21:41:47
oeisdata/seq/A383/A383082.seq
fc91ae6be33e730043b98a42a50eb4c6
A383083
The number of distinct straightedge-and-compass constructions that can be made with no lines and n circles.
[ "1", "2", "1", "4", "44", "1084", "91192" ]
[ "nonn", "more", "hard", "new" ]
13
0
2
[ "A250001", "A333944", "A339266", "A383082", "A383083" ]
null
Peter Kagey, Apr 16 2025
2025-04-18T21:51:18
oeisdata/seq/A383/A383083.seq
0cd79053552b6feb2860b332e63d4ce7
A383084
The number of points in the Euclidean plane that can be determined via a straightedge-and-compass construction using n or fewer lines and circles.
[ "2", "2", "6", "14", "147", "5743", "900487" ]
[ "nonn", "hard", "more", "new" ]
10
0
1
[ "A333944", "A383082", "A383084", "A383085" ]
null
Peter Kagey, Apr 16 2025
2025-04-18T21:51:54
oeisdata/seq/A383/A383084.seq
ff35c9b3f6fad2c693582a950bb6e2ae
A383085
The number of points in the Euclidean plane that can be determined via a straightedge-and-compass construction using no lines and n or fewer circles.
[ "2", "2", "4", "10", "52", "1704", "214135" ]
[ "nonn", "hard", "more", "new" ]
10
0
1
[ "A383083", "A383084", "A383085" ]
null
Peter Kagey, Apr 16 2025
2025-04-18T21:53:36
oeisdata/seq/A383/A383085.seq
02bfefc4744583f122481c65a8532e48
A383086
The number of distinct distances between points in the Euclidean plane where the points are constructed via a straightedge-and-compass construction using n circles and no lines.
[ "1", "1", "2", "4", "35", "2480" ]
[ "nonn", "more", "hard", "new" ]
14
0
3
[ "A383083", "A383085", "A383086", "A383087" ]
null
Peter Kagey, Apr 16 2025
2025-04-19T08:33:13
oeisdata/seq/A383/A383086.seq
469c30fa112ebce8243e3506a13b610a
A383087
The number of distinct distances between points in the Euclidean plane where the points are constructed via a straightedge-and-compass construction using n lines and circles.
[ "1", "1", "3", "5", "73", "6628" ]
[ "nonn", "more", "hard", "new" ]
8
0
3
[ "A383082", "A383084", "A383086", "A383087" ]
null
Peter Kagey, Apr 16 2025
2025-04-18T21:54:10
oeisdata/seq/A383/A383087.seq
7d1fdd3cf629b7dfca7e4af5d3de097a
A383088
Numbers whose multiset of prime indices does not have all equal run-sums.
[ "6", "10", "14", "15", "18", "20", "21", "22", "24", "26", "28", "30", "33", "34", "35", "36", "38", "39", "42", "44", "45", "46", "48", "50", "51", "52", "54", "55", "56", "57", "58", "60", "62", "65", "66", "68", "69", "70", "72", "74", "75", "76", "77", "78", "80", "82", "84", "85", "86", "87", "88", "90", "91", "92", "93", "94", "95", "96", "98", "99", "100", "102", "104", "105" ]
[ "nonn", "new" ]
9
1
1
[ "A000720", "A001221", "A001222", "A006171", "A047966", "A056239", "A059404", "A072774", "A098859", "A100471", "A100881", "A100882", "A100883", "A112798", "A130091", "A130092", "A242031", "A300273", "A304405", "A304406", "A304428", "A304430", "A304442", "A304678", "A304686", "A321455", "A326518", "A326534", "A334965", "A353833", "A353837", "A353838", "A353839", "A353848", "A353851", "A353861", "A353862", "A353931", "A353932", "A354584", "A357861", "A357862", "A357864", "A357875", "A382076", "A382877", "A383014", "A383015", "A383088", "A383095", "A383097", "A383098", "A383099", "A383100", "A383110" ]
null
Gus Wiseman, Apr 17 2025
2025-04-18T09:57:41
oeisdata/seq/A383/A383088.seq
4f05d6eaf76008f795d04aba9bc3f601
A383089
Numbers whose prime indices have more than one permutation with all equal run-lengths.
[ "6", "10", "14", "15", "21", "22", "26", "30", "33", "34", "35", "36", "38", "39", "42", "46", "51", "55", "57", "58", "60", "62", "65", "66", "69", "70", "74", "77", "78", "82", "84", "85", "86", "87", "90", "91", "93", "94", "95", "100", "102", "105", "106", "110", "111", "114", "115", "118", "119", "120", "122", "123", "126", "129", "130", "132", "133", "134", "138", "140" ]
[ "nonn", "new" ]
9
1
1
[ "A000720", "A000961", "A001221", "A001222", "A044813", "A047966", "A048767", "A055396", "A056239", "A061395", "A098859", "A112798", "A130091", "A239455", "A329738", "A329739", "A351291", "A351293", "A351294", "A351295", "A351596", "A353744", "A353833", "A381432", "A381433", "A381541", "A381871", "A382771", "A382857", "A382877", "A382879", "A382915", "A383014", "A383015", "A383089", "A383090", "A383091", "A383092", "A383094", "A383097", "A383100", "A383112", "A383113" ]
null
Gus Wiseman, Apr 18 2025
2025-04-19T19:34:45
oeisdata/seq/A383/A383089.seq
60455c983f23a3f3bfe42529465c9a33
A383090
Number of integer partitions of n having more than one permutation with all equal run-lengths.
[ "0", "0", "0", "1", "1", "2", "4", "5", "9", "14", "20", "28", "43", "55", "77", "107", "141", "183", "244", "312", "411", "521", "664", "837", "1069", "1328", "1667", "2069", "2578", "3166", "3929", "4791", "5895", "7168", "8749", "10594", "12883", "15500", "18741", "22493", "27069", "32334", "38760", "46133", "55065", "65367", "77686", "91905", "108927", "128431", "151674" ]
[ "nonn", "new" ]
13
0
6
[ "A000009", "A000041", "A008284", "A008289", "A047966", "A047993", "A072774", "A098859", "A100471", "A100881", "A100882", "A100883", "A237984", "A239455", "A304442", "A329738", "A329739", "A351293", "A351294", "A351295", "A353744", "A381432", "A381433", "A381541", "A381871", "A382076", "A382771", "A382857", "A382877", "A382879", "A382915", "A383013", "A383015", "A383089", "A383090", "A383091", "A383092", "A383094", "A383095", "A383096", "A383097", "A383098", "A383099", "A383100", "A383110", "A383111", "A383112", "A383113" ]
null
Gus Wiseman, Apr 19 2025
2025-04-26T11:27:59
oeisdata/seq/A383/A383090.seq
dfeb1276fd362fe401f6ec9f908afa63
A383091
Numbers whose prime indices have at most one permutation with all equal run-lengths.
[ "1", "2", "3", "4", "5", "7", "8", "9", "11", "12", "13", "16", "17", "18", "19", "20", "23", "24", "25", "27", "28", "29", "31", "32", "37", "40", "41", "43", "44", "45", "47", "48", "49", "50", "52", "53", "54", "56", "59", "61", "63", "64", "67", "68", "71", "72", "73", "75", "76", "79", "80", "81", "83", "88", "89", "92", "96", "97", "98", "99", "101", "103", "104", "107", "108", "109" ]
[ "nonn", "new" ]
11
1
2
[ "A000720", "A000961", "A001221", "A001222", "A047966", "A048767", "A056239", "A098859", "A112798", "A130091", "A329738", "A329739", "A351291", "A351294", "A351596", "A353744", "A353833", "A381435", "A382771", "A382857", "A382877", "A382879", "A382915", "A383015", "A383089", "A383090", "A383091", "A383092", "A383094", "A383095", "A383096", "A383097", "A383099", "A383100", "A383112", "A383113" ]
null
Gus Wiseman, Apr 18 2025
2025-04-19T19:34:49
oeisdata/seq/A383/A383091.seq
ca6be47d431af7d9cbea2a27f8ee9ce9
A383092
Number of integer partitions of n having at most one permutation with all equal run-lengths.
[ "1", "1", "2", "2", "4", "5", "7", "10", "13", "16", "22", "28", "34", "46", "58", "69", "90", "114", "141", "178", "216", "271", "338", "418", "506", "630", "769", "941", "1140", "1399", "1675", "2051", "2454", "2975", "3561", "4289", "5094", "6137", "7274", "8692", "10269", "12249", "14414", "17128", "20110", "23767", "27872", "32849", "38346", "45094", "52552", "61533" ]
[ "nonn", "new" ]
12
0
3
[ "A000009", "A000041", "A006171", "A008284", "A008289", "A047966", "A047993", "A072774", "A098859", "A100471", "A100881", "A100882", "A100883", "A239455", "A304442", "A329738", "A329739", "A351291", "A351293", "A351294", "A351295", "A351596", "A353744", "A362608", "A381432", "A381433", "A381871", "A382076", "A382771", "A382857", "A382877", "A382879", "A382915", "A383013", "A383015", "A383089", "A383090", "A383091", "A383092", "A383094", "A383095", "A383096", "A383097", "A383098", "A383099", "A383100", "A383110", "A383111", "A383112" ]
null
Gus Wiseman, Apr 19 2025
2025-04-26T11:27:54
oeisdata/seq/A383/A383092.seq
d8084ae8c7fee17869fe77ea297dff26
A383093
Number of integer partitions of n that can be partitioned into constant blocks with a common sum.
[ "1", "1", "2", "2", "4", "2", "7", "2", "9", "5", "9", "2", "23", "2", "11", "10", "24", "2", "33", "2", "36", "12", "15", "2", "87", "7", "17", "17", "53", "2", "96" ]
[ "nonn", "more", "new" ]
9
0
3
[ "A000009", "A000041", "A000688", "A001055", "A006171", "A045778", "A047966", "A050361", "A265947", "A279784", "A279789", "A295935", "A300383", "A317141", "A323774", "A326534", "A353864", "A355743", "A381453", "A381455", "A381635", "A381636", "A381715", "A381716", "A381717", "A381718", "A381719", "A381871", "A381993", "A381994", "A381995", "A382076", "A382080", "A382203", "A382204", "A382427", "A383014", "A383093", "A383096", "A383098", "A383100", "A383110", "A383309" ]
null
Gus Wiseman, Apr 22 2025
2025-04-25T08:46:18
oeisdata/seq/A383/A383093.seq
f6011af7692eb2ef9f27f3d0dbbf9697
A383094
Number of integer partitions of n having exactly one permutation with all equal run-lengths.
[ "1", "1", "2", "2", "4", "4", "5", "6", "9", "7", "11", "10", "13", "12", "17", "14", "21", "16", "21", "18", "27", "22", "29", "22", "34", "25", "35", "28", "41", "28", "43", "30", "48", "38", "47", "38", "55", "36", "53", "46", "64", "40", "67", "42", "69", "54", "65", "46", "84", "51", "75", "62", "83", "52", "86", "62", "94", "70", "83", "58", "111", "60", "89", "80", "106", "74", "115", "66", "111" ]
[ "nonn", "new" ]
9
0
3
[ "A000009", "A000041", "A008284", "A008289", "A047966", "A047993", "A072774", "A098859", "A100471", "A100881", "A100882", "A100883", "A239455", "A304442", "A329738", "A329739", "A351291", "A351293", "A351294", "A351295", "A351596", "A353744", "A362608", "A381432", "A381433", "A381871", "A382076", "A382771", "A382857", "A382879", "A382915", "A383013", "A383089", "A383090", "A383091", "A383092", "A383094", "A383095", "A383096", "A383097", "A383098", "A383099", "A383110", "A383111", "A383112" ]
null
Gus Wiseman, Apr 20 2025
2025-04-26T08:06:17
oeisdata/seq/A383/A383094.seq
da872c0f71bc9d864875b9ce16f1a6c9
A383095
Number of integer partitions of n having exactly one permutation with all equal run-sums.
[ "1", "1", "2", "2", "3", "2", "6", "2", "4", "5", "6", "2", "12", "2", "6", "8", "5", "2", "20", "2", "12", "8", "6", "2", "20", "5", "6", "12", "12", "2", "34", "2", "6", "8", "6", "8", "45", "2", "6", "8", "20", "2", "34", "2", "12", "28", "6", "2", "30", "5", "20", "8", "12", "2", "52", "8", "20", "8", "6", "2", "78", "2", "6", "28", "7", "8", "34", "2", "12", "8", "34", "2", "80", "2", "6", "28", "12", "8", "34", "2", "30", "25" ]
[ "nonn", "new" ]
10
0
3
[ "A000005", "A047966", "A072774", "A098859", "A100471", "A100881", "A100882", "A100883", "A130091", "A242031", "A275870", "A300273", "A304405", "A304406", "A304428", "A304430", "A304442", "A304678", "A304686", "A321455", "A326518", "A326534", "A329738", "A334965", "A353832", "A353833", "A353837", "A353838", "A353839", "A353848", "A353851", "A353932", "A354584", "A357861", "A357862", "A357864", "A357875", "A381636", "A381871", "A382076", "A382876", "A382877", "A383015", "A383094", "A383095", "A383096", "A383097", "A383098", "A383099", "A383100", "A383110" ]
null
Gus Wiseman, Apr 16 2025
2025-04-26T11:26:50
oeisdata/seq/A383/A383095.seq
9c37ace42e794ce3fb9951f20d2e9ac5
A383096
Number of integer partitions of n having no permutation with all equal run-sums.
[ "0", "0", "0", "1", "1", "5", "4", "13", "15", "25", "35", "54", "58", "99", "128", "168", "217", "295", "358", "488", "603", "784", "995", "1253", "1517", "1953", "2429", "2997", "3688", "4563", "5532", "6840", "8311", "10135", "12303", "14875", "17842", "21635", "26008", "31177", "37247", "44581", "53062", "63259", "75130", "89096", "105551", "124752", "147015", "173520" ]
[ "nonn", "new" ]
12
0
6
[ "A006171", "A047966", "A072774", "A098859", "A100471", "A100881", "A100882", "A100883", "A130091", "A242031", "A275870", "A300273", "A304405", "A304406", "A304428", "A304430", "A304442", "A304678", "A304686", "A321455", "A326518", "A326534", "A329738", "A334965", "A353832", "A353833", "A353837", "A353838", "A353839", "A353848", "A353851", "A353932", "A354584", "A357861", "A357862", "A357864", "A357875", "A381636", "A381717", "A382076", "A382857", "A382876", "A382877", "A382879", "A382914", "A382915", "A383015", "A383094", "A383095", "A383096", "A383097", "A383098", "A383099", "A383100", "A383110" ]
null
Gus Wiseman, Apr 17 2025
2025-04-26T11:26:53
oeisdata/seq/A383/A383096.seq
4ae04fb5d6e8d3bf45503e1dfdfa89af
A383097
Number of integer partitions of n having more than one permutation with all equal run-sums.
[ "0", "0", "0", "0", "1", "0", "1", "0", "3", "0", "1", "0", "7", "0", "1", "0", "9", "0", "7", "0", "12", "0", "1", "0", "38", "0", "1", "1", "18", "0", "38", "0", "32", "0", "1", "0", "90", "0", "1", "0", "71", "0", "78", "0", "33", "10", "1", "0", "228", "0", "31", "0", "42", "0", "156", "0", "123", "0", "1", "0", "447", "0", "1", "16", "146", "0", "222", "0", "63", "0", "102", "0", "811", "0", "1", "29", "75", "0", "334", "0" ]
[ "nonn", "new" ]
9
0
9
[ "A006171", "A047966", "A072774", "A098859", "A100471", "A100881", "A100882", "A100883", "A130091", "A242031", "A275870", "A300273", "A304405", "A304406", "A304428", "A304430", "A304442", "A304678", "A304686", "A321455", "A326518", "A326534", "A329738", "A334965", "A353832", "A353833", "A353837", "A353838", "A353839", "A353848", "A353850", "A353851", "A353932", "A354584", "A357861", "A357862", "A357864", "A357875", "A381636", "A381717", "A382076", "A382876", "A382877", "A383015", "A383089", "A383090", "A383094", "A383095", "A383096", "A383097", "A383098", "A383099", "A383100", "A383110" ]
null
Gus Wiseman, Apr 17 2025
2025-04-26T11:26:57
oeisdata/seq/A383/A383097.seq
e41d6bc2d661bfaa91e14d33b28ed0d8
A383098
Number of integer partitions of n having at least one permutation with all equal run-sums.
[ "1", "1", "2", "2", "4", "2", "7", "2", "7", "5", "7", "2", "19", "2", "7", "8", "14", "2", "27", "2", "24", "8", "7", "2", "58", "5", "7", "13", "30", "2", "72", "2", "38", "8", "7", "8", "135", "2", "7", "8", "91", "2", "112", "2", "45", "38", "7", "2", "258", "5", "51", "8", "54", "2", "208", "8", "143", "8", "7", "2", "525", "2", "7", "44", "153", "8", "256", "2", "75", "8", "136", "2", "891", "2", "7", "57", "87", "8" ]
[ "nonn", "new" ]
12
0
3
[ "A006171", "A047966", "A072774", "A098859", "A100471", "A100881", "A100882", "A100883", "A130091", "A242031", "A275870", "A300273", "A304405", "A304406", "A304428", "A304430", "A304442", "A304678", "A304686", "A321455", "A326518", "A326534", "A329738", "A334965", "A353832", "A353833", "A353837", "A353838", "A353839", "A353848", "A353850", "A353851", "A353932", "A354584", "A357861", "A357862", "A357864", "A357875", "A382076", "A382427", "A382857", "A382876", "A382877", "A382879", "A383013", "A383015", "A383094", "A383095", "A383096", "A383097", "A383098", "A383099", "A383100", "A383110", "A383112" ]
null
Gus Wiseman, Apr 17 2025
2025-04-26T11:27:00
oeisdata/seq/A383/A383098.seq
0595f7d98305dcca7ef680e5a097fa19
A383099
Numbers whose prime indices have exactly one permutation with all equal run-sums.
[ "1", "2", "3", "4", "5", "7", "8", "9", "11", "13", "16", "17", "19", "23", "25", "27", "29", "31", "32", "36", "37", "41", "43", "47", "48", "49", "53", "59", "61", "64", "67", "71", "73", "79", "81", "83", "89", "97", "101", "103", "107", "109", "113", "121", "125", "127", "128", "131", "137", "139", "149", "151", "157", "163", "167", "169", "173", "179", "181", "191", "193" ]
[ "nonn", "new" ]
7
1
2
[ "A000005", "A000720", "A000961", "A001221", "A001222", "A047966", "A056239", "A072774", "A112798", "A130091", "A242031", "A304442", "A304678", "A304686", "A334965", "A351294", "A353832", "A353833", "A353838", "A353848", "A353851", "A353932", "A354584", "A382857", "A382876", "A382877", "A383013", "A383015", "A383091", "A383095", "A383096", "A383098", "A383099", "A383100", "A383110", "A383112" ]
null
Gus Wiseman, Apr 20 2025
2025-04-22T08:04:24
oeisdata/seq/A383/A383099.seq
1fce79294e99b7c472bd5c1ce45a7709
A383100
Numbers whose prime indices have no permutation with all equal run-sums.
[ "6", "10", "14", "15", "18", "20", "21", "22", "24", "26", "28", "30", "33", "34", "35", "38", "39", "42", "44", "45", "46", "50", "51", "52", "54", "55", "56", "57", "58", "60", "62", "65", "66", "68", "69", "70", "72", "74", "75", "76", "77", "78", "80", "82", "84", "85", "86", "87", "88", "90", "91", "92", "93", "94", "95", "96", "98", "99", "100", "102", "104", "105", "106", "108" ]
[ "nonn", "new" ]
6
1
1
[ "A047966", "A056239", "A072774", "A112798", "A130091", "A242031", "A304442", "A304678", "A304686", "A334965", "A351294", "A351295", "A353832", "A353833", "A353837", "A353838", "A353848", "A353851", "A354584", "A381636", "A381717", "A381871", "A382857", "A382876", "A382877", "A382879", "A383013", "A383015", "A383094", "A383095", "A383096", "A383097", "A383098", "A383099", "A383100", "A383110" ]
null
Gus Wiseman, Apr 20 2025
2025-04-22T08:05:54
oeisdata/seq/A383/A383100.seq
3dd64f9ee6efb183275a3e9790205ee6
A383101
Number of compositions of n such that any part 1 can be m different colors where m is the largest part of the composition.
[ "1", "1", "2", "6", "21", "77", "294", "1178", "4978", "22191", "104146", "513385", "2653003", "14349804", "81125023", "478686413", "2943737942", "18838530436", "125268429098", "864256288435", "6177766228172", "45689641883377", "349173454108407", "2754058599745239", "22393206702946457", "187501022603071090" ]
[ "nonn", "easy", "new" ]
16
0
3
[ "A011782", "A088305", "A105422", "A171632", "A363262", "A382991", "A382992", "A383101" ]
null
John Tyler Rascoe, Apr 16 2025
2025-04-24T09:34:38
oeisdata/seq/A383/A383101.seq
17ab70b24e8f6f8b24a9adc635c5fe28
A383102
Cubes that are concatenations of two or more positive cubes.
[ "27818127", "27818127000", "216648648216", "27818127000000", "125112533753375", "216648648216000", "27000810008100027", "27818127000000000", "125112533753375000", "216648648216000000", "27000810008100027000", "27818127000000000000", "125112533753375000000", "216000648000648000216", "216648648216000000000" ]
[ "nonn", "base", "new" ]
4
1
1
[ "A009421", "A019548", "A383102" ]
null
Robert Israel, Apr 16 2025
2025-04-17T09:51:47
oeisdata/seq/A383/A383102.seq
598ed31229790d135ec1afb7299a8cff
A383107
Number of king permutations on n elements avoiding the mesh pattern (12, {(0,0),(0,1),(0,2),(1,0),(1,2),(2,0),(2,1)}).
[ "1", "1", "0", "0", "2", "14", "88", "636", "5174", "47122", "475128", "5257976", "63381078", "826817350", "11607019144", "174484968604", "2796703640190", "47613279070594", "858080079253440", "16320196781972904", "326687694661023774", "6865553778933359142", "151139392725808178080", "3478151644016630307452", "83516524547918673461238" ]
[ "nonn", "easy", "new" ]
21
0
5
[ "A002464", "A382644", "A382645", "A382651", "A383040", "A383107" ]
null
Dan Li, Apr 22 2025
2025-04-25T15:13:08
oeisdata/seq/A383/A383107.seq
bdd8b9b8515fc086179a7f8ceb65d147
A383108
Number of crystallographic orbits in n dimensions, counting enantiomorphic pairs as distinct.
[ "1", "2", "30", "427" ]
[ "nonn", "hard", "more", "nice", "new" ]
4
0
2
[ "A006227", "A383108" ]
null
Andrey Zabolotskiy, Apr 16 2025
2025-04-16T12:28:55
oeisdata/seq/A383/A383108.seq
98726d6c08ff79ae85562e74c8be4fa2
A383109
Consider the isosceles triangle whose vertices are the Gaussian integers z1=0, z2 = x+i*y, z3=x-i*y. The sequence lists the pairs of positive integer foci (f_i, f_j), f_i < f_j of Steiner inellipse for some z2, z3.
[ "3", "5", "6", "10", "9", "15", "13", "15", "12", "20", "15", "25", "18", "30", "15", "37", "15", "41", "17", "39", "21", "35", "26", "30", "24", "40", "27", "45", "25", "51", "30", "50", "39", "45", "33", "55", "36", "60", "29", "75", "30", "74", "39", "65", "51", "53", "30", "82", "34", "78", "42", "70", "52", "60", "45", "75", "39", "85", "48", "80", "51", "85", "65", "75", "54", "90", "61" ]
[ "nonn", "new" ]
25
1
1
null
null
Michel Lagneau, Apr 16 2025
2025-04-25T23:39:55
oeisdata/seq/A383/A383109.seq
15e026d7323a74737f49b9af12a5295c
A383110
Numbers whose prime indices have a permutation with all equal run-sums.
[ "1", "2", "3", "4", "5", "7", "8", "9", "11", "12", "13", "16", "17", "19", "23", "25", "27", "29", "31", "32", "36", "37", "40", "41", "43", "47", "48", "49", "53", "59", "61", "63", "64", "67", "71", "73", "79", "81", "83", "89", "97", "101", "103", "107", "109", "112", "113", "121", "125", "127", "128", "131", "137", "139", "144", "149", "151", "157", "163", "167", "169", "173" ]
[ "nonn", "new" ]
6
1
2
[ "A047966", "A056239", "A072774", "A112798", "A130091", "A242031", "A304442", "A304678", "A304686", "A334965", "A351295", "A353832", "A353833", "A353837", "A353838", "A353848", "A353851", "A354584", "A381636", "A381717", "A381871", "A382857", "A382876", "A382877", "A382879", "A383013", "A383015", "A383095", "A383096", "A383097", "A383098", "A383099", "A383100", "A383110" ]
null
Gus Wiseman, Apr 20 2025
2025-04-22T09:10:03
oeisdata/seq/A383/A383110.seq
d504d028918a54f15c3e7415602dc7e6
A383111
Number of integer partitions of n having more than one permutation with all distinct run-lengths.
[ "0", "0", "0", "0", "1", "3", "3", "8", "9", "13", "17", "26", "27", "43", "51", "61", "78", "103", "115", "153", "174" ]
[ "nonn", "more", "new" ]
5
0
6
[ "A000005", "A000009", "A000041", "A000961", "A008284", "A008289", "A047966", "A047993", "A098859", "A100471", "A100881", "A100882", "A100883", "A130091", "A239455", "A329738", "A329739", "A351293", "A351294", "A351295", "A353744", "A353837", "A381432", "A381433", "A381541", "A381636", "A381717", "A382771", "A382857", "A382915", "A383013", "A383089", "A383090", "A383092", "A383094", "A383097", "A383111", "A383113" ]
null
Gus Wiseman, Apr 20 2025
2025-04-20T08:57:17
oeisdata/seq/A383/A383111.seq
e40f664a2915ea5ae5657ec33a018ac2
A383112
Numbers whose multiset of prime indices has exactly one permutation with all equal run-lengths.
[ "1", "2", "3", "4", "5", "7", "8", "9", "11", "12", "13", "16", "17", "18", "19", "20", "23", "25", "27", "28", "29", "31", "32", "37", "41", "43", "44", "45", "47", "49", "50", "52", "53", "59", "61", "63", "64", "67", "68", "71", "72", "73", "75", "76", "79", "81", "83", "89", "92", "97", "98", "99", "101", "103", "107", "108", "109", "113", "116", "117", "121", "124", "125", "127" ]
[ "nonn", "new" ]
7
1
2
[ "A000961", "A001221", "A001222", "A047966", "A048767", "A056239", "A072774", "A098859", "A112798", "A130091", "A329738", "A329739", "A351294", "A351295", "A351596", "A353744", "A353833", "A381434", "A381540", "A382771", "A382857", "A382877", "A382879", "A382915", "A383089", "A383090", "A383091", "A383092", "A383094", "A383095", "A383099", "A383100", "A383112" ]
null
Gus Wiseman, Apr 18 2025
2025-04-21T13:25:01
oeisdata/seq/A383/A383112.seq
37679048d96ed27d34217b61c54d3120
A383113
Numbers whose prime indices have more than one permutation with all distinct run-lengths.
[ "12", "18", "20", "24", "28", "40", "44", "45", "48", "50", "52", "54", "56", "63", "68", "72", "75", "76", "80", "88", "92", "96", "98", "99", "104", "108", "112", "116", "117", "124", "135", "136", "144", "147", "148", "152", "153", "160", "162", "164", "171", "172", "175", "176", "184", "188", "189", "192", "200", "207", "208", "212", "216", "224", "232", "236", "242" ]
[ "nonn", "new" ]
5
1
1
[ "A000005", "A000720", "A000961", "A001221", "A001222", "A044813", "A047966", "A048767", "A056239", "A098859", "A112798", "A130091", "A239455", "A242882", "A329739", "A351013", "A351202", "A351291", "A351293", "A351294", "A351295", "A351596", "A381432", "A381433", "A381435", "A382771", "A382772", "A382857", "A382876", "A382878", "A382879", "A383089", "A383090", "A383091", "A383092", "A383111", "A383112", "A383113" ]
null
Gus Wiseman, Apr 20 2025
2025-04-22T09:09:57
oeisdata/seq/A383/A383113.seq
fa56d0261ac76c37c5f529c6fba8a750
A383116
Permissible phase values, in degrees, associated with restricted Fourier amplitudes obtained via Fourier transform of a three-dimensional crystal lattice.
[ "0", "30", "45", "60", "90", "120", "135", "150", "180", "210", "225", "240", "270", "300", "315", "330" ]
[ "nonn", "fini", "full", "new" ]
19
1
2
[ "A047229", "A383116" ]
null
Ambarneil Saha, Apr 16 2025
2025-04-24T01:55:42
oeisdata/seq/A383/A383116.seq
710b6dbd581e97d8f8f3d8bc717d1b3e
A383118
a(n) = Sum_{k=0..n} (-1)^(n-k) * binomial(n,k) * binomial(3*k,k).
[ "1", "2", "10", "47", "238", "1232", "6499", "34715", "187198", "1016840", "5555560", "30497150", "168073195", "929348396", "5153362231", "28646281502", "159579236014", "890644144580", "4979200476088", "27878225498030", "156298588113088", "877350590047496", "4930273302851830", "27733610884176338" ]
[ "nonn", "new" ]
15
0
2
[ "A002426", "A005809", "A127897", "A188686", "A346628", "A383118", "A383119" ]
null
Ilya Gutkovskiy, Apr 17 2025
2025-04-17T08:11:07
oeisdata/seq/A383/A383118.seq
f99e1da84df75982a7f50d0c63793645
A383119
a(n) = Sum_{k=0..n} (-1)^(n-k) * binomial(n,k) * binomial(4*k,k).
[ "1", "3", "21", "147", "1093", "8343", "64869", "510891", "4062277", "32539647", "262181601", "2122581123", "17252278789", "140695104943", "1150670390541", "9433965332127", "77512716483461", "638080242074447", "5261486780929209", "43450477494413751", "359308411992366513", "2974886601163646379", "24657831769475675253" ]
[ "nonn", "new" ]
12
0
2
[ "A002426", "A005810", "A317133", "A346664", "A359643", "A383118", "A383119" ]
null
Ilya Gutkovskiy, Apr 17 2025
2025-04-17T08:11:03
oeisdata/seq/A383/A383119.seq
cef23974c8dcef9fe906376682c6db64
A383120
a(n) = Sum_{k=0..n} binomial(n,k) * binomial(n*k,k).
[ "1", "2", "11", "139", "2885", "82381", "2979565", "130203494", "6664589321", "390857822425", "25832193906761", "1899273577364197", "153741850998047053", "13585520026454056279", "1301210398133681268381", "134270617908678099820891", "14849785991790603714043921", "1752283118795349858851381297" ]
[ "nonn", "new" ]
11
0
2
[ "A001850", "A014062", "A026375", "A188686", "A226391", "A359643", "A378327", "A383120", "A383121" ]
null
Ilya Gutkovskiy, Apr 17 2025
2025-04-17T14:54:49
oeisdata/seq/A383/A383120.seq
89934e81074709866fff77e5104baf93
A383121
a(n) = Sum_{k=0..n} (-1)^(n-k) * binomial(n,k) * binomial(n*k,k).
[ "1", "0", "3", "47", "1093", "33029", "1236781", "55325416", "2879987209", "171061709417", "11418368571721", "846230146390001", "68949300160035373", "6126085419697733567", "589470974371501065845", "61068847238080533844679", "6777270943578364524130321", "802138434294752321142680145" ]
[ "nonn", "new" ]
10
0
3
[ "A002426", "A349471", "A378409", "A383118", "A383119", "A383120", "A383121" ]
null
Ilya Gutkovskiy, Apr 17 2025
2025-04-17T14:54:44
oeisdata/seq/A383/A383121.seq
5916c537969ed4a426ff736eb2a706cd