cp's OEIS Frontend

This is a front-end for the Online Encyclopedia of Integer Sequences, made by Christian Perfect. The idea is to provide OEIS entries in non-ancient HTML, and then to think about how they're presented visually. The source code is on GitHub.

Showing 1-3 of 3 results.

A298430 Numbers n such that there are precisely 13 groups of orders n and n + 1.

Original entry on oeis.org

82323, 390446, 622916, 774548, 793827, 876932
Offset: 1

Views

Author

Muniru A Asiru, Jan 19 2018

Keywords

Comments

Equivalently, lower member of consecutive terms of A292896.

Examples

			For n = 82323, A000001(82323) = A000001(82324) = 13.
For n = 390446, A000001(390446) = A000001(390447) = 13.
For n = 622916, A000001(622916) = A000001(622917) = 13.
		

Crossrefs

Cf. A000001. Subsequence of A292896 (Numbers n having precisely 13 groups of order n). Numbers n having precisely k groups of orders n and n+1: A295230 (k=2), A295990 (k=4), A295991 (k=5), A295992 (k=6), A295993 (k=8), A298427 (k=9), A298428 (k=10), A295994 (k=11), A298429 (k=12), this sequence (k=13), A298431 (k=14), A295995 (k=15).

Programs

  • Maple
    with(GroupTheory): for n from 1 to 10^6 do if [NumGroups(n), NumGroups(n+1)] = [13, 13] then print(n); fi; od;

Formula

Sequence is { n | A000001(n) = 13, A000001(n+1) = 13 }.

A298431 Numbers n such that there are precisely 14 groups of orders n and n + 1.

Original entry on oeis.org

4328, 22311, 29864, 57896, 75368, 99368, 120807, 130664, 131943, 152295, 157287, 164072, 180327, 184232, 212456, 236583, 268712, 276392, 331112, 338792, 381927
Offset: 1

Views

Author

Muniru A Asiru, Jan 19 2018

Keywords

Comments

Equivalently, lower member of consecutive terms of A294155.

Examples

			For n = 4328, A000001(4328) = A000001(4329) = 14.
For n = 22311, A000001(22311) = A000001(22312) = 14.
For n = 29864, A000001(29864) = A000001(29865) = 14.
		

Crossrefs

Cf. A000001. Subsequence of A294155 (Numbers n having precisely 14 groups of order n). Numbers n having precisely k groups of orders n and n+1: A295230 (k=2), A295990 (k=4), A295991 (k=5), A295992 (k=6), A295993 (k=8), A298427 (k=9), A298428 (k=10), A295994 (k=11), A298429 (k=12), A298430 (k=13), this sequence (k=14), A295995 (k=15).

Programs

  • Maple
    with(GroupTheory): for n from 1 to 10^5 do if [NumGroups(n), NumGroups(n+1)] = [14, 14] then print(n); fi; od;

Formula

Sequence is { n | A000001(n) = 14, A000001(n+1) = 14 }.

A298437 Numbers n such that there are precisely 16 groups of orders n and n + 1.

Original entry on oeis.org

83132, 86049, 173529, 492830, 704241, 889406
Offset: 1

Views

Author

Muniru A Asiru, Jan 19 2018

Keywords

Comments

Equivalently, lower member of consecutive terms of A295161.

Examples

			For n = 83132, A000001(83132) = A000001(83133) = 16.
For n = 173529, A000001(173529) = A000001(173530) = 16.
For n = 492830, A000001(492830) = A000001(492831) = 16.
		

Crossrefs

Cf. A000001. Subsequence of A295161 (Numbers n having precisely 16 groups of order n). Numbers n having precisely k groups of orders n and n+1: A295230 (k=2), A295990 (k=4), A295991 (k=5), A295992 (k=6), A295993 (k=8), A298427 (k=9), A298428 (k=10), A295994 (k=11), A298429 (k=12), A298430 (k=13), A298431 (k=14), A295995 (k=15), this sequence (k=16).

Programs

  • Maple
    with(GroupTheory): for n from 1 to 10^6 do if [NumGroups(n), NumGroups(n+1)] = [16, 16] then print(n); fi; od;

Formula

Sequence is { n | A000001(n) = 16, A000001(n+1) = 16 }.
Showing 1-3 of 3 results.