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 1-2 of 2 results.

A378031 Cogrowth sequence for the 18-element group C6 X C3 = .

Original entry on oeis.org

1, 1, 2, 85, 926, 5461, 37130, 349525, 2973350, 22369621, 174174002, 1431655765, 11582386286, 91625968981, 729520967450, 5864062014805, 47006639297270, 375299968947541, 2999857885752002, 24019198012642645, 192222214478506046, 1537228672809129301
Offset: 0

Views

Author

Sean A. Irvine, Nov 14 2024

Keywords

Comments

Sequence gives terms for n = 0 (mod 3), all other terms are 0.

Crossrefs

Cf. A095364 (D9), A377627 (C6 X C2), A007613 (C3 X C3), A378109 (S3 X C3), A378110 (S3:C3).

Formula

G.f.: (36*x^4+99*x^3-14*x^2+6*x-1) / ((8*x-1) * (x+1) * (27*x^2+1)).

A378109 Cogrowth sequence of the 18-element group S3 X C3 = .

Original entry on oeis.org

1, 0, 1, 2, 3, 15, 32, 126, 351, 1094, 3321, 9801, 29768, 88452, 266085, 797162, 2390391, 7175547, 21516800, 64573362, 193700403, 581130734, 1743421725, 5230147077, 15690706952, 47071500840, 141215033961, 423644304722, 1270932117003, 3812799539655
Offset: 0

Views

Author

Sean A. Irvine, Nov 16 2024

Keywords

Comments

Also called: D3 X C3. Gap identifier 18, 3.

Crossrefs

Cf. A095364 (D9), A378031 (C6 X C3), A378110 (S3:C3), A001045 (S3).

Formula

G.f.: (3*x^8-3*x^6-16*x^5+6*x^4+7*x^3-2*x^2-3*x+1) / ((x-1) * (3*x-1) * (x^2+x+1) * (3*x^2+3*x+1) * (3*x^2-3*x+1)).
Showing 1-2 of 2 results.

Started in 1964 by Neil J. A. Sloane | Maintained by The OEIS Foundation Inc.

Content is available under The OEIS End-User License Agreement.