A378031 -id:A378031 - cp's OEIS frontend

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

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

Sean A. Irvine, Nov 16 2024

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

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

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)).

A378110 Cogrowth sequence of the 18-element group S3:C3 = .

Original entry on oeis.org

1, 0, 1, 2, 5, 10, 53, 98, 397, 1058, 3341, 9658, 30053, 87386, 267877, 793682, 2397437, 7162066, 21552125, 64506026, 193839445, 580889738, 1743836117, 5229312706, 15692323949, 47067796610, 141222563821, 423628907162, 1270962692165, 3812740639930

Offset: 0

Sean A. Irvine, Nov 16 2024

Also called: C3^2:C2. Gap identifier 18, 4.

Cf. A095364 (D9), A378031 (C6 X C3), A378109 (S3 X C3), A001045 (S3).

G.f.: (6*x^5-4*x^4-8*x^3-5*x^2+1) / ((x-1) * (3*x-1) * (2*x+1) * (3*x^2+2*x+1)).

cp's OEIS Frontend

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

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