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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.

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

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%I A378109 #6 Nov 16 2024 16:08:38
%S A378109 1,0,1,2,3,15,32,126,351,1094,3321,9801,29768,88452,266085,797162,
%T A378109 2390391,7175547,21516800,64573362,193700403,581130734,1743421725,
%U A378109 5230147077,15690706952,47071500840,141215033961,423644304722,1270932117003,3812799539655
%N A378109 Cogrowth sequence of the 18-element group S3 X C3 = <S,T,U | S^3, T^2, U^3, (ST)^2, [S,U], [T,U]>.
%C A378109 Also called: D3 X C3. Gap identifier 18, 3.
%F A378109 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)).
%Y A378109 Cf. A095364 (D9), A378031 (C6 X C3), A378110 (S3:C3), A001045 (S3).
%K A378109 nonn,easy
%O A378109 0,4
%A A378109 _Sean A. Irvine_, Nov 16 2024