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.
%I A377627 #17 Nov 10 2024 20:42:57 %S A377627 1,1,1,2,29,211,926,3095,9829,37130,164921,728575,2973350,11450531, %T A377627 43942081,174174002,708653429,2884834891,11582386286,46006694735, %U A377627 182670807229,729520967450,2926800830801,11743814559415,47006639297270,187791199242011,750176293590361 %N A377627 Cogrowth sequence of the 12-element group C6 X C2 = <S,T | S^6, T^2, [S,T]>. %C A377627 Gives the even terms, all the odd terms are 0. %F A377627 G.f.: (6*x^5+5*x^4+11*x^3-10*x^2+5*x-1) / ((4*x-1) * (x^2+x+1) * (9*x^2-3*x+1)). %e A377627 a(2)=1 corresponds to the word TTTT. %e A377627 a(3)=2 corresponds to the words SSSSSS and TTTTTT. %Y A377627 Cf. A007583 (D6), A377626 (A4), A377656 (Dic12), A377714 (C4 X C2), A377840 (C8 X C2). %K A377627 nonn,easy %O A377627 0,4 %A A377627 _Sean A. Irvine_, Nov 02 2024