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.

A165177 Number of reduced words of length n in Coxeter group on 45 generators S_i with relations (S_i)^2 = (S_i S_j)^8 = I.

This page as a plain text file.
%I A165177 #8 May 18 2023 12:25:41
%S A165177 1,45,1980,87120,3833280,168664320,7421230080,326534123520,
%T A165177 14367501433890,632170063047600,27815482772178750,1223881241891576400,
%U A165177 53850774639520663200,2369434083975726451200,104255099687751923750400
%N A165177 Number of reduced words of length n in Coxeter group on 45 generators S_i with relations (S_i)^2 = (S_i S_j)^8 = I.
%C A165177 The initial terms coincide with those of A170764, although the two sequences are eventually different.
%C A165177 Computed with MAGMA using commands similar to those used to compute A154638.
%H A165177 <a href="/index/Rec#order_08">Index entries for linear recurrences with constant coefficients</a>, signature (43, 43, 43, 43, 43, 43, 43, -946).
%F A165177 G.f. (t^8 + 2*t^7 + 2*t^6 + 2*t^5 + 2*t^4 + 2*t^3 + 2*t^2 + 2*t + 1)/(946*t^8 -
%F A165177 43*t^7 - 43*t^6 - 43*t^5 - 43*t^4 - 43*t^3 - 43*t^2 - 43*t + 1)
%t A165177 coxG[{8,946,-43}] (* The coxG program is at A169452 *)  (* _Harvey P. Dale_, May 18 2023 *)
%K A165177 nonn
%O A165177 0,2
%A A165177 _John Cannon_ and _N. J. A. Sloane_, Dec 03 2009