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.

A165168 Number of reduced words of length n in Coxeter group on 36 generators S_i with relations (S_i)^2 = (S_i S_j)^8 = I.

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%I A165168 #8 Jun 08 2020 10:53:02
%S A165168 1,36,1260,44100,1543500,54022500,1890787500,66177562500,
%T A165168 2316214686870,81067514018400,2837362989872880,99307704618561600,
%U A165168 3475769660705034000,121651938091614420000,4257817832049342750000,149023624081226328000000
%N A165168 Number of reduced words of length n in Coxeter group on 36 generators S_i with relations (S_i)^2 = (S_i S_j)^8 = I.
%C A165168 The initial terms coincide with those of A170755, although the two sequences are eventually different.
%C A165168 Computed with MAGMA using commands similar to those used to compute A154638.
%H A165168 <a href="/index/Rec#order_08">Index entries for linear recurrences with constant coefficients</a>, signature (34, 34, 34, 34, 34, 34, 34, -595).
%F A165168 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)/(595*t^8 -
%F A165168 34*t^7 - 34*t^6 - 34*t^5 - 34*t^4 - 34*t^3 - 34*t^2 - 34*t + 1)
%t A165168 coxG[{8,595,-34}] (* The coxG program is at A169452 *) (* _Harvey P. Dale_, Jun 08 2020 *)
%K A165168 nonn
%O A165168 0,2
%A A165168 _John Cannon_ and _N. J. A. Sloane_, Dec 03 2009