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.

A165167 Number of reduced words of length n in Coxeter group on 35 generators S_i with relations (S_i)^2 = (S_i S_j)^8 = I.

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%I A165167 #6 Nov 23 2016 18:33:33
%S A165167 1,35,1190,40460,1375640,46771760,1590239840,54068154560,
%T A165167 1838317254445,62502786630900,2125094744763375,72253221298589100,
%U A165167 2456609523357597300,83524723767147616800,2839840607164655463600,96554580612373926504000
%N A165167 Number of reduced words of length n in Coxeter group on 35 generators S_i with relations (S_i)^2 = (S_i S_j)^8 = I.
%C A165167 The initial terms coincide with those of A170754, although the two sequences are eventually different.
%C A165167 Computed with MAGMA using commands similar to those used to compute A154638.
%H A165167 <a href="/index/Rec#order_08">Index entries for linear recurrences with constant coefficients</a>, signature (33, 33, 33, 33, 33, 33, 33, -561).
%F A165167 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)/(561*t^8 -
%F A165167 33*t^7 - 33*t^6 - 33*t^5 - 33*t^4 - 33*t^3 - 33*t^2 - 33*t + 1)
%K A165167 nonn
%O A165167 0,2
%A A165167 _John Cannon_ and _N. J. A. Sloane_, Dec 03 2009