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.

A165178 Number of reduced words of length n in Coxeter group on 46 generators S_i with relations (S_i)^2 = (S_i S_j)^8 = I.

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%I A165178 #6 Nov 23 2016 18:36:56
%S A165178 1,46,2070,93150,4191750,188628750,8488293750,381973218750,
%T A165178 17188794842715,773495767875600,34807309552307160,1566328929759554400,
%U A165178 70484801834937897000,3171816082381313070000,142731723698568934875000
%N A165178 Number of reduced words of length n in Coxeter group on 46 generators S_i with relations (S_i)^2 = (S_i S_j)^8 = I.
%C A165178 The initial terms coincide with those of A170765, although the two sequences are eventually different.
%C A165178 Computed with MAGMA using commands similar to those used to compute A154638.
%H A165178 <a href="/index/Rec#order_08">Index entries for linear recurrences with constant coefficients</a>, signature (44, 44, 44, 44, 44, 44, 44, -990).
%F A165178 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)/(990*t^8 -
%F A165178 44*t^7 - 44*t^6 - 44*t^5 - 44*t^4 - 44*t^3 - 44*t^2 - 44*t + 1)
%K A165178 nonn
%O A165178 0,2
%A A165178 _John Cannon_ and _N. J. A. Sloane_, Dec 03 2009