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.

A165182 Number of reduced words of length n in Coxeter group on 50 generators S_i with relations (S_i)^2 = (S_i S_j)^8 = I.

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%I A165182 #6 Nov 23 2016 18:38:11
%S A165182 1,50,2450,120050,5882450,288240050,14123762450,692064360050,
%T A165182 33911153641225,1661646528360000,81420679886700000,
%U A165182 3989613314304240000,195491052393848820000,9579061566952704120000,469374016763733986940000
%N A165182 Number of reduced words of length n in Coxeter group on 50 generators S_i with relations (S_i)^2 = (S_i S_j)^8 = I.
%C A165182 The initial terms coincide with those of A170769, although the two sequences are eventually different.
%C A165182 Computed with MAGMA using commands similar to those used to compute A154638.
%H A165182 <a href="/index/Rec#order_08">Index entries for linear recurrences with constant coefficients</a>, signature (48, 48, 48, 48, 48, 48, 48, -1176).
%F A165182 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)/(1176*t^8 -
%F A165182 48*t^7 - 48*t^6 - 48*t^5 - 48*t^4 - 48*t^3 - 48*t^2 - 48*t + 1)
%K A165182 nonn
%O A165182 0,2
%A A165182 _John Cannon_ and _N. J. A. Sloane_, Dec 03 2009