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.

A167094 Number of reduced words of length n in Coxeter group on 41 generators S_i with relations (S_i)^2 = (S_i S_j)^13 = I.

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%I A167094 #9 Nov 24 2016 10:35:16
%S A167094 1,41,1640,65600,2624000,104960000,4198400000,167936000000,
%T A167094 6717440000000,268697600000000,10747904000000000,429916160000000000,
%U A167094 17196646400000000000,687865855999999999180,27514634239999999934400
%N A167094 Number of reduced words of length n in Coxeter group on 41 generators S_i with relations (S_i)^2 = (S_i S_j)^13 = I.
%C A167094 The initial terms coincide with those of A170760, although the two sequences are eventually different.
%C A167094 Computed with MAGMA using commands similar to those used to compute A154638.
%H A167094 G. C. Greubel, <a href="/A167094/b167094.txt">Table of n, a(n) for n = 0..500</a>
%H A167094 <a href="/index/Rec#order_13">Index entries for linear recurrences with constant coefficients</a>, signature (39, 39, 39, 39, 39, 39, 39, 39, 39, 39, 39, 39, -780).
%F A167094 G.f.: (t^13 + 2*t^12 + 2*t^11 + 2*t^10 + 2*t^9 + 2*t^8 + 2*t^7 + 2*t^6 + 2*t^5 + 2*t^4 + 2*t^3 + 2*t^2 + 2*t + 1)/(780*t^13 - 39*t^12 - 39*t^11 - 39*t^10 - 39*t^9 - 39*t^8 - 39*t^7 - 39*t^6 - 39*t^5 - 39*t^4 - 39*t^3 - 39*t^2 - 39*t + 1).
%t A167094 CoefficientList[Series[(t^13 + 2*t^12 + 2*t^11 + 2*t^10 + 2*t^9 + 2*t^8 + 2*t^7 + 2*t^6 + 2*t^5 + 2*t^4 + 2*t^3 + 2*t^2 + 2*t + 1)/(780*t^13 - 39*t^12 - 39*t^11 - 39*t^10 - 39*t^9 - 39*t^8 - 39*t^7 - 39*t^6 - 39*t^5 - 39*t^4 - 39*t^3 - 39*t^2 - 39*t + 1), {t, 0, 50}], t] (* _G. C. Greubel_, Jun 02 2016 *)
%K A167094 nonn
%O A167094 0,2
%A A167094 _John Cannon_ and _N. J. A. Sloane_, Dec 03 2009