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.

A166854 Number of reduced words of length n in Coxeter group on 48 generators S_i with relations (S_i)^2 = (S_i S_j)^12 = I.

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%I A166854 #9 Nov 24 2016 09:47:38
%S A166854 1,48,2256,106032,4983504,234224688,11008560336,517402335792,
%T A166854 24317909782224,1142941759764528,53718262708932816,
%U A166854 2524758347319842352,118663642324032589416,5577191189229531649536,262127985893787985037568
%N A166854 Number of reduced words of length n in Coxeter group on 48 generators S_i with relations (S_i)^2 = (S_i S_j)^12 = I.
%C A166854 The initial terms coincide with those of A170767, although the two sequences are eventually different.
%C A166854 Computed with MAGMA using commands similar to those used to compute A154638.
%H A166854 G. C. Greubel, <a href="/A166854/b166854.txt">Table of n, a(n) for n = 0..500</a>
%H A166854 <a href="/index/Rec#order_12">Index entries for linear recurrences with constant coefficients</a>, signature (46, 46, 46, 46, 46, 46, 46, 46, 46, 46, 46, -1081).
%F A166854 G.f.: (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)/(1081*t^12 - 46*t^11 - 46*t^10 - 46*t^9 -46*t^8 -46*t^7 -46*t^6 - 46*t^5 - 46*t^4 - 46*t^3 - 46*t^2 - 46*t + 1).
%t A166854 CoefficientList[Series[(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)/(1081*t^12 - 46*t^11 - 46*t^10 - 46*t^9 - 46*t^8 - 46*t^7 - 46*t^6 - 46*t^5 - 46*t^4 - 46*t^3 - 46*t^2 - 46*t + 1), {t, 0, 50}], t] (* _G. C. Greubel_, May 25 2016 *)
%K A166854 nonn
%O A166854 0,2
%A A166854 _John Cannon_ and _N. J. A. Sloane_, Dec 03 2009