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.

A167113 Number of reduced words of length n in Coxeter group on 12 generators S_i with relations (S_i)^2 = (S_i S_j)^14 = I.

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%I A167113 #10 Nov 24 2016 10:44:53
%S A167113 1,12,132,1452,15972,175692,1932612,21258732,233846052,2572306572,
%T A167113 28295372292,311249095212,3423740047332,37661140520652,
%U A167113 414272545727106,4556998002997440,50126978032963920,551396758362516000
%N A167113 Number of reduced words of length n in Coxeter group on 12 generators S_i with relations (S_i)^2 = (S_i S_j)^14 = I.
%C A167113 The initial terms coincide with those of A003954, although the two sequences are eventually different.
%C A167113 Computed with MAGMA using commands similar to those used to compute A154638.
%H A167113 G. C. Greubel, <a href="/A167113/b167113.txt">Table of n, a(n) for n = 0..500</a>
%H A167113 <a href="/index/Rec#order_14">Index entries for linear recurrences with constant coefficients</a>, signature (10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, -55).
%F A167113 G.f.: (t^14 + 2*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)/(55*t^14 - 10*t^13 - 10*t^12 - 10*t^11 - 10*t^10 - 10*t^9 - 10*t^8 - 10*t^7 - 10*t^6 - 10*t^5 - 10*t^4 - 10*t^3 - 10*t^2 - 10*t + 1).
%t A167113 CoefficientList[Series[(t^14 + 2*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)/ (55*t^14 - 10*t^13 - 10*t^12 - 10*t^11 - 10*t^10 - 10*t^9 - 10*t^8 - 10*t^7 - 10*t^6 - 10*t^5 - 10*t^4 - 10*t^3 - 10*t^2 - 10*t + 1), {t, 0, 50}], t] (* _G. C. Greubel_, Jun 03 2016 *)
%K A167113 nonn
%O A167113 0,2
%A A167113 _John Cannon_ and _N. J. A. Sloane_, Dec 03 2009