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.

A167026 Number of reduced words of length n in Coxeter group on 16 generators S_i with relations (S_i)^2 = (S_i S_j)^13 = I.

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%I A167026 #10 Nov 24 2016 10:26:53
%S A167026 1,16,240,3600,54000,810000,12150000,182250000,2733750000,41006250000,
%T A167026 615093750000,9226406250000,138396093750000,2075941406249880,
%U A167026 31139121093746400,467086816406169120,7006302246092133600
%N A167026 Number of reduced words of length n in Coxeter group on 16 generators S_i with relations (S_i)^2 = (S_i S_j)^13 = I.
%C A167026 The initial terms coincide with those of A170735, although the two sequences are eventually different.
%C A167026 Computed with MAGMA using commands similar to those used to compute A154638.
%H A167026 G. C. Greubel, <a href="/A167026/b167026.txt">Table of n, a(n) for n = 0..500</a>
%H A167026 <a href="/index/Rec#order_13">Index entries for linear recurrences with constant coefficients</a>, signature (14, 14, 14, 14, 14, 14, 14, 14, 14, 14, 14, 14, -105).
%F A167026 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)/(105*t^13 - 14*t^12 - 14*t^11 - 14*t^10 - 14*t^9 - 14*t^8 - 14*t^7 - 14*t^6 - 14*t^5 - 14*t^4 - 14*t^3 - 14*t^2 - 14*t + 1).
%t A167026 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)/(105*t^13 - 14*t^12 - 14*t^11 - 14*t^10 - 14*t^9 - 14*t^8 - 14*t^7 - 14*t^6 - 14*t^5 - 14*t^4 - 14*t^3 - 14*t^2 - 14*t + 1), {t, 0, 50}], t] (* _G. C. Greubel_, May 30 2016 *)
%K A167026 nonn
%O A167026 0,2
%A A167026 _John Cannon_ and _N. J. A. Sloane_, Dec 03 2009