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.

A167093 Number of reduced words of length n in Coxeter group on 40 generators S_i with relations (S_i)^2 = (S_i S_j)^13 = I.

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%I A167093 #9 Nov 24 2016 10:35:00
%S A167093 1,40,1560,60840,2372760,92537640,3608967960,140749750440,
%T A167093 5489240267160,214080370419240,8349134446350360,325616243407664040,
%U A167093 12699033492898897560,495262306223057004060,19315229942699223127920
%N A167093 Number of reduced words of length n in Coxeter group on 40 generators S_i with relations (S_i)^2 = (S_i S_j)^13 = I.
%C A167093 The initial terms coincide with those of A170759, although the two sequences are eventually different.
%C A167093 Computed with MAGMA using commands similar to those used to compute A154638.
%H A167093 G. C. Greubel, <a href="/A167093/b167093.txt">Table of n, a(n) for n = 0..500</a>
%H A167093 <a href="/index/Rec#order_13">Index entries for linear recurrences with constant coefficients</a>, signature (38, 38, 38, 38, 38, 38, 38, 38, 38, 38, 38, 38, -741).
%F A167093 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)/(741*t^13 - 38*t^12 - 38*t^11 - 38*t^10 - 38*t^9 - 38*t^8 - 38*t^7 - 38*t^6 - 38*t^5 - 38*t^4 - 38*t^3 - 38*t^2 - 38*t + 1).
%t A167093 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)/(741*t^13 - 38*t^12 - 38*t^11 - 38*t^10 - 38*t^9 - 38*t^8 - 38*t^7 - 38*t^6 - 38*t^5 - 38*t^4 - 38*t^3 - 38*t^2 - 38*t + 1), {t, 0, 50}], t] (* _G. C. Greubel_, Jun 02 2016 *)
%K A167093 nonn
%O A167093 0,2
%A A167093 _John Cannon_ and _N. J. A. Sloane_, Dec 03 2009