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.

A167086 Number of reduced words of length n in Coxeter group on 33 generators S_i with relations (S_i)^2 = (S_i S_j)^13 = I.

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%I A167086 #12 Nov 24 2016 10:32:36
%S A167086 1,33,1056,33792,1081344,34603008,1107296256,35433480192,
%T A167086 1133871366144,36283883716608,1161084278931456,37154696925806592,
%U A167086 1188950301625810944,38046409652025949680,1217485108864830372864,38959523483674571391504
%N A167086 Number of reduced words of length n in Coxeter group on 33 generators S_i with relations (S_i)^2 = (S_i S_j)^13 = I.
%C A167086 The initial terms coincide with those of A170752, although the two sequences are eventually different.
%C A167086 Computed with MAGMA using commands similar to those used to compute A154638.
%H A167086 G. C. Greubel, <a href="/A167086/b167086.txt">Table of n, a(n) for n = 0..500</a>
%H A167086 <a href="/index/Rec#order_13">Index entries for linear recurrences with constant coefficients</a>, signature (31, 31, 31, 31, 31, 31, 31, 31, 31, 31, 31, 31, -496).
%F A167086 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)/(496*t^13 - 31*t^12 - 31*t^11 - 31*t^10 - 31*t^9 - 31*t^8 - 31*t^7 - 31*t^6 - 31*t^5 - 31*t^4 - 31*t^3 - 31*t^2 - 31*t + 1).
%t A167086 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)/(496*t^13 -31*t^12 - 31*t^11 - 31*t^10 - 31*t^9 - 31*t^8 - 31*t^7 - 31*t^6 -31*t^5 - 31*t^4 - 31*t^3 - 31*t^2 - 31*t + 1), {t, 0, 50}], t] (* _G. C. Greubel_, Jun 01 2016 *)
%K A167086 nonn
%O A167086 0,2
%A A167086 _John Cannon_ and _N. J. A. Sloane_, Dec 03 2009