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.

A166679 Number of reduced words of length n in Coxeter group on 33 generators S_i with relations (S_i)^2 = (S_i S_j)^12 = I.

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%I A166679 #13 Jul 21 2021 15:28:28
%S A166679 1,33,1056,33792,1081344,34603008,1107296256,35433480192,
%T A166679 1133871366144,36283883716608,1161084278931456,37154696925806592,
%U A166679 1188950301625810416,38046409652025916416,1217485108864828785168,38959523483674503840768
%N A166679 Number of reduced words of length n in Coxeter group on 33 generators S_i with relations (S_i)^2 = (S_i S_j)^12 = I.
%C A166679 The initial terms coincide with those of A170752, although the two sequences are eventually different.
%C A166679 Computed with MAGMA using commands similar to those used to compute A154638.
%H A166679 G. C. Greubel, <a href="/A166679/b166679.txt">Table of n, a(n) for n = 0..500</a>
%H A166679 <a href="/index/Rec#order_12">Index entries for linear recurrences with constant coefficients</a>, signature (31, 31, 31, 31, 31, 31, 31, 31, 31, 31, 31, -496).
%F A166679 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)/(496*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 A166679 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)/(496*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_, May 23 2016 *)
%t A166679 coxG[{12,496,-31}] (* The coxG program is at A169452 *) (* _Harvey P. Dale_, Jul 21 2021 *)
%K A166679 nonn
%O A166679 0,2
%A A166679 _John Cannon_ and _N. J. A. Sloane_, Dec 03 2009