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.

A166739 Number of reduced words of length n in Coxeter group on 46 generators S_i with relations (S_i)^2 = (S_i S_j)^12 = I.

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%I A166739 #12 Nov 24 2016 09:47:01
%S A166739 1,46,2070,93150,4191750,188628750,8488293750,381973218750,
%T A166739 17188794843750,773495767968750,34807309558593750,1566328930136718750,
%U A166739 70484801856152342715,3171816083526855375600,142731723758708489807160
%N A166739 Number of reduced words of length n in Coxeter group on 46 generators S_i with relations (S_i)^2 = (S_i S_j)^12 = I.
%C A166739 The initial terms coincide with those of A170765, although the two sequences are eventually different.
%C A166739 Computed with MAGMA using commands similar to those used to compute A154638.
%H A166739 G. C. Greubel, <a href="/A166739/b166739.txt">Table of n, a(n) for n = 0..500</a>
%H A166739 <a href="/index/Rec#order_12">Index entries for linear recurrences with constant coefficients</a>, signature (44, 44, 44, 44, 44, 44, 44, 44, 44, 44, 44, -990).
%F A166739 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)/(990*t^12 - 44*t^11 - 44*t^10 - 44*t^9 -44*t^8 -44*t^7 -44*t^6 - 44*t^5 - 44*t^4 - 44*t^3 - 44*t^2 - 44*t + 1).
%t A166739 coxG[{12,990,-44}] (* The coxG program is at A169452 *) (* _Harvey P. Dale_, Jul 16 2015 *)
%t A166739 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)/(990*t^12 - 44*t^11 - 44*t^10 - 44*t^9 - 44*t^8 - 44*t^7 - 44*t^6 - 44*t^5 - 44*t^4 - 44*t^3 - 44*t^2 - 44*t + 1), {t, 0, 50}], t] (* _G. C. Greubel_, May 24 2016 *)
%K A166739 nonn
%O A166739 0,2
%A A166739 _John Cannon_ and _N. J. A. Sloane_, Dec 03 2009