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.
%I A166622 #12 Jul 24 2017 12:51:17 %S A166622 1,32,992,30752,953312,29552672,916132832,28400117792,880403651552, %T A166622 27292513198112,846067909141472,26228105183385632,813071260684954096, %U A166622 25205209081233561600,781361481518239933440,24222205927065423175680 %N A166622 Number of reduced words of length n in Coxeter group on 32 generators S_i with relations (S_i)^2 = (S_i S_j)^12 = I. %C A166622 The initial terms coincide with those of A170751, although the two sequences are eventually different. %C A166622 Computed with MAGMA using commands similar to those used to compute A154638. %H A166622 G. C. Greubel, <a href="/A166622/b166622.txt">Table of n, a(n) for n = 0..500</a> %H A166622 <a href="/index/Rec#order_12">Index entries for linear recurrences with constant coefficients</a>, signature (30, 30, 30, 30, 30, 30, 30, 30, 30, 30, 30, -465). %F A166622 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)/(465*t^12 - 30*t^11 - 30*t^10 - 30*t^9 -30*t^8 -30*t^7 - 30*t^6 - 30*t^5 - 30*t^4 - 30*t^3 - 30*t^2 - 30*t +1). %t A166622 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)/(465*t^12 - 30*t^11 - 30*t^10 - 30*t^9 - 30*t^8 - 30*t^7 - 30*t^6 - 30*t^5 - 30*t^4 - 30*t^3 - 30*t^2 - 30*t + 1), {t, 0, 50}], t] (* _G. C. Greubel_, May 19 2016 *) %t A166622 coxG[{12,465,-30}] (* The coxG program is at A169452 *) (* _Harvey P. Dale_, Jul 24 2017 *) %K A166622 nonn %O A166622 0,2 %A A166622 _John Cannon_ and _N. J. A. Sloane_, Dec 03 2009