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.

A167382 Number of reduced words of length n in Coxeter group on 32 generators S_i with relations (S_i)^2 = (S_i S_j)^14 = I.

This page as a plain text file.
%I A167382 #12 Aug 13 2021 13:19:56
%S A167382 1,32,992,30752,953312,29552672,916132832,28400117792,880403651552,
%T A167382 27292513198112,846067909141472,26228105183385632,813071260684954592,
%U A167382 25205209081233592352,781361481518241362416,24222205927065482219520
%N A167382 Number of reduced words of length n in Coxeter group on 32 generators S_i with relations (S_i)^2 = (S_i S_j)^14 = I.
%C A167382 The initial terms coincide with those of A170751, although the two sequences are eventually different.
%C A167382 Computed with MAGMA using commands similar to those used to compute A154638.
%H A167382 G. C. Greubel, <a href="/A167382/b167382.txt">Table of n, a(n) for n = 0..500</a>
%H A167382 <a href="/index/Rec#order_14">Index entries for linear recurrences with constant coefficients</a>, signature (30, 30, 30, 30, 30, 30, 30, 30, 30, 30, 30, 30, 30, -465).
%F A167382 G.f.: (t^14 + 2*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)/(465*t^14 - 30*t^13 - 30*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 A167382 CoefficientList[Series[(t^14 + 2*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)/ (465*t^14 - 30*t^13 - 30*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_, Jun 12 2016 *)
%t A167382 coxG[{14,465,-30}] (* The coxG program is at A169452 *) (* _Harvey P. Dale_, Aug 13 2021 *)
%K A167382 nonn
%O A167382 0,2
%A A167382 _John Cannon_ and _N. J. A. Sloane_, Dec 03 2009