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.

A167468 Number of reduced words of length n in Coxeter group on 37 generators S_i with relations (S_i)^2 = (S_i S_j)^14 = I.

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%I A167468 #10 Nov 24 2016 10:52:53
%S A167468 1,37,1332,47952,1726272,62145792,2237248512,80540946432,
%T A167468 2899474071552,104381066575872,3757718396731392,135277862282330112,
%U A167468 4870003042163884032,175320109517899825152,6311523942644393704806
%N A167468 Number of reduced words of length n in Coxeter group on 37 generators S_i with relations (S_i)^2 = (S_i S_j)^14 = I.
%C A167468 The initial terms coincide with those of A170756, although the two sequences are eventually different.
%C A167468 Computed with MAGMA using commands similar to those used to compute A154638.
%H A167468 G. C. Greubel, <a href="/A167468/b167468.txt">Table of n, a(n) for n = 0..500</a>
%H A167468 <a href="/index/Rec#order_14">Index entries for linear recurrences with constant coefficients</a>, signature (35, 35, 35, 35, 35, 35, 35, 35, 35, 35, 35, 35, 35, -630).
%F A167468 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)/(630*t^14 - 35*t^13 - 35*t^12 - 35*t^11 - 35*t^10 - 35*t^9 - 35*t^8 - 35*t^7 - 35*t^6 - 35*t^5 - 35*t^4 - 35*t^3 - 35*t^2 - 35*t + 1).
%t A167468 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)/ (630*t^14 - 35*t^13 - 35*t^12 - 35*t^11 - 35*t^10 - 35*t^9 - 35*t^8 - 35*t^7 - 35*t^6 - 35*t^5 - 35*t^4 - 35*t^3 - 35*t^2 - 35*t + 1), {t, 0, 50}], t] (* _G. C. Greubel_, Jun 13 2016 *)
%K A167468 nonn
%O A167468 0,2
%A A167468 _John Cannon_ and _N. J. A. Sloane_, Dec 03 2009