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.

A167715 Number of reduced words of length n in Coxeter group on 30 generators S_i with relations (S_i)^2 = (S_i S_j)^15 = I.

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%I A167715 #10 Nov 24 2016 11:09:39
%S A167715 1,30,870,25230,731670,21218430,615334470,17844699630,517496289270,
%T A167715 15007392388830,435214379276070,12621216999006030,366015292971174870,
%U A167715 10614443496164071230,307818861388758065670,8926746980273983903995
%N A167715 Number of reduced words of length n in Coxeter group on 30 generators S_i with relations (S_i)^2 = (S_i S_j)^15 = I.
%C A167715 The initial terms coincide with those of A170749, although the two sequences are eventually different.
%C A167715 Computed with MAGMA using commands similar to those used to compute A154638.
%H A167715 G. C. Greubel, <a href="/A167715/b167715.txt">Table of n, a(n) for n = 0..500</a>
%H A167715 <a href="/index/Rec#order_15">Index entries for linear recurrences with constant coefficients</a>, signature (28, 28, 28, 28, 28, 28, 28, 28, 28, 28, 28, 28, 28, 28, -406).
%F A167715 G.f.: (t^15 + 2*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)/(406*t^15 - 28*t^14 - 28*t^13 - 28*t^12 - 28*t^11 - 28*t^10 - 28*t^9 - 28*t^8 - 28*t^7 - 28*t^6 - 28*t^5 - 28*t^4 - 28*t^3 - 28*t^2 - 28*t + 1).
%t A167715 CoefficientList[Series[(t^15 + 2*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)/(406*t^15 - 28*t^14 - 28*t^13 - 28*t^12 - 28*t^11 - 28*t^10 - 28*t^9 - 28*t^8 - 28*t^7 - 28*t^6 - 28*t^5 - 28*t^4 - 28*t^3 - 28*t^2 - 28*t + 1), {t, 0, 50}], t] (* _G. C. Greubel_, Jun 20 2016 *)
%K A167715 nonn
%O A167715 0,2
%A A167715 _John Cannon_ and _N. J. A. Sloane_, Dec 03 2009