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.

A167027 Number of reduced words of length n in Coxeter group on 17 generators S_i with relations (S_i)^2 = (S_i S_j)^13 = I.

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%I A167027 #11 Nov 24 2016 10:27:21
%S A167027 1,17,272,4352,69632,1114112,17825792,285212672,4563402752,
%T A167027 73014444032,1168231104512,18691697672192,299067162755072,
%U A167027 4785074604081016,76561193665294080,1224979098644670600,19599665578314174720
%N A167027 Number of reduced words of length n in Coxeter group on 17 generators S_i with relations (S_i)^2 = (S_i S_j)^13 = I.
%C A167027 The initial terms coincide with those of A170736, although the two sequences are eventually different.
%C A167027 Computed with MAGMA using commands similar to those used to compute A154638.
%H A167027 G. C. Greubel, <a href="/A167027/b167027.txt">Table of n, a(n) for n = 0..500</a>
%H A167027 <a href="/index/Rec#order_13">Index entries for linear recurrences with constant coefficients</a>, signature (15, 15, 15, 15, 15, 15, 15, 15, 15, 15, 15, 15, -120).
%F A167027 G.f.: (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)/(120*t^13 - 15*t^12 - 15*t^11 - 15*t^10 - 15*t^9 - 15*t^8 - 15*t^7 - 15*t^6 - 15*t^5 - 15*t^4 - 15*t^3 - 15*t^2 - 15*t + 1).
%t A167027 CoefficientList[Series[(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)/(120*t^13 - 15*t^12 - 15*t^11 - 15*t^10 - 15*t^9 - 15*t^8 - 15*t^7 - 15*t^6 - 15*t^5 - 15*t^4 - 15*t^3 - 15*t^2 - 15*t + 1), {t, 0, 50}], t] (* _G. C. Greubel_, May 30 2016 *)
%K A167027 nonn
%O A167027 0,2
%A A167027 _John Cannon_ and _N. J. A. Sloane_, Dec 03 2009