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.

A167652 Number of reduced words of length n in Coxeter group on 7 generators S_i with relations (S_i)^2 = (S_i S_j)^15 = I.

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%I A167652 #10 Nov 24 2016 11:01:50
%S A167652 1,7,42,252,1512,9072,54432,326592,1959552,11757312,70543872,
%T A167652 423263232,2539579392,15237476352,91424858112,548549148651,
%U A167652 3291294891780,19747769349945,118486616095260,710919696545100,4265518179111840
%N A167652 Number of reduced words of length n in Coxeter group on 7 generators S_i with relations (S_i)^2 = (S_i S_j)^15 = I.
%C A167652 The initial terms coincide with those of A003949, although the two sequences are eventually different.
%C A167652 Computed with MAGMA using commands similar to those used to compute A154638.
%H A167652 G. C. Greubel, <a href="/A167652/b167652.txt">Table of n, a(n) for n = 0..500</a>
%H A167652 <a href="/index/Rec#order_15">Index entries for linear recurrences with constant coefficients</a>, signature (5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, -15).
%F A167652 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)/(15*t^15 - 5*t^14 - 5*t^13 - 5*t^12 - 5*t^11 - 5*t^10 - 5*t^9 - 5*t^8 - 5*t^7 - 5*t^6 - 5*t^5 - 5*t^4 - 5*t^3 - 5*t^2 - 5*t + 1).
%t A167652 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)/(15*t^15 - 5*t^14 - 5*t^13 - 5*t^12 - 5*t^11 - 5*t^10 - 5*t^9 - 5*t^8 - 5*t^7 - 5*t^6 - 5*t^5 - 5*t^4 - 5*t^3 - 5*t^2 - 5*t + 1), {t, 0, 50}], t] (* _G. C. Greubel_, Jun 18 2016 *)
%K A167652 nonn
%O A167652 0,2
%A A167652 _John Cannon_ and _N. J. A. Sloane_, Dec 03 2009