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.

A162805 Number of reduced words of length n in Coxeter group on 19 generators S_i with relations (S_i)^2 = (S_i S_j)^3 = I.

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%I A162805 #8 Nov 23 2016 15:24:52
%S A162805 1,19,342,5985,104652,1828503,31947930,558187605,9752543136,
%T A162805 170394389307,2977095147966,52015183033833,908798387526612,
%U A162805 15878335141888767,277422946995884994,4847075643050582301
%N A162805 Number of reduced words of length n in Coxeter group on 19 generators S_i with relations (S_i)^2 = (S_i S_j)^3 = I.
%C A162805 The initial terms coincide with those of A170738, although the two sequences are eventually different.
%C A162805 Computed with MAGMA using commands similar to those used to compute A154638.
%H A162805 <a href="/index/Rec#order_03">Index entries for linear recurrences with constant coefficients</a>, signature (17, 17, -153).
%F A162805 G.f.: (t^3 + 2*t^2 + 2*t + 1)/(153*t^3 - 17*t^2 - 17*t + 1)
%t A162805 CoefficientList[Series[(t^3+2*t^2+2*t+1)/(153*t^3-17*t^2-17*t+1),{t,0,30}],t] (* _Harvey P. Dale_, Aug 14 2011 *)
%K A162805 nonn
%O A162805 0,2
%A A162805 _John Cannon_ and _N. J. A. Sloane_, Dec 03 2009