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.

A165341 Number of reduced words of length n in Coxeter group on 19 generators S_i with relations (S_i)^2 = (S_i S_j)^9 = I.

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%I A165341 #6 Nov 23 2016 22:10:23
%S A165341 1,19,342,6156,110808,1994544,35901792,646232256,11632180608,
%T A165341 209379250773,3768826510836,67838877139815,1221099787522476,
%U A165341 21979796157509076,395636330513044512,7121453943436661808
%N A165341 Number of reduced words of length n in Coxeter group on 19 generators S_i with relations (S_i)^2 = (S_i S_j)^9 = I.
%C A165341 The initial terms coincide with those of A170738, although the two sequences are eventually different.
%C A165341 Computed with MAGMA using commands similar to those used to compute A154638.
%H A165341 <a href="/index/Rec#order_09">Index entries for linear recurrences with constant coefficients</a>, signature (17, 17, 17, 17, 17, 17, 17, 17, -153).
%F A165341 G.f. (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 +
%F A165341 1)/(153*t^9 - 17*t^8 - 17*t^7 - 17*t^6 - 17*t^5 - 17*t^4 - 17*t^3 -
%F A165341 17*t^2 - 17*t + 1)
%K A165341 nonn
%O A165341 0,2
%A A165341 _John Cannon_ and _N. J. A. Sloane_, Dec 03 2009