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.

A165649 Number of reduced words of length n in Coxeter group on 34 generators S_i with relations (S_i)^2 = (S_i S_j)^9 = I.

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%I A165649 #8 Sep 24 2022 11:06:34
%S A165649 1,34,1122,37026,1221858,40321314,1330603362,43909910946,
%T A165649 1449027061218,47817893019633,1577990469629376,52073685497159040,
%U A165649 1718431621386106176,56708243505076813056,1871372035645600036032,61755277175580952960128
%N A165649 Number of reduced words of length n in Coxeter group on 34 generators S_i with relations (S_i)^2 = (S_i S_j)^9 = I.
%C A165649 The initial terms coincide with those of A170753, although the two sequences are eventually different.
%C A165649 Computed with MAGMA using commands similar to those used to compute A154638.
%H A165649 <a href="/index/Rec#order_09">Index entries for linear recurrences with constant coefficients</a>, signature (32, 32, 32, 32, 32, 32, 32, 32, -528).
%F A165649 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 A165649 1)/(528*t^9 - 32*t^8 - 32*t^7 - 32*t^6 - 32*t^5 - 32*t^4 - 32*t^3 -
%F A165649 32*t^2 - 32*t + 1)
%t A165649 coxG[{9,528,-32}] (* The coxG program is at A169452 *) (* _Harvey P. Dale_, Sep 24 2022 *)
%K A165649 nonn
%O A165649 0,2
%A A165649 _John Cannon_ and _N. J. A. Sloane_, Dec 03 2009