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.

A165695 Number of reduced words of length n in Coxeter group on 44 generators S_i with relations (S_i)^2 = (S_i S_j)^9 = I.

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%I A165695 #8 Mar 08 2020 18:26:32
%S A165695 1,44,1892,81356,3498308,150427244,6468371492,278139974156,
%T A165695 11960018888708,514280812213498,22114074925139736,950905221779260440,
%U A165695 40888924536433025976,1758223755063387680376,75603621467586675482712
%N A165695 Number of reduced words of length n in Coxeter group on 44 generators S_i with relations (S_i)^2 = (S_i S_j)^9 = I.
%C A165695 The initial terms coincide with those of A170763, although the two sequences are eventually different.
%C A165695 Computed with MAGMA using commands similar to those used to compute A154638.
%H A165695 <a href="/index/Rec#order_09">Index entries for linear recurrences with constant coefficients</a>, signature (42, 42, 42, 42, 42, 42, 42, 42, -903).
%F A165695 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 A165695 1)/(903*t^9 - 42*t^8 - 42*t^7 - 42*t^6 - 42*t^5 - 42*t^4 - 42*t^3 -
%F A165695 42*t^2 - 42*t + 1)
%t A165695 coxG[{9,903,-42}] (* The coxG program is at A169452 *) (* _Harvey P. Dale_, Mar 08 2020 *)
%K A165695 nonn
%O A165695 0,2
%A A165695 _John Cannon_ and _N. J. A. Sloane_, Dec 03 2009