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.

A165651 Number of reduced words of length n in Coxeter group on 36 generators S_i with relations (S_i)^2 = (S_i S_j)^9 = I.

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%I A165651 #8 Oct 05 2023 10:43:42
%S A165651 1,36,1260,44100,1543500,54022500,1890787500,66177562500,
%T A165651 2316214687500,81067514061870,2837362992143400,99307704724247880,
%U A165651 3475769665321686600,121651938285314409000,4257817839952942545000,149023624397195827125000
%N A165651 Number of reduced words of length n in Coxeter group on 36 generators S_i with relations (S_i)^2 = (S_i S_j)^9 = I.
%C A165651 The initial terms coincide with those of A170755, although the two sequences are eventually different.
%C A165651 Computed with MAGMA using commands similar to those used to compute A154638.
%H A165651 <a href="/index/Rec#order_09">Index entries for linear recurrences with constant coefficients</a>, signature (34, 34, 34, 34, 34, 34, 34, 34, -595).
%F A165651 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 A165651 1)/(595*t^9 - 34*t^8 - 34*t^7 - 34*t^6 - 34*t^5 - 34*t^4 - 34*t^3 -
%F A165651 34*t^2 - 34*t + 1)
%t A165651 coxG[{9,595,-34}] (* The coxG program is at A169452 *) (* _Harvey P. Dale_, Oct 05 2023 *)
%K A165651 nonn
%O A165651 0,2
%A A165651 _John Cannon_ and _N. J. A. Sloane_, Dec 03 2009