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.

A164892 Number of reduced words of length n in Coxeter group on 18 generators S_i with relations (S_i)^2 = (S_i S_j)^8 = I.

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%I A164892 #8 Mar 06 2024 17:46:44
%S A164892 1,18,306,5202,88434,1503378,25557426,434476242,7386095961,
%T A164892 125563628736,2134581644448,36287887206528,616894069776480,
%U A164892 10487198969713728,178282378804864032,3030800377118109696,51523605347410047672
%N A164892 Number of reduced words of length n in Coxeter group on 18 generators S_i with relations (S_i)^2 = (S_i S_j)^8 = I.
%C A164892 The initial terms coincide with those of A170737, although the two sequences are eventually different.
%C A164892 Computed with MAGMA using commands similar to those used to compute A154638.
%H A164892 <a href="/index/Rec#order_08">Index entries for linear recurrences with constant coefficients</a>, signature (16, 16, 16, 16, 16, 16, 16, -136).
%F A164892 G.f. (t^8 + 2*t^7 + 2*t^6 + 2*t^5 + 2*t^4 + 2*t^3 + 2*t^2 + 2*t + 1)/(136*t^8 -
%F A164892 16*t^7 - 16*t^6 - 16*t^5 - 16*t^4 - 16*t^3 - 16*t^2 - 16*t + 1)
%t A164892 coxG[{8,136,-16}] (* The coxG program is at A169452 *) (* _Harvey P. Dale_, Mar 06 2024 *)
%K A164892 nonn
%O A164892 0,2
%A A164892 _John Cannon_ and _N. J. A. Sloane_, Dec 03 2009