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.

A164959 Number of reduced words of length n in Coxeter group on 24 generators S_i with relations (S_i)^2 = (S_i S_j)^8 = I.

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%I A164959 #8 Mar 20 2023 08:31:28
%S A164959 1,24,552,12696,292008,6716184,154472232,3552861336,81715810452,
%T A164959 1879463634048,43227663437376,994236255707904,22867433804191680,
%U A164959 525950975723336064,12096872400856060224,278228064281733992448
%N A164959 Number of reduced words of length n in Coxeter group on 24 generators S_i with relations (S_i)^2 = (S_i S_j)^8 = I.
%C A164959 The initial terms coincide with those of A170743, although the two sequences are eventually different.
%C A164959 Computed with MAGMA using commands similar to those used to compute A154638.
%H A164959 <a href="/index/Rec#order_08">Index entries for linear recurrences with constant coefficients</a>, signature (22, 22, 22, 22, 22, 22, 22, -253).
%F A164959 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)/(253*t^8 -
%F A164959 22*t^7 - 22*t^6 - 22*t^5 - 22*t^4 - 22*t^3 - 22*t^2 - 22*t + 1)
%t A164959 coxG[{8,253,-22}] (* The coxG program is at A169452 *) (* _Harvey P. Dale_, Mar 20 2023 *)
%K A164959 nonn
%O A164959 0,2
%A A164959 _John Cannon_ and _N. J. A. Sloane_, Dec 03 2009