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.

A165173 Number of reduced words of length n in Coxeter group on 41 generators S_i with relations (S_i)^2 = (S_i S_j)^8 = I.

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%I A165173 #8 Dec 01 2016 09:56:57
%S A165173 1,41,1640,65600,2624000,104960000,4198400000,167936000000,
%T A165173 6717439999180,268697599934400,10747903996064820,429916159790145600,
%U A165173 17196646389507936000,687865855496401920000,27514634216499456000000
%N A165173 Number of reduced words of length n in Coxeter group on 41 generators S_i with relations (S_i)^2 = (S_i S_j)^8 = I.
%C A165173 The initial terms coincide with those of A170760, although the two sequences are eventually different.
%C A165173 Computed with MAGMA using commands similar to those used to compute A154638.
%H A165173 <a href="/index/Rec#order_08">Index entries for linear recurrences with constant coefficients</a>, signature (39, 39, 39, 39, 39, 39, 39, -780).
%F A165173 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)/(780*t^8 -
%F A165173 39*t^7 - 39*t^6 - 39*t^5 - 39*t^4 - 39*t^3 - 39*t^2 - 39*t + 1)
%t A165173 coxG[{8,780,-39}] (* The coxG program is at A169452 *) (* _Harvey P. Dale_, Dec 01 2016 *)
%K A165173 nonn
%O A165173 0,2
%A A165173 _John Cannon_ and _N. J. A. Sloane_, Dec 03 2009