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.

A164781 Number of reduced words of length n in Coxeter group on 12 generators S_i with relations (S_i)^2 = (S_i S_j)^8 = I.

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%I A164781 #12 Feb 23 2024 04:20:14
%S A164781 1,12,132,1452,15972,175692,1932612,21258732,233845986,2572305120,
%T A164781 28295348400,311248745280,3423735239760,37661077095840,
%U A164781 414271732097520,4556987777548800,50126851522277970,551395212406754100
%N A164781 Number of reduced words of length n in Coxeter group on 12 generators S_i with relations (S_i)^2 = (S_i S_j)^8 = I.
%C A164781 The initial terms coincide with those of A003954, although the two sequences are eventually different.
%C A164781 Computed with MAGMA using commands similar to those used to compute A154638.
%H A164781 <a href="/index/Rec#order_08">Index entries for linear recurrences with constant coefficients</a>, signature (10, 10, 10, 10, 10, 10, 10, -55).
%F A164781 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)/(55*t^8 - 10*t^7 - 10*t^6 - 10*t^5 - 10*t^4 - 10*t^3 - 10*t^2 - 10*t + 1).
%t A164781 coxG[{8, 55, -10}] (* The coxG program is at A169452 *) (* _Harvey P. Dale_, Oct 17 2015 *)
%K A164781 nonn
%O A164781 0,2
%A A164781 _John Cannon_ and _N. J. A. Sloane_, Dec 03 2009