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.

A164672 Number of reduced words of length n in Coxeter group on 36 generators S_i with relations (S_i)^2 = (S_i S_j)^7 = I.

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%I A164672 #10 Feb 22 2024 15:13:02
%S A164672 1,36,1260,44100,1543500,54022500,1890787500,66177561870,
%T A164672 2316214643400,81067511747880,2837362884186600,99307700001909000,
%U A164672 3475769467005045000,121651930188014625000,4257817516079844021270,149023611645271179358500
%N A164672 Number of reduced words of length n in Coxeter group on 36 generators S_i with relations (S_i)^2 = (S_i S_j)^7 = I.
%C A164672 The initial terms coincide with those of A170755, although the two sequences are eventually different.
%C A164672 Computed with MAGMA using commands similar to those used to compute A154638.
%H A164672 <a href="/index/Rec#order_07">Index entries for linear recurrences with constant coefficients</a>, signature (34,34,34,34,34,34,-595).
%F A164672 G.f.: (t^7 + 2*t^6 + 2*t^5 + 2*t^4 + 2*t^3 + 2*t^2 + 2*t + 1)/(595*t^7 - 34*t^6 - 34*t^5 - 34*t^4 - 34*t^3 - 34*t^2 - 34*t + 1).
%K A164672 nonn
%O A164672 0,2
%A A164672 _John Cannon_ and _N. J. A. Sloane_, Dec 03 2009