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.

A164644 Number of reduced words of length n in Coxeter group on 27 generators S_i with relations (S_i)^2 = (S_i S_j)^7 = I.

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%I A164644 #10 Feb 22 2024 15:19:49
%S A164644 1,27,702,18252,474552,12338352,320797152,8340725601,216858856500,
%T A164644 5638330032075,146596574673900,3811510781360100,99099276151168800,
%U A164644 2576581071661350000,66991105048200214050,1741768658063341610625
%N A164644 Number of reduced words of length n in Coxeter group on 27 generators S_i with relations (S_i)^2 = (S_i S_j)^7 = I.
%C A164644 The initial terms coincide with those of A170746, although the two sequences are eventually different.
%C A164644 Computed with MAGMA using commands similar to those used to compute A154638.
%H A164644 <a href="/index/Rec#order_07">Index entries for linear recurrences with constant coefficients</a>, signature (25,25,25,25,25,25,-325).
%F A164644 G.f.: (t^7 + 2*t^6 + 2*t^5 + 2*t^4 + 2*t^3 + 2*t^2 + 2*t + 1)/(325*t^7 - 25*t^6 - 25*t^5 - 25*t^4 - 25*t^3 - 25*t^2 - 25*t + 1).
%K A164644 nonn
%O A164644 0,2
%A A164644 _John Cannon_ and _N. J. A. Sloane_, Dec 03 2009