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.

A164695 Number of reduced words of length n in Coxeter group on 50 generators S_i with relations (S_i)^2 = (S_i S_j)^7 = I.

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%I A164695 #10 Feb 25 2024 08:35:35
%S A164695 1,50,2450,120050,5882450,288240050,14123762450,692064358825,
%T A164695 33911153522400,1661646519657600,81420679319162400,
%U A164695 3989613279580017600,195491050353532802400,9579061450374592377600,469374010237877795941800
%N A164695 Number of reduced words of length n in Coxeter group on 50 generators S_i with relations (S_i)^2 = (S_i S_j)^7 = I.
%C A164695 The initial terms coincide with those of A170769, although the two sequences are eventually different.
%C A164695 Computed with MAGMA using commands similar to those used to compute A154638.
%H A164695 <a href="/index/Rec#order_07">Index entries for linear recurrences with constant coefficients</a>, signature (48, 48, 48, 48, 48, 48, -1176).
%F A164695 G.f.: (t^7 + 2*t^6 + 2*t^5 + 2*t^4 + 2*t^3 + 2*t^2 + 2*t + 1)/(1176*t^7 - 48*t^6 - 48*t^5 - 48*t^4 - 48*t^3 - 48*t^2 - 48*t + 1).
%K A164695 nonn
%O A164695 0,2
%A A164695 _John Cannon_ and _N. J. A. Sloane_, Dec 03 2009