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.

A164691 Number of reduced words of length n in Coxeter group on 46 generators S_i with relations (S_i)^2 = (S_i S_j)^7 = I.

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%I A164691 #10 Feb 25 2024 08:34:54
%S A164691 1,46,2070,93150,4191750,188628750,8488293750,381973217715,
%T A164691 17188794750600,773495761682160,34807309181429400,1566328908922272000,
%U A164691 70484800710609945000,3171816023387294250000,142731720665871344945190
%N A164691 Number of reduced words of length n in Coxeter group on 46 generators S_i with relations (S_i)^2 = (S_i S_j)^7 = I.
%C A164691 The initial terms coincide with those of A170765, although the two sequences are eventually different.
%C A164691 Computed with MAGMA using commands similar to those used to compute A154638.
%H A164691 <a href="/index/Rec#order_07">Index entries for linear recurrences with constant coefficients</a>, signature (44, 44, 44, 44, 44, 44, -990).
%F A164691 G.f.: (t^7 + 2*t^6 + 2*t^5 + 2*t^4 + 2*t^3 + 2*t^2 + 2*t + 1)/(990*t^7 - 44*t^6 - 44*t^5 - 44*t^4 - 44*t^3 - 44*t^2 - 44*t + 1).
%K A164691 nonn
%O A164691 0,2
%A A164691 _John Cannon_ and _N. J. A. Sloane_, Dec 03 2009