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.

A164626 Number of reduced words of length n in Coxeter group on 15 generators S_i with relations (S_i)^2 = (S_i S_j)^7 = I.

This page as a plain text file.
%I A164626 #10 Feb 22 2024 13:33:12
%S A164626 1,15,210,2940,41160,576240,8067360,112942935,1581199620,22136774205,
%T A164626 309914552220,4338799717980,60743139868320,850403171588880,
%U A164626 11905633390308840,166678713297370365,2333499827827833210
%N A164626 Number of reduced words of length n in Coxeter group on 15 generators S_i with relations (S_i)^2 = (S_i S_j)^7 = I.
%C A164626 The initial terms coincide with those of A170734, although the two sequences are eventually different.
%C A164626 Computed with MAGMA using commands similar to those used to compute A154638.
%H A164626 <a href="/index/Rec#order_07">Index entries for linear recurrences with constant coefficients</a>, signature (13,13,13,13,13,13,-91).
%F A164626 G.f.: (t^7 + 2*t^6 + 2*t^5 + 2*t^4 + 2*t^3 + 2*t^2 + 2*t + 1)/(91*t^7 - 13*t^6 - 13*t^5 - 13*t^4 - 13*t^3 - 13*t^2 - 13*t + 1).
%K A164626 nonn
%O A164626 0,2
%A A164626 _John Cannon_ and _N. J. A. Sloane_, Dec 03 2009