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.

A164666 Number of reduced words of length n in Coxeter group on 30 generators S_i with relations (S_i)^2 = (S_i S_j)^7 = I.

This page as a plain text file.
%I A164666 #10 Feb 22 2024 14:37:06
%S A164666 1,30,870,25230,731670,21218430,615334470,17844699195,517496264040,
%T A164666 15007391291760,435214336864440,12621215461767360,366015239479512840,
%U A164666 10614441686465394960,307818801412722798030,8926745023620530422680
%N A164666 Number of reduced words of length n in Coxeter group on 30 generators S_i with relations (S_i)^2 = (S_i S_j)^7 = I.
%C A164666 The initial terms coincide with those of A170749, although the two sequences are eventually different.
%C A164666 Computed with MAGMA using commands similar to those used to compute A154638.
%H A164666 <a href="/index/Rec#order_07">Index entries for linear recurrences with constant coefficients</a>, signature (28,28,28,28,28,28,-406).
%F A164666 G.f.: (t^7 + 2*t^6 + 2*t^5 + 2*t^4 + 2*t^3 + 2*t^2 + 2*t + 1)/(406*t^7 - 28*t^6 - 28*t^5 - 28*t^4 - 28*t^3 - 28*t^2 - 28*t + 1).
%K A164666 nonn
%O A164666 0,2
%A A164666 _John Cannon_ and _N. J. A. Sloane_, Dec 03 2009