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.

A165179 Number of reduced words of length n in Coxeter group on 47 generators S_i with relations (S_i)^2 = (S_i S_j)^8 = I.

This page as a plain text file.
%I A165179 #8 Jun 04 2023 10:24:00
%S A165179 1,47,2162,99452,4574792,210440432,9680259872,445291954112,
%T A165179 20483429888071,942237774801540,43342937638584525,1993775131269717660,
%U A165179 91713656033569169820,4218828177321641054880,194066096146558613709840
%N A165179 Number of reduced words of length n in Coxeter group on 47 generators S_i with relations (S_i)^2 = (S_i S_j)^8 = I.
%C A165179 The initial terms coincide with those of A170766, although the two sequences are eventually different.
%C A165179 Computed with MAGMA using commands similar to those used to compute A154638.
%H A165179 <a href="/index/Rec#order_08">Index entries for linear recurrences with constant coefficients</a>, signature (45, 45, 45, 45, 45, 45, 45, -1035).
%F A165179 G.f. (t^8 + 2*t^7 + 2*t^6 + 2*t^5 + 2*t^4 + 2*t^3 + 2*t^2 + 2*t + 1)/(1035*t^8 -
%F A165179 45*t^7 - 45*t^6 - 45*t^5 - 45*t^4 - 45*t^3 - 45*t^2 - 45*t + 1)
%t A165179 coxG[{8,1035,-45}] (* The coxG program is at A169452 *) (* _Harvey P. Dale_, Jun 04 2023 *)
%K A165179 nonn
%O A165179 0,2
%A A165179 _John Cannon_ and _N. J. A. Sloane_, Dec 03 2009