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.

A164835 Number of reduced words of length n in Coxeter group on 14 generators S_i with relations (S_i)^2 = (S_i S_j)^8 = I.

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%I A164835 #11 Feb 23 2024 08:33:09
%S A164835 1,14,182,2366,30758,399854,5198102,67575326,878479147,11420227728,
%T A164835 148462945176,1930018088544,25090232567400,326172989788464,
%U A164835 4240248430609464,55123223921595648,716601837188495622
%N A164835 Number of reduced words of length n in Coxeter group on 14 generators S_i with relations (S_i)^2 = (S_i S_j)^8 = I.
%C A164835 The initial terms coincide with those of A170733, although the two sequences are eventually different.
%C A164835 Computed with MAGMA using commands similar to those used to compute A154638.
%H A164835 <a href="/index/Rec#order_08">Index entries for linear recurrences with constant coefficients</a>, signature (12, 12, 12, 12, 12, 12, 12, -78).
%F A164835 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)/(78*t^8 - 12*t^7 - 12*t^6 - 12*t^5 - 12*t^4 - 12*t^3 - 12*t^2 - 12*t + 1).
%t A164835 coxG[{8,78,-12}] (* The coxG program is at A169452 *) (* _Harvey P. Dale_, May 26 2017 *)
%K A164835 nonn
%O A164835 0,2
%A A164835 _John Cannon_ and _N. J. A. Sloane_, Dec 03 2009