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.

A162847 Number of reduced words of length n in Coxeter group on 35 generators S_i with relations (S_i)^2 = (S_i S_j)^3 = I.

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%I A162847 #9 Apr 20 2021 15:19:51
%S A162847 1,35,1190,39865,1335180,44708895,1497090210,50130334485,
%T A162847 1678623324840,56209003149915,1882168556020830,63024751767399345,
%U A162847 2110395119905763460,70666959205286686935,2366295806989839830490,79235839622172041773965
%N A162847 Number of reduced words of length n in Coxeter group on 35 generators S_i with relations (S_i)^2 = (S_i S_j)^3 = I.
%C A162847 The initial terms coincide with those of A170754, although the two sequences are eventually different.
%C A162847 Computed with MAGMA using commands similar to those used to compute A154638.
%H A162847 <a href="/index/Rec#order_03">Index entries for linear recurrences with constant coefficients</a>, signature (33, 33, -561).
%F A162847 G.f.: (t^3 + 2*t^2 + 2*t + 1)/(561*t^3 - 33*t^2 - 33*t + 1).
%F A162847 a(n) = 33*a(n-1) + 33*a(n-2) - 561*a(n-3). - _Wesley Ivan Hurt_, Apr 20 2021
%t A162847 coxG[{3,561,-33}] (* The coxG program is at A169452 *) (* _Harvey P. Dale_, Oct 05 2016 *)
%K A162847 nonn
%O A162847 0,2
%A A162847 _John Cannon_ and _N. J. A. Sloane_, Dec 03 2009