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.

A162835 Number of reduced words of length n in Coxeter group on 31 generators S_i with relations (S_i)^2 = (S_i S_j)^3 = I.

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%I A162835 #7 Jan 18 2021 17:28:37
%S A162835 1,31,930,27435,809100,23854965,703323660,20736221625,611369903490,
%T A162835 18025131836235,531438294045150,15668493442542015,461957088012265560,
%U A162835 13619966204279779425,401559980828963528040,11839267130678720397885
%N A162835 Number of reduced words of length n in Coxeter group on 31 generators S_i with relations (S_i)^2 = (S_i S_j)^3 = I.
%C A162835 The initial terms coincide with those of A170750, although the two sequences are eventually different.
%C A162835 Computed with MAGMA using commands similar to those used to compute A154638.
%H A162835 <a href="/index/Rec#order_03">Index entries for linear recurrences with constant coefficients</a>, signature (29, 29, -435).
%F A162835 G.f.: (t^3 + 2*t^2 + 2*t + 1)/(435*t^3 - 29*t^2 - 29*t + 1)
%t A162835 coxG[{3,435,-29}] (* The coxG program is at A169452 *) (* _Harvey P. Dale_, Jan 18 2021 *)
%K A162835 nonn
%O A162835 0,2
%A A162835 _John Cannon_ and _N. J. A. Sloane_, Dec 03 2009