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.

A165650 Number of reduced words of length n in Coxeter group on 35 generators S_i with relations (S_i)^2 = (S_i S_j)^9 = I.

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%I A165650 #8 Oct 14 2022 10:03:14
%S A165650 1,35,1190,40460,1375640,46771760,1590239840,54068154560,
%T A165650 1838317255040,62502786670765,2125094746785780,72253221390029295,
%U A165650 2456609527237630380,83524723925285000820,2839840613432679336480,96554580855792733932720
%N A165650 Number of reduced words of length n in Coxeter group on 35 generators S_i with relations (S_i)^2 = (S_i S_j)^9 = I.
%C A165650 The initial terms coincide with those of A170754, although the two sequences are eventually different.
%C A165650 Computed with MAGMA using commands similar to those used to compute A154638.
%H A165650 <a href="/index/Rec#order_09">Index entries for linear recurrences with constant coefficients</a>, signature (33, 33, 33, 33, 33, 33, 33, 33, -561).
%F A165650 G.f. (t^9 + 2*t^8 + 2*t^7 + 2*t^6 + 2*t^5 + 2*t^4 + 2*t^3 + 2*t^2 + 2*t +
%F A165650 1)/(561*t^9 - 33*t^8 - 33*t^7 - 33*t^6 - 33*t^5 - 33*t^4 - 33*t^3 -
%F A165650 33*t^2 - 33*t + 1)
%t A165650 coxG[{9,561,-33}] (* The coxG program is at A169452 *) (* _Harvey P. Dale_, Oct 14 2022 *)
%K A165650 nonn
%O A165650 0,2
%A A165650 _John Cannon_ and _N. J. A. Sloane_, Dec 03 2009