A165131 - OEIS

%I #8 Apr 03 2023 09:10:58

%S 1,32,992,30752,953312,29552672,916132832,28400117792,880403651056,

%T 27292513167360,846067907712000,26228105124311040,813071258396052480,

%U 25205208996092344320,781361478439118914560,24222205817980629811200

%N Number of reduced words of length n in Coxeter group on 32 generators S_i with relations (S_i)^2 = (S_i S_j)^8 = I.

%C The initial terms coincide with those of A170751, although the two sequences are eventually different.

%C Computed with MAGMA using commands similar to those used to compute A154638.

%H <a href="/index/Rec#order_08">Index entries for linear recurrences with constant coefficients</a>, signature (30, 30, 30, 30, 30, 30, 30, -465).

%F 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)/(465*t^8 -

%F 30*t^7 - 30*t^6 - 30*t^5 - 30*t^4 - 30*t^3 - 30*t^2 - 30*t + 1)

%t coxG[{8,465,-30}] (* The coxG program is at A169452 *) (* _Harvey P. Dale_, Apr 03 2023 *)

%K nonn

%O 0,2

%A _John Cannon_ and _N. J. A. Sloane_, Dec 03 2009