|
%I #8 Mar 20 2023 08:31:28
%S 1,24,552,12696,292008,6716184,154472232,3552861336,81715810452,
%T 1879463634048,43227663437376,994236255707904,22867433804191680,
%U 525950975723336064,12096872400856060224,278228064281733992448
%N Number of reduced words of length n in Coxeter group on 24 generators S_i with relations (S_i)^2 = (S_i S_j)^8 = I.
%C The initial terms coincide with those of A170743, 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 (22, 22, 22, 22, 22, 22, 22, -253).
%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)/(253*t^8 -
%F 22*t^7 - 22*t^6 - 22*t^5 - 22*t^4 - 22*t^3 - 22*t^2 - 22*t + 1)
%t coxG[{8,253,-22}] (* The coxG program is at A169452 *) (* _Harvey P. Dale_, Mar 20 2023 *)
%K nonn
%O 0,2
%A _John Cannon_ and _N. J. A. Sloane_, Dec 03 2009
|
