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%I #7 Oct 20 2023 17:36:12
%S 1,30,870,24795,706440,20121360,573111630,16323709080,464941707720,
%T 13242748348620,377187895691040,10743291699776160,305996872843541880,
%U 8715586321562342880,248242553013255652320,7070593171000425862320
%N Number of reduced words of length n in Coxeter group on 30 generators S_i with relations (S_i)^2 = (S_i S_j)^3 = I.
%C The initial terms coincide with those of A170749, 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_03">Index entries for linear recurrences with constant coefficients</a>, signature (28, 28, -406).
%F G.f.: (t^3 + 2*t^2 + 2*t + 1)/(406*t^3 - 28*t^2 - 28*t + 1)
%t coxG[{3,406,-28}] (* The coxG program is at A169452 *) (* _Harvey P. Dale_, Oct 20 2023 *)
%K nonn
%O 0,2
%A _John Cannon_ and _N. J. A. Sloane_, Dec 03 2009