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A162812 Number of reduced words of length n in Coxeter group on 26 generators S_i with relations (S_i)^2 = (S_i S_j)^3 = I. 0

%I #5 Nov 23 2016 15:27:32

%S 1,26,650,15925,390000,9547200,233715300,5721300000,140056207200,

%T 3428545582800,83930052960000,2054589502867200,50295905665012800,

%U 1231232868141120000,30140313720487027200,737828346427571692800

%N Number of reduced words of length n in Coxeter group on 26 generators S_i with relations (S_i)^2 = (S_i S_j)^3 = I.

%C The initial terms coincide with those of A170745, 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 (24, 24, -300).

%F G.f.: (t^3 + 2*t^2 + 2*t + 1)/(300*t^3 - 24*t^2 - 24*t + 1)

%K nonn

%O 0,2

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

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Last modified April 24 20:08 EDT 2024. Contains 371963 sequences. (Running on oeis4.)