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.

1, 26, 650, 15925, 390000, 9547200, 233715300, 5721300000, 140056207200, 3428545582800, 83930052960000, 2054589502867200, 50295905665012800, 1231232868141120000, 30140313720487027200, 737828346427571692800

Offset: 0

Author

John Cannon and N. J. A. Sloane, Dec 03 2009

Keywords

• nonn

Comments

The initial terms coincide with those of A170745, although the two sequences are eventually different.

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

Links

• Index entries for linear recurrences with constant coefficients, signature (24, 24, -300).

Formula

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