A162810 Number of reduced words of length n in Coxeter group on 24 generators S_i with relations (S_i)^2 = (S_i S_j)^3 = I.

1, 24, 552, 12420, 279312, 6278448, 141128460, 3172286040, 71306671656, 1602831568932, 36028452924816, 809847670933488, 18203758337942892, 409184133605301912, 9197642162005213224, 206744627643931781316

Offset: 0

Author

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

Keywords

• nonn

Comments

The initial terms coincide with those of A170743, 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 (22, 22, -253).

Formula

G.f.: (t^3 + 2*t^2 + 2*t + 1)/(253*t^3 - 22*t^2 - 22*t + 1)