A162919 Number of reduced words of length n in Coxeter group on 50 generators S_i with relations (S_i)^2 = (S_i S_j)^3 = I.

1, 50, 2450, 118825, 5762400, 279417600, 13548901800, 656982748800, 31856924131200, 1544734021723200, 74903753688422400, 3632063667308697600, 176117828998315276800, 8539908033612366028800, 414097934532557674291200

Offset: 0

Author

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

Keywords

• nonn

Comments

The initial terms coincide with those of A170769, 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 (48, 48, -1176).

Formula

G.f.: (t^3 + 2*t^2 + 2*t + 1)/(1176*t^3 - 48*t^2 - 48*t + 1)