A162896 Number of reduced words of length n in Coxeter group on 47 generators S_i with relations (S_i)^2 = (S_i S_j)^3 = I.

1, 47, 2162, 98371, 4475340, 203579325, 9260645940, 421258160025, 19162641667050, 871690723670475, 39652399244562750, 1803750714445098375, 82050940217035809000, 3732420858698518385625, 169784348961749261940000

Offset: 0

Author

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

Keywords

• nonn

Comments

The initial terms coincide with those of A170766, 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 (45, 45, -1035).

Formula

G.f.: (t^3 + 2*t^2 + 2*t + 1)/(1035*t^3 - 45*t^2 - 45*t + 1)