A162837 Number of reduced words of length n in Coxeter group on 33 generators S_i with relations (S_i)^2 = (S_i S_j)^3 = I.

1, 33, 1056, 33264, 1047552, 32981520, 1038402288, 32693312256, 1029324316944, 32407498970352, 1020325639027200, 32124182416719888, 1011405630238865136, 31843342675365644544, 1002563602995046735632, 31564958123184306678000

Offset: 0

Author

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

Keywords

• nonn

Comments

The initial terms coincide with those of A170752, 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 (31, 31, -496).

Programs

Mathematica

coxG[{3,496,-31}] (* The coxG program is at A169452 *) (* Harvey P. Dale, Feb 06 2022 *)

Formula

G.f.: (t^3 + 2*t^2 + 2*t + 1)/(496*t^3 - 31*t^2 - 31*t + 1)