A162913 Number of reduced words of length n in Coxeter group on 48 generators S_i with relations (S_i)^2 = (S_i S_j)^3 = I.

1, 48, 2256, 104904, 4877472, 226750560, 10541488248, 490066437936, 22782847249104, 1059158680807752, 49239548471206560, 2289112271116376928, 106419233167075660536, 4947355938259459431984, 229999127520543810796752

Offset: 0

Author

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

Keywords

• nonn

Comments

The initial terms coincide with those of A170767, 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 (46, 46, -1081).

Programs

Mathematica

coxG[{3,1081,-46}] (* The coxG program is at A169452 *) (* or *) LinearRecurrence[{46,46,-1081},{1,48,2256,104904},30] (* Harvey P. Dale, Dec 30 2017 *)

Formula

G.f.: (t^3 + 2*t^2 + 2*t + 1)/(1081*t^3 - 46*t^2 - 46*t + 1)