A162835 Number of reduced words of length n in Coxeter group on 31 generators S_i with relations (S_i)^2 = (S_i S_j)^3 = I.

1, 31, 930, 27435, 809100, 23854965, 703323660, 20736221625, 611369903490, 18025131836235, 531438294045150, 15668493442542015, 461957088012265560, 13619966204279779425, 401559980828963528040, 11839267130678720397885

Offset: 0

Author

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

Keywords

• nonn

Comments

The initial terms coincide with those of A170750, 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 (29, 29, -435).

Programs

Mathematica

coxG[{3,435,-29}] (* The coxG program is at A169452 *) (* Harvey P. Dale, Jan 18 2021 *)

Formula

G.f.: (t^3 + 2*t^2 + 2*t + 1)/(435*t^3 - 29*t^2 - 29*t + 1)