A162914 Number of reduced words of length n in Coxeter group on 49 generators S_i with relations (S_i)^2 = (S_i S_j)^3 = I.

1, 49, 2352, 111720, 5306112, 251985048, 11966664360, 568291227840, 26987881799256, 1281641734875432, 60864559478706816, 2890429126368804888, 137265111357893562792, 6518655179668349992512, 309567849623689435185624

Offset: 0

Author

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

Keywords

• nonn

Comments

The initial terms coincide with those of A170768, 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 (47, 47, -1128).

Formula

G.f.: (t^3 + 2*t^2 + 2*t + 1)/(1128*t^3 - 47*t^2 - 47*t + 1)