A162836 Number of reduced words of length n in Coxeter group on 32 generators S_i with relations (S_i)^2 = (S_i S_j)^3 = I.

1, 32, 992, 30256, 922560, 28123200, 857303760, 26133818400, 796656376800, 24285059607600, 740299253976000, 22567084192296000, 687928950670626000, 20970641892788820000, 639263431154365740000, 19487135229352795710000

Offset: 0

Author

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

Keywords

• nonn

Comments

The initial terms coincide with those of A170751, 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 (30, 30, -465).

Formula

G.f.: (t^3 + 2*t^2 + 2*t + 1)/(465*t^3 - 30*t^2 - 30*t + 1)