A162850 Number of reduced words of length n in Coxeter group on 36 generators S_i with relations (S_i)^2 = (S_i S_j)^3 = I.

1, 36, 1260, 43470, 1499400, 51707880, 1783182870, 61494142500, 2120662873980, 73132344752670, 2522013244518600, 86973155625205080, 2999321996442766470, 103433437289822465700, 3566964788136020871180, 123008943076595227404270

Offset: 0

Author

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

Keywords

• nonn

Comments

The initial terms coincide with those of A170755, 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 (34, 34, -595).

Formula

G.f.: (t^3 + 2*t^2 + 2*t + 1)/(595*t^3 - 34*t^2 - 34*t + 1)