login
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.
0
1, 36, 1260, 43470, 1499400, 51707880, 1783182870, 61494142500, 2120662873980, 73132344752670, 2522013244518600, 86973155625205080, 2999321996442766470, 103433437289822465700, 3566964788136020871180, 123008943076595227404270
OFFSET
0,2
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.
FORMULA
G.f.: (t^3 + 2*t^2 + 2*t + 1)/(595*t^3 - 34*t^2 - 34*t + 1)
CROSSREFS
Sequence in context: A064196 A060786 A270961 * A163219 A163601 A164069
KEYWORD
nonn
AUTHOR
John Cannon and N. J. A. Sloane, Dec 03 2009
STATUS
approved