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A165270
Number of reduced words of length n in Coxeter group on 14 generators S_i with relations (S_i)^2 = (S_i S_j)^9 = I.
0
1, 14, 182, 2366, 30758, 399854, 5198102, 67575326, 878479238, 11420230003, 148462988856, 1930018839840, 25090244719176, 326173178765616, 4240251290365272, 55123266338107968, 716602456719076200
OFFSET
0,2
COMMENTS
The initial terms coincide with those of A170733, although the two sequences are eventually different.
Computed with MAGMA using commands similar to those used to compute A154638.
FORMULA
G.f. (t^9 + 2*t^8 + 2*t^7 + 2*t^6 + 2*t^5 + 2*t^4 + 2*t^3 + 2*t^2 + 2*t +
1)/(78*t^9 - 12*t^8 - 12*t^7 - 12*t^6 - 12*t^5 - 12*t^4 - 12*t^3 -
12*t^2 - 12*t + 1)
CROSSREFS
Sequence in context: A163959 A164618 A164835 * A165874 A166379 A166568
KEYWORD
nonn
AUTHOR
John Cannon and N. J. A. Sloane, Dec 03 2009
STATUS
approved