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A162896
Number of reduced words of length n in Coxeter group on 47 generators S_i with relations (S_i)^2 = (S_i S_j)^3 = I.
0
1, 47, 2162, 98371, 4475340, 203579325, 9260645940, 421258160025, 19162641667050, 871690723670475, 39652399244562750, 1803750714445098375, 82050940217035809000, 3732420858698518385625, 169784348961749261940000
OFFSET
0,2
COMMENTS
The initial terms coincide with those of A170766, 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)/(1035*t^3 - 45*t^2 - 45*t + 1)
CROSSREFS
Sequence in context: A324433 A289984 A189173 * A163265 A163803 A164332
KEYWORD
nonn
AUTHOR
John Cannon and N. J. A. Sloane, Dec 03 2009
STATUS
approved