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A165649
Number of reduced words of length n in Coxeter group on 34 generators S_i with relations (S_i)^2 = (S_i S_j)^9 = I.
0
1, 34, 1122, 37026, 1221858, 40321314, 1330603362, 43909910946, 1449027061218, 47817893019633, 1577990469629376, 52073685497159040, 1718431621386106176, 56708243505076813056, 1871372035645600036032, 61755277175580952960128
OFFSET
0,2
COMMENTS
The initial terms coincide with those of A170753, 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)/(528*t^9 - 32*t^8 - 32*t^7 - 32*t^6 - 32*t^5 - 32*t^4 - 32*t^3 -
32*t^2 - 32*t + 1)
MATHEMATICA
coxG[{9, 528, -32}] (* The coxG program is at A169452 *) (* Harvey P. Dale, Sep 24 2022 *)
CROSSREFS
Sequence in context: A164050 A164670 A165166 * A166130 A166428 A166682
KEYWORD
nonn
AUTHOR
John Cannon and N. J. A. Sloane, Dec 03 2009
STATUS
approved