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A165166
Number of reduced words of length n in Coxeter group on 34 generators S_i with relations (S_i)^2 = (S_i S_j)^8 = I.
0
1, 34, 1122, 37026, 1221858, 40321314, 1330603362, 43909910946, 1449027060657, 47817892983168, 1577990467834176, 52073685418385664, 1718431618142036160, 56708243376752398464, 1871372030708980920384, 61755276989509378818048
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^8 + 2*t^7 + 2*t^6 + 2*t^5 + 2*t^4 + 2*t^3 + 2*t^2 + 2*t + 1)/(528*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[{8, 528, -32}] (* The coxG program is at A169452 *) (* Harvey P. Dale, Apr 15 2024 *)
CROSSREFS
Sequence in context: A163593 A164050 A164670 * A165649 A166130 A166428
KEYWORD
nonn
AUTHOR
John Cannon and N. J. A. Sloane, Dec 03 2009
STATUS
approved