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A165650
Number of reduced words of length n in Coxeter group on 35 generators S_i with relations (S_i)^2 = (S_i S_j)^9 = I.
0
1, 35, 1190, 40460, 1375640, 46771760, 1590239840, 54068154560, 1838317255040, 62502786670765, 2125094746785780, 72253221390029295, 2456609527237630380, 83524723925285000820, 2839840613432679336480, 96554580855792733932720
OFFSET
0,2
COMMENTS
The initial terms coincide with those of A170754, 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)/(561*t^9 - 33*t^8 - 33*t^7 - 33*t^6 - 33*t^5 - 33*t^4 - 33*t^3 -
33*t^2 - 33*t + 1)
MATHEMATICA
coxG[{9, 561, -33}] (* The coxG program is at A169452 *) (* Harvey P. Dale, Oct 14 2022 *)
CROSSREFS
Sequence in context: A164068 A164671 A165167 * A166145 A166429 A166683
KEYWORD
nonn
AUTHOR
John Cannon and N. J. A. Sloane, Dec 03 2009
STATUS
approved