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A165131
Number of reduced words of length n in Coxeter group on 32 generators S_i with relations (S_i)^2 = (S_i S_j)^8 = I.
0
1, 32, 992, 30752, 953312, 29552672, 916132832, 28400117792, 880403651056, 27292513167360, 846067907712000, 26228105124311040, 813071258396052480, 25205208996092344320, 781361478439118914560, 24222205817980629811200
OFFSET
0,2
COMMENTS
The initial terms coincide with those of A170751, 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)/(465*t^8 -
30*t^7 - 30*t^6 - 30*t^5 - 30*t^4 - 30*t^3 - 30*t^2 - 30*t + 1)
MATHEMATICA
coxG[{8, 465, -30}] (* The coxG program is at A169452 *) (* Harvey P. Dale, Apr 03 2023 *)
CROSSREFS
Sequence in context: A163565 A164036 A164668 * A165548 A166128 A166426
KEYWORD
nonn
AUTHOR
John Cannon and N. J. A. Sloane, Dec 03 2009
STATUS
approved