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A165366
Number of reduced words of length n in Coxeter group on 24 generators S_i with relations (S_i)^2 = (S_i S_j)^9 = I.
0
1, 24, 552, 12696, 292008, 6716184, 154472232, 3552861336, 81715810728, 1879463646468, 43227663862416, 994236268689840, 22867434176514576, 525950985982745136, 12096872675830065552, 278228071503310838448
OFFSET
0,2
COMMENTS
The initial terms coincide with those of A170743, 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)/(253*t^9 - 22*t^8 - 22*t^7 - 22*t^6 - 22*t^5 - 22*t^4 - 22*t^3 -
22*t^2 - 22*t + 1)
CROSSREFS
Sequence in context: A163992 A164637 A164959 * A165965 A166418 A166611
KEYWORD
nonn
AUTHOR
John Cannon and N. J. A. Sloane, Dec 03 2009
STATUS
approved