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A165140
Number of reduced words of length n in Coxeter group on 33 generators S_i with relations (S_i)^2 = (S_i S_j)^8 = I.
0
1, 33, 1056, 33792, 1081344, 34603008, 1107296256, 35433480192, 1133871365616, 36283883682816, 1161084277309968, 37154696856634368, 1188950298859192320, 38046409545794715648, 1217485104899048865792, 38959523338645338587136
OFFSET
0,2
COMMENTS
The initial terms coincide with those of A170752, 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)/(496*t^8 -
31*t^7 - 31*t^6 - 31*t^5 - 31*t^4 - 31*t^3 - 31*t^2 - 31*t + 1)
CROSSREFS
Sequence in context: A163567 A164049 A164669 * A165645 A166129 A166427
KEYWORD
nonn
AUTHOR
John Cannon and N. J. A. Sloane, Dec 03 2009
STATUS
approved