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A162838
Number of reduced words of length n in Coxeter group on 34 generators S_i with relations (S_i)^2 = (S_i S_j)^3 = I.
0
1, 34, 1122, 36465, 1184832, 38489088, 1250311920, 40616040960, 1319401053696, 42860382335232, 1392307798818816, 45228738040578048, 1469243184987697152, 47727963019128471552, 1550429824846292189184, 50365288810019957047296
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^3 + 2*t^2 + 2*t + 1)/(528*t^3 - 32*t^2 - 32*t + 1)
MATHEMATICA
coxG[{3, 528, -32}] (* The coxG program is at A169452 *) (* Harvey P. Dale, Oct 20 2015 *)
CROSSREFS
Sequence in context: A296724 A214190 A214241 * A163217 A163593 A164050
KEYWORD
nonn
AUTHOR
John Cannon and N. J. A. Sloane, Dec 03 2009
STATUS
approved