

A162847


Number of reduced words of length n in Coxeter group on 35 generators S_i with relations (S_i)^2 = (S_i S_j)^3 = I.


0



1, 35, 1190, 39865, 1335180, 44708895, 1497090210, 50130334485, 1678623324840, 56209003149915, 1882168556020830, 63024751767399345, 2110395119905763460, 70666959205286686935, 2366295806989839830490, 79235839622172041773965
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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.


LINKS

Table of n, a(n) for n=0..15.
Index entries for linear recurrences with constant coefficients, signature (33, 33, 561).


FORMULA

G.f.: (t^3 + 2*t^2 + 2*t + 1)/(561*t^3  33*t^2  33*t + 1)


MATHEMATICA

coxG[{3, 561, 33}] (* The coxG program is at A169452 *) (* Harvey P. Dale, Oct 05 2016 *)


CROSSREFS

Sequence in context: A115492 A187538 A046176 * A029546 A163218 A163600
Adjacent sequences: A162844 A162845 A162846 * A162848 A162849 A162850


KEYWORD

nonn


AUTHOR

John Cannon and N. J. A. Sloane, Dec 03 2009


STATUS

approved



