

A164049


Number of reduced words of length n in Coxeter group on 33 generators S_i with relations (S_i)^2 = (S_i S_j)^6 = I.


0



1, 33, 1056, 33792, 1081344, 34603008, 1107295728, 35433446400, 1133869744656, 36283814544384, 1161081512312832, 37154590694572032, 1188946335844548336, 38046264622817975040, 1217479887955809181968, 38959337855415022281984
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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.


LINKS

Table of n, a(n) for n=0..15.
Index entries for linear recurrences with constant coefficients, signature (31, 31, 31, 31, 31, 496).


FORMULA

G.f. (t^6 + 2*t^5 + 2*t^4 + 2*t^3 + 2*t^2 + 2*t + 1)/(496*t^6  31*t^5  31*t^4 
31*t^3  31*t^2  31*t + 1)


CROSSREFS

Sequence in context: A162837 A163216 A163567 * A164669 A165140 A165645
Adjacent sequences: A164046 A164047 A164048 * A164050 A164051 A164052


KEYWORD

nonn


AUTHOR

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


STATUS

approved



