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A163216 Number of reduced words of length n in Coxeter group on 33 generators S_i with relations (S_i)^2 = (S_i S_j)^4 = I. 0
1, 33, 1056, 33792, 1080816, 34569216, 1105674768, 35364307968, 1131105025776, 36177678932736, 1157120181575952, 37009757234816256, 1183733679862288368, 37860973146888460800, 1210959282493490855952, 38731766829339020895744 (list; graph; refs; listen; history; text; internal format)
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.

FORMULA

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

CROSSREFS

Sequence in context: A101632 A159675 A162837 * A163567 A164049 A164669

Adjacent sequences:  A163213 A163214 A163215 * A163217 A163218 A163219

KEYWORD

nonn

AUTHOR

John Cannon (john(AT)maths.usyd.edu.au) and N. J. A. Sloane, Dec 03 2009

STATUS

approved

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Last modified May 21 18:02 EDT 2013. Contains 225504 sequences.