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A163593 Number of reduced words of length n in Coxeter group on 34 generators S_i with relations (S_i)^2 = (S_i S_j)^5 = I. 0
1, 34, 1122, 37026, 1221858, 40320753, 1330566336, 43908078720, 1448946455616, 47814568344576, 1577858820890352, 52068617261591040, 1718240483647446528, 56701147733816154624, 1871111864101388705280, 61745833160498214613248 (list; graph; refs; listen; history; text; internal format)
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.

LINKS

Table of n, a(n) for n=0..15.

FORMULA

G.f. (t^5 + 2*t^4 + 2*t^3 + 2*t^2 + 2*t + 1)/(528*t^5 - 32*t^4 - 32*t^3 - 32*t^2

- 32*t + 1)

CROSSREFS

Sequence in context: A214241 A162838 A163217 * A164050 A164670 A165166

Adjacent sequences:  A163590 A163591 A163592 * A163594 A163595 A163596

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 June 19 08:51 EDT 2013. Contains 226401 sequences.