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A162896 Number of reduced words of length n in Coxeter group on 47 generators S_i with relations (S_i)^2 = (S_i S_j)^3 = I. 0
1, 47, 2162, 98371, 4475340, 203579325, 9260645940, 421258160025, 19162641667050, 871690723670475, 39652399244562750, 1803750714445098375, 82050940217035809000, 3732420858698518385625, 169784348961749261940000 (list; graph; refs; listen; history; text; internal format)
OFFSET

0,2

COMMENTS

The initial terms coincide with those of A170766, 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..14.

FORMULA

G.f.: (t^3 + 2*t^2 + 2*t + 1)/(1035*t^3 - 45*t^2 - 45*t + 1)

CROSSREFS

Sequence in context: A202128 A014941 A189173 * A163265 A163803 A164332

Adjacent sequences:  A162893 A162894 A162895 * A162897 A162898 A162899

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 23 17:52 EDT 2013. Contains 225611 sequences.