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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.

Index entries for linear recurrences with constant coefficients, signature (45, 45, -1035).

FORMULA

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

CROSSREFS

Sequence in context: A324433 A289984 A189173 * A163265 A163803 A164332

Adjacent sequences:  A162893 A162894 A162895 * A162897 A162898 A162899

KEYWORD

nonn

AUTHOR

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

STATUS

approved

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Last modified January 26 13:09 EST 2022. Contains 350598 sequences. (Running on oeis4.)