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A163226 Number of reduced words of length n in Coxeter group on 43 generators S_i with relations (S_i)^2 = (S_i S_j)^4 = I. 0
1, 43, 1806, 75852, 3184881, 133727076, 5614945203, 235760834988, 9899147615406, 415646320207041, 17452195907135052, 732784406294332791, 30768219023291805678, 1291898809163525952060, 54244365975641552431917 (list; graph; refs; listen; history; internal format)
OFFSET

0,2

COMMENTS

The initial terms coincide with those of A170762, although the two sequences are eventually different.

Computed with MAGMA using commands similar to those used to compute A154638.

FORMULA

G.f.: (t^4 + 2*t^3 + 2*t^2 + 2*t + 1)/(861*t^4 - 41*t^3 - 41*t^2 - 41*t + 1)

CROSSREFS

Sequence in context: A022220 A198206 A162881 * A163745 A164113 A164687

Adjacent sequences:  A163223 A163224 A163225 * A163227 A163228 A163229

KEYWORD

nonn

AUTHOR

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

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Last modified February 15 19:02 EST 2012. Contains 205852 sequences.