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A162838 Number of reduced words of length n in Coxeter group on 34 generators S_i with relations (S_i)^2 = (S_i S_j)^3 = I. 0
1, 34, 1122, 36465, 1184832, 38489088, 1250311920, 40616040960, 1319401053696, 42860382335232, 1392307798818816, 45228738040578048, 1469243184987697152, 47727963019128471552, 1550429824846292189184, 50365288810019957047296 (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^3 + 2*t^2 + 2*t + 1)/(528*t^3 - 32*t^2 - 32*t + 1)

CROSSREFS

Sequence in context: A075292 A214190 A214241 * A163217 A163593 A164050

Adjacent sequences:  A162835 A162836 A162837 * A162839 A162840 A162841

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 19 01:49 EDT 2013. Contains 225428 sequences.