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A164050 Number of reduced words of length n in Coxeter group on 34 generators S_i with relations (S_i)^2 = (S_i S_j)^6 = I. 0
1, 34, 1122, 37026, 1221858, 40321314, 1330602801, 43909873920, 1449025228992, 47817812414592, 1577987144990784, 52073553849901056, 1718426553198820080, 56708052368589946368, 1871364939893753424384, 61755017003604231740928 (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.

Index entries for linear recurrences with constant coefficients, signature (32, 32, 32, 32, 32, -528).

FORMULA

G.f. (t^6 + 2*t^5 + 2*t^4 + 2*t^3 + 2*t^2 + 2*t + 1)/(528*t^6 - 32*t^5 - 32*t^4 -

32*t^3 - 32*t^2 - 32*t + 1)

CROSSREFS

Sequence in context: A162838 A163217 A163593 * A164670 A165166 A165649

Adjacent sequences:  A164047 A164048 A164049 * A164051 A164052 A164053

KEYWORD

nonn

AUTHOR

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

STATUS

approved

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Last modified June 27 19:44 EDT 2017. Contains 288790 sequences.