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A164084 Number of reduced words of length n in Coxeter group on 39 generators S_i with relations (S_i)^2 = (S_i S_j)^6 = I. 0
1, 39, 1482, 56316, 2140008, 81320304, 3090170811, 117426462660, 4462204511817, 169563730817052, 6443420227032204, 244849909954624416, 9304294348717501380, 353563100528072764173, 13435394600586229543974 (list; graph; refs; listen; history; text; internal format)
OFFSET

0,2

COMMENTS

The initial terms coincide with those of A170758, 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 (37, 37, 37, 37, 37, -703).

FORMULA

G.f. (t^6 + 2*t^5 + 2*t^4 + 2*t^3 + 2*t^2 + 2*t + 1)/(703*t^6 - 37*t^5 - 37*t^4 -

37*t^3 - 37*t^2 - 37*t + 1)

CROSSREFS

Sequence in context: A162871 A163222 A163668 * A164681 A165171 A165688

Adjacent sequences:  A164081 A164082 A164083 * A164085 A164086 A164087

KEYWORD

nonn

AUTHOR

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

STATUS

approved

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Last modified September 20 16:05 EDT 2020. Contains 337265 sequences. (Running on oeis4.)