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A031164 Irreducible Euler sums of weight 8 and depth 10+2n. +0
2
1, 4, 15, 40, 99, 212, 429, 800, 1430, 2424, 3978, 6288, 9690, 14520, 21318, 30624, 43263, 60060, 82225, 110968, 148005, 195052, 254475, 328640, 420732, 533936, 672452, 840480, 1043460, 1286832, 1577532, 1922496, 2330445 (list; graph; listen)
OFFSET

0,2

COMMENT

a(n-9)=number of aperiodic necklaces (Lyndon words) with 8 black beads and n-8 white beads.

LINKS

D. J. Broadhurst, On the enumeration of irreducible k-fold Euler sums and their roles in knot theory and field theory

Index entries for sequences related to Lyndon words

FORMULA

G.f.: (1+x^2)/((1-x)*(1-x^2))^4

CROSSREFS

Cf. A000031, A001037, A051168.

Adjacent sequences: A031161 A031162 A031163 this_sequence A031165 A031166 A031167

Sequence in context: A062486 A053698 A059140 this_sequence A116600 A074033 A093920

KEYWORD

nonn,easy

AUTHOR

David Broadhurst (D.Broadhurst(AT)open.ac.uk)

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Last modified October 7 14:39 EDT 2008. Contains 144666 sequences.


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