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A098638 Consider the family of multigraphs enriched by the species of odd sets. Sequence gives number of those multigraphs with n loops and arcs. 0
1, 2, 13, 164, 3127, 82600, 2845775, 122820136, 6446913953, 402413160952, 29343933156485, 235446319553848087 (list; graph; refs; listen; history; internal format)
OFFSET

0,2

REFERENCES

G. Paquin, D\'enombrement de multigraphes enrichis, M\'emoire, Math. Dept., Univ. Qu\'ebec \`a Montr\'eal, 2004.

FORMULA

E.g.f.: exp(-1)*sum((1+sinh(x))^(n^2)/n!,n = 0 .. infinity). - Vladeta Jovovic (vladeta(AT)eunet.rs), Mar 04 2008

CROSSREFS

Sequence in context: A014507 A132614 A187927 * A090643 A132521 A177448

Adjacent sequences:  A098635 A098636 A098637 * A098639 A098640 A098641

KEYWORD

nonn

AUTHOR

N. J. A. Sloane (njas(AT)research.att.com), Oct 26 2004

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Last modified February 16 09:56 EST 2012. Contains 205904 sequences.