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A098634 Consider the family of multigraphs enriched by the species of even sets. Sequence gives number of those multigraphs with 2n loops and arcs. +0
1
1, 2, 41, 2627, 357716, 86570987, 33355085381, 19002804068432, 15177169622020811, 16322141415741150887, 22901431199026692596006, 40870032497467496395428677, 90848469347406506760349066541, 247166310906569012786184536033402, 810867121877912775078998948740650941 (list; graph; listen)
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(cosh(x)^(n^2)/n!,n = 0 .. infinity). - Vladeta Jovovic (vladeta(AT)Eunet.yu), Mar 04 2008

CROSSREFS

Adjacent sequences: A098631 A098632 A098633 this_sequence A098635 A098636 A098637

Sequence in context: A133298 A054742 A113634 this_sequence A076391 A130201 A076392

KEYWORD

nonn

AUTHOR

njas, Oct 26 2004

EXTENSIONS

More terms from Vladeta Jovovic (vladeta(AT)Eunet.yu), Mar 04 2008

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Last modified October 13 09:05 EDT 2008. Contains 145008 sequences.


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