A098636 Consider the family of multigraphs enriched by the species of odd sets. Sequence gives number of those multigraphs with n labeled edges.

1, 1, 2, 10, 78, 885, 13487, 261848, 6255453, 179297990, 6046396379, 236175330388, 10549286540957, 533103416306743, 30203144498636380, 1903491404510540902, 132543022174482851436, 10136316177816553484295, 846893706267135762556915, 76941424170126460702604994

Offset

0,3

References

G. Paquin, Dénombrement de multigraphes enrichis, Mémoire, Math. Dept., Univ. Québec à Montréal, 2004.

Links

Andrew Howroyd, Table of n, a(n) for n = 0..200

G. Paquin, Dénombrement de multigraphes enrichis, Mémoire, Math. Dept., Univ. Québec à Montréal, 2004. [Cached copy, with permission]

Formula

E.g.f.: B(sinh(x)) where B(x) is the e.g.f. of A014500. - Andrew Howroyd, Jan 12 2021

Prog

(PARI) \\ EnrichedGnSeq defined in A098620.
EnrichedGnSeq(sinh(x + O(x*x^20))) \\ Andrew Howroyd, Jan 12 2021

Crossrefs

Cf. A014500, A098620, A098637, A098638, A098639.

Sequence in context: A301388 A052568 A063170 * A081363 A279908 A245903

Adjacent sequences: A098633 A098634 A098635 * A098637 A098638 A098639

Keyword

nonn

Author

N. J. A. Sloane, Oct 26 2004

Extensions

Terms a(12) and beyond from Andrew Howroyd, Jan 12 2021

Status

approved