A098639 Consider the family of directed multigraphs enriched by the species of odd sets. Sequence gives number of those multigraphs with n labeled arcs.

1, 1, 6, 69, 1230, 30663, 1005692, 41571127, 2099861244, 126607647073, 8945129371976, 729628409684925, 67868881258920424, 7125522244948969319, 837004398237510194704, 109173596976047915341823, 15708090522743045757716496, 2478722722731315203268137729

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 A014505. - Andrew Howroyd, Jan 12 2021

Prog

(PARI) \\ EnrichedGdSeq defined in A098623.
EnrichedGdSeq(sinh(x + O(x*x^20))) \\ Andrew Howroyd, Jan 12 2021

Crossrefs

Cf. A014505, A098623, A098636, A098637, A098638.

Sequence in context: A349556 A364982 A376123 * A305110 A235328 A296783

Adjacent sequences: A098636 A098637 A098638 * A098640 A098641 A098642

Keyword

nonn

Author

N. J. A. Sloane, Oct 26 2004

Extensions

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

Status

approved