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A098627 Consider the family of directed multigraphs enriched by the species of derangements. Sequence gives number of those multigraphs with n labeled arcs. 3
1, 0, 1, 2, 27, 164, 2335, 25458, 437241, 6965112, 145640817, 3057675290, 76814951587, 2003471245164, 59438049704943, 1855131250113498, 63937099992148785, 2327591284996635888, 91854272591000172321, 3828194864278619367474, 170846746588575658999147 (list; graph; refs; listen; history; text; internal format)
OFFSET

0,4

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(R(x)) where B(x) is the e.g.f. of A014505 and 1 + R(x) is the e.g.f. of A000166. - Andrew Howroyd, Jan 12 2021

PROG

(PARI) \\ R(n) is A000166 as e.g.f.; EnrichedGdSeq defined in A098623.

R(n)={exp(-x + O(x*x^n))/(1-x)}

EnrichedGdSeq(R(20)) \\ Andrew Howroyd, Jan 12 2021

CROSSREFS

Cf. A000166, A014505, A098623, A098624, A098625, A098626.

Sequence in context: A041801 A166942 A119351 * A263930 A051766 A058406

Adjacent sequences:  A098624 A098625 A098626 * A098628 A098629 A098630

KEYWORD

nonn

AUTHOR

N. J. A. Sloane, Oct 26 2004

EXTENSIONS

Terms a(14) and beyond from Andrew Howroyd, Jan 12 2021

STATUS

approved

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Last modified October 19 11:35 EDT 2021. Contains 348088 sequences. (Running on oeis4.)