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A098624 Consider the family of multigraphs enriched by the species of derangements. Sequence gives number of those multigraphs with n labeled edges. 3
1, 0, 1, 2, 15, 84, 750, 6852, 79639, 1006184, 14875218, 241078100, 4392257716, 87279581232, 1905609327583, 45008114794874, 1150897256534370, 31580332783936416, 928535967078634497, 29090873853321687666, 969132936087009709174, 34198721664081728281400 (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 A014500 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.; EnrichedGnSeq defined in A098620.

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

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

CROSSREFS

Cf. A000166, A014500, A098620, A098625, A098626, A098627.

Sequence in context: A178750 A108475 A328007 * A116079 A153445 A208974

Adjacent sequences:  A098621 A098622 A098623 * A098625 A098626 A098627

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 June 20 13:01 EDT 2021. Contains 345164 sequences. (Running on oeis4.)