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A098628 Consider the family of multigraphs enriched by the species of parts. Sequence gives number of those multigraphs with n labeled edges. 3
1, 2, 12, 128, 2224, 56000, 1880832, 79985792, 4161468928, 258415579648, 18793653411840, 1576791247634432, 150745211441983488, 16253127712884269056, 1959064946185017851904, 262002352633857351942144, 38624060984664180255621120, 6240304185636529522872025088 (list; graph; refs; listen; history; text; internal format)
OFFSET

0,2

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..100

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 A000079. - Andrew Howroyd, Jan 12 2021

PROG

(PARI) \\ R(n) is A000079 as e.g.f.; EnrichedGnSeq defined in A098620.

R(n)={exp(2*x + O(x*x^n))}

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

CROSSREFS

Cf. A000079, A014500, A098620, A098629, A098630, A098631.

Sequence in context: A097629 A259267 A014235 * A123553 A079199 A303926

Adjacent sequences:  A098625 A098626 A098627 * A098629 A098630 A098631

KEYWORD

nonn

AUTHOR

N. J. A. Sloane, Oct 26 2004

EXTENSIONS

Terms a(11) and beyond from Andrew Howroyd, Jan 12 2021

STATUS

approved

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Last modified October 17 06:07 EDT 2021. Contains 348048 sequences. (Running on oeis4.)