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A099716 Consider the family of multigraphs enriched by the species of trees. Sequence gives number of those multigraphs with n labeled edges. 2
1, 1, 3, 18, 170, 2244, 38686, 834594, 21874433, 681399298, 24797467947, 1039645748808, 49632586028650, 2671404673776080, 160726892084432840, 10729582290405547592, 789572236551678855603, 63682341168165082629698, 5600777517339868668401105 (list; graph; refs; listen; history; text; internal format)
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..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 A000272. - Andrew Howroyd, Jan 12 2021

PROG

(PARI) \\ R(n) is A000272 as e.g.f.; EnrichedGnSeq defined in A098620.

R(n)={my(w=lambertw(-x + O(x*x^n))); 1 - w - w^2/2}

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

CROSSREFS

Cf. A000272, A014500, A098620, A099717, A099718, A099719.

Sequence in context: A074932 A101483 A234302 * A113130 A289683 A193098

Adjacent sequences:  A099713 A099714 A099715 * A099717 A099718 A099719

KEYWORD

nonn

AUTHOR

N. J. A. Sloane, Oct 26 2004

EXTENSIONS

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

STATUS

approved

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Last modified January 20 18:38 EST 2022. Contains 350472 sequences. (Running on oeis4.)