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 A099712 Consider the family of multigraphs enriched by the species of arborescences. Sequence gives number of those multigraphs with n labeled edges. 2
 1, 1, 4, 30, 338, 5169, 101251, 2446806, 71043973, 2429762734, 96364601877, 4375603494478, 225044659552381, 12990629618136191, 834981228656630494, 59346659738963806022, 4635924974380060251228, 395864230878802130389079, 36773114396103232927777067 (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 R(x) is the e.g.f. of A000169. - Andrew Howroyd, Jan 12 2021 PROG (PARI) \\ R(n) is A000169 as e.g.f.; EnrichedGnSeq defined in A098620. R(n)={-lambertw(-x + O(x*x^n))} EnrichedGnSeq(R(20)) \\ Andrew Howroyd, Jan 12 2021 CROSSREFS Cf. A000169, A014500, A098620, A099713, A099714, A099715. Sequence in context: A121413 A001761 A292220 * A209440 A052316 A089918 Adjacent sequences: A099709 A099710 A099711 * A099713 A099714 A099715 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 June 9 15:05 EDT 2023. Contains 363181 sequences. (Running on oeis4.)