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 A099704 Consider the family of multigraphs enriched by the species of directed graphs. Sequence gives number of those multigraphs with n labeled edges. 2
 1, 2, 24, 776, 79840, 35397440, 69619053504, 564929183555840, 18464894708236907776, 2418517115222622481308160, 1267747370909677813160722947072, 2658511777246500251150215101758228480, 22300872810108738542496498718468714032205824 (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..50 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 A002416. - Andrew Howroyd, Jan 12 2021 PROG (PARI) \\ R(n) is A002416 as e.g.f.; EnrichedGnSeq defined in A098620. R(n)={sum(k=0, n, 2^(k^2)*x^k/k!) + O(x*x^n)} EnrichedGnSeq(R(15)) \\ Andrew Howroyd, Jan 12 2021 CROSSREFS Cf. A002416, A014500, A098620, A099705, A099706, A099707. Sequence in context: A274634 A292694 A012128 * A265879 A339946 A172492 Adjacent sequences: A099701 A099702 A099703 * A099705 A099706 A099707 KEYWORD nonn AUTHOR N. J. A. Sloane, Oct 26 2004 EXTENSIONS Terms a(10) and beyond from Andrew Howroyd, Jan 12 2021 STATUS approved

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Last modified May 29 00:29 EDT 2024. Contains 372921 sequences. (Running on oeis4.)