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 A099706 Consider the family of directed multigraphs enriched by the species of directed graphs. Sequence gives number of those multigraphs with n labeled loops and arcs. 2
 1, 4, 84, 3568, 305712, 87782720, 144600947392, 1139235294403328, 37012349010095737088, 4840037457225169875031040, 2535930555678883610642223895552, 5317274645187046706095607711946092544, 44602319906972740832371696997145322907873280 (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 A014507 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.; EnrichedGdlSeq defined in A098622. R(n)={sum(k=0, n, 2^(k^2)*x^k/k!) + O(x*x^n)} EnrichedGdlSeq(R(15)) \\ Andrew Howroyd, Jan 12 2021 CROSSREFS Cf. A002416, A014507, A098622, A099704, A099705, A099707. Sequence in context: A156477 A024259 A024260 * A012065 A012139 A012037 Adjacent sequences:  A099703 A099704 A099705 * A099707 A099708 A099709 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 26 20:51 EDT 2022. Contains 354092 sequences. (Running on oeis4.)