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%I A099694 #12 Jan 12 2021 21:30:51
%S A099694 1,2,17,244,5283,156092,5954547,282221828,16159327961,1094056231572,
%T A099694 86116276633357,7773114989571400,795480206815177651,
%U A099694 91417037615848058160,11701283925663217478843,1656436690705751478232180,257730676653629520748175377,43837005194184348815823808500
%N A099694 Consider the family of directed multigraphs enriched by the species of directed sets. Sequence gives number of those multigraphs with n labeled loops and arcs.
%D A099694 G. Paquin, Dénombrement de multigraphes enrichis, Mémoire, Math. Dept., Univ. Québec à Montréal, 2004.
%H A099694 Andrew Howroyd, <a href="/A099694/b099694.txt">Table of n, a(n) for n = 0..100</a>
%H A099694 G. Paquin, <a href="/A038205/a038205.pdf">Dénombrement de multigraphes enrichis</a>, Mémoire, Math. Dept., Univ. Québec à Montréal, 2004. [Cached copy, with permission]
%F A099694 E.g.f.: B(2*exp(x) - x - 2) where B(x) is the e.g.f. of A014507. - _Andrew Howroyd_, Jan 12 2021
%o A099694 (PARI) \\ R(n) is e.g.f. of 1, 1, 2, 2, 2, ...; EnrichedGdlSeq defined in A098622.
%o A099694 R(n)={2*exp(x + O(x*x^n)) - x - 1}
%o A099694 EnrichedGdlSeq(R(20)) \\ _Andrew Howroyd_, Jan 12 2021
%Y A099694 Cf. A014507, A098622, A099692, A099693, A099695.
%K A099694 nonn
%O A099694 0,2
%A A099694 _N. J. A. Sloane_, Oct 26 2004
%E A099694 Terms a(11) and beyond from _Andrew Howroyd_, Jan 12 2021

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