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%I A099698 #9 Jan 12 2021 21:31:23
%S A099698 1,2,17,248,5403,160420,6142567,291996934,16759322733,1136940595762,
%T A099698 89641455771637,8102778995663368,830222723124364047,
%U A099698 95509354134959796556,12236166882713532940611,1733521075683722202738222,269910543278748394820341769,45936441912756036235229989058
%N A099698 Consider the family of directed multigraphs enriched by the species of involutions. Sequence gives number of those multigraphs with n labeled loops and arcs.
%H A099698 Andrew Howroyd, <a href="/A099698/b099698.txt">Table of n, a(n) for n = 0..100</a>
%H A099698 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 A099698 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 A000085. - _Andrew Howroyd_, Jan 12 2021
%o A099698 (PARI) \\ R(n) is A000085 as e.g.f.; EnrichedGdlSeq defined in A098622.
%o A099698 R(n)={exp(x+x^2/2 + O(x*x^n))}
%o A099698 EnrichedGdlSeq(R(20)) \\ _Andrew Howroyd_, Jan 12 2021
%Y A099698 Cf. A000085, A014507, A098622, A099696, A099697, A099699.
%K A099698 nonn
%O A099698 0,2
%A A099698 _N. J. A. Sloane_, Jun 25 2017
%E A099698 Dead sequence restored, corrected and extended by _Andrew Howroyd_, Jan 12 2021

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