cp's OEIS Frontend

This is a front-end for the Online Encyclopedia of Integer Sequences, made by Christian Perfect. The idea is to provide OEIS entries in non-ancient HTML, and then to think about how they're presented visually. The source code is on GitHub.

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.

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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