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.

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.

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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