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.

A099692 Consider the family of multigraphs enriched by the species of directed sets. Sequence gives number of those multigraphs with n labeled edges.

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%I A099692 #13 Jan 12 2021 19:51:12
%S A099692 1,1,4,23,220,3016,55011,1265824,35496711,1183686987,46072834777,
%T A099692 2062557088117,104926356851165,6004962409831577,383331023991407286,
%U A099692 27094756978689827593,2107021273883402908850,179261681391054814324774,16602830645109035036038335
%N A099692 Consider the family of multigraphs enriched by the species of directed sets. Sequence gives number of those multigraphs with n labeled edges.
%D A099692 G. Paquin, Dénombrement de multigraphes enrichis, Mémoire, Math. Dept., Univ. Québec à Montréal, 2004.
%H A099692 Andrew Howroyd, <a href="/A099692/b099692.txt">Table of n, a(n) for n = 0..100</a>
%H A099692 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 A099692 E.g.f.: B(2*exp(x) - x - 2) where B(x) is the e.g.f. of A014500. - _Andrew Howroyd_, Jan 12 2021
%o A099692 (PARI) \\ R(n) is e.g.f. of 1,1,2,2,2,2,...; EnrichedGnSeq defined in A098620.
%o A099692 R(n)={2*exp(x + O(x*x^n)) - x - 1}
%o A099692 EnrichedGnSeq(R(20)) \\ _Andrew Howroyd_, Jan 12 2021
%Y A099692 Cf. A000110, A014500, A098620, A099693, A099694, A099695.
%K A099692 nonn
%O A099692 0,3
%A A099692 _N. J. A. Sloane_, Oct 26 2004
%E A099692 Terms a(11) and beyond from _Andrew Howroyd_, Jan 12 2021