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.

A099712 Consider the family of multigraphs enriched by the species of arborescences. Sequence gives number of those multigraphs with n labeled edges.

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%I A099712 #12 Jan 12 2021 20:54:01
%S A099712 1,1,4,30,338,5169,101251,2446806,71043973,2429762734,96364601877,
%T A099712 4375603494478,225044659552381,12990629618136191,834981228656630494,
%U A099712 59346659738963806022,4635924974380060251228,395864230878802130389079,36773114396103232927777067
%N A099712 Consider the family of multigraphs enriched by the species of arborescences. Sequence gives number of those multigraphs with n labeled edges.
%D A099712 G. Paquin, Dénombrement de multigraphes enrichis, Mémoire, Math. Dept., Univ. Québec à Montréal, 2004.
%H A099712 Andrew Howroyd, <a href="/A099712/b099712.txt">Table of n, a(n) for n = 0..100</a>
%H A099712 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 A099712 E.g.f.: B(R(x)) where B(x) is the e.g.f. of A014500 and R(x) is the e.g.f. of A000169. - _Andrew Howroyd_, Jan 12 2021
%o A099712 (PARI) \\ R(n) is A000169 as e.g.f.; EnrichedGnSeq defined in A098620.
%o A099712 R(n)={-lambertw(-x + O(x*x^n))}
%o A099712 EnrichedGnSeq(R(20)) \\ _Andrew Howroyd_, Jan 12 2021
%Y A099712 Cf. A000169, A014500, A098620, A099713, A099714, A099715.
%K A099712 nonn
%O A099712 0,3
%A A099712 _N. J. A. Sloane_, Oct 26 2004
%E A099712 Terms a(12) and beyond from _Andrew Howroyd_, Jan 12 2021