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.

A099710 Consider the family of directed multigraphs enriched by the species of endofunctions. Sequence gives number of those multigraphs with n labeled loops and arcs.

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%I A099710 #12 Jan 12 2021 21:32:11
%S A099710 1,2,21,372,9503,323528,13976119,740471952,46918236113,3486842393336,
%T A099710 299252510858253,29285226572514608,3233515108614711055,
%U A099710 399237909648934968160,54699907257463871118015,8261287679602024304387776,1367355850924129919137226337,246745297507913180076213875232
%N A099710 Consider the family of directed multigraphs enriched by the species of endofunctions. Sequence gives number of those multigraphs with n labeled loops and arcs.
%D A099710 G. Paquin, Dénombrement de multigraphes enrichis, Mémoire, Math. Dept., Univ. Québec à Montréal, 2004.
%H A099710 Andrew Howroyd, <a href="/A099710/b099710.txt">Table of n, a(n) for n = 0..100</a>
%H A099710 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 A099710 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 A000312. - _Andrew Howroyd_, Jan 12 2021
%o A099710 (PARI) \\ R(n) is A000312 as e.g.f.; EnrichedGdlSeq defined in A098622.
%o A099710 R(n)={1/(1 + lambertw(-x + O(x*x^n)))}
%o A099710 EnrichedGdlSeq(R(20)) \\ _Andrew Howroyd_, Jan 12 2021
%Y A099710 Cf. A000312, A014507, A098622, A099708, A099709, A099711.
%K A099710 nonn
%O A099710 0,2
%A A099710 _N. J. A. Sloane_, Oct 26 2004
%E A099710 Terms a(12) and beyond from _Andrew Howroyd_, Jan 12 2021