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.

A099708 Consider the family of multigraphs enriched by the species of endofunctions. Sequence gives number of those multigraphs with n labeled edges.

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%I A099708 #13 Jan 12 2021 20:48:11
%S A099708 1,1,6,60,854,16029,378871,10926690,375538541,15097900582,
%T A099708 699359781567,36859422340308,2187121403805853,144804645827958839,
%U A099708 10615679263174481480,856040905847508506792,75495130803739278866508,7244702305184037575057831,753093536414613689614872227
%N A099708 Consider the family of multigraphs enriched by the species of endofunctions. Sequence gives number of those multigraphs with n labeled edges.
%D A099708 G. Paquin, Dénombrement de multigraphes enrichis, Mémoire, Math. Dept., Univ. Québec à Montréal, 2004.
%H A099708 Andrew Howroyd, <a href="/A099708/b099708.txt">Table of n, a(n) for n = 0..100</a>
%H A099708 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 A099708 E.g.f.: B(R(x)) where B(x) is the e.g.f. of A014500 and 1 + R(x) is the e.g.f. of A000312. - _Andrew Howroyd_, Jan 12 2021
%o A099708 (PARI) \\ R(n) is A000312 as e.g.f.; EnrichedGnSeq defined in A098620.
%o A099708 R(n)={1/(1 + lambertw(-x + O(x*x^n)))}
%o A099708 EnrichedGnSeq(R(20)) \\ _Andrew Howroyd_, Jan 12 2021
%Y A099708 Cf. A000312, A014500, A098620, A099709, A099710, A099711.
%K A099708 nonn
%O A099708 0,3
%A A099708 _N. J. A. Sloane_, Oct 26 2004
%E A099708 Terms a(12) and beyond from _Andrew Howroyd_, Jan 12 2021