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.

A099704 Consider the family of multigraphs enriched by the species of directed graphs. Sequence gives number of those multigraphs with n labeled edges.

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%I A099704 #12 Jan 12 2021 20:47:49
%S A099704 1,2,24,776,79840,35397440,69619053504,564929183555840,
%T A099704 18464894708236907776,2418517115222622481308160,
%U A099704 1267747370909677813160722947072,2658511777246500251150215101758228480,22300872810108738542496498718468714032205824
%N A099704 Consider the family of multigraphs enriched by the species of directed graphs. Sequence gives number of those multigraphs with n labeled edges.
%D A099704 G. Paquin, Dénombrement de multigraphes enrichis, Mémoire, Math. Dept., Univ. Québec à Montréal, 2004.
%H A099704 Andrew Howroyd, <a href="/A099704/b099704.txt">Table of n, a(n) for n = 0..50</a>
%H A099704 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 A099704 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 A002416. - _Andrew Howroyd_, Jan 12 2021
%o A099704 (PARI) \\ R(n) is A002416 as e.g.f.; EnrichedGnSeq defined in A098620.
%o A099704 R(n)={sum(k=0, n, 2^(k^2)*x^k/k!) + O(x*x^n)}
%o A099704 EnrichedGnSeq(R(15)) \\ _Andrew Howroyd_, Jan 12 2021
%Y A099704 Cf. A002416, A014500, A098620, A099705, A099706, A099707.
%K A099704 nonn
%O A099704 0,2
%A A099704 _N. J. A. Sloane_, Oct 26 2004
%E A099704 Terms a(10) and beyond from _Andrew Howroyd_, Jan 12 2021