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.

A099700 Consider the family of multigraphs enriched by the species of simple graphs. Sequence gives number of those multigraphs with n labeled edges.

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%I A099700 #12 Jan 12 2021 20:48:31
%S A099700 1,1,4,29,330,5438,128211,4808964,378829853,77137284917,
%T A099700 36854103598061,36864364745783295,74684573193253556537,
%U A099700 304187997559381840229969,2484431769481244742219110666,40639512967159110848931023115111,1330529956364528398902155692019721596
%N A099700 Consider the family of multigraphs enriched by the species of simple graphs. Sequence gives number of those multigraphs with n labeled edges.
%D A099700 G. Paquin, Dénombrement de multigraphes enrichis, Mémoire, Math. Dept., Univ. Québec à Montréal, 2004.
%H A099700 Andrew Howroyd, <a href="/A099700/b099700.txt">Table of n, a(n) for n = 0..50</a>
%H A099700 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 A099700 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 A006125. - _Andrew Howroyd_, Jan 12 2021
%o A099700 (PARI) \\ R(n) is A006125 as e.g.f.; EnrichedGnSeq defined in A098620.
%o A099700 R(n)={sum(k=0, n, 2^binomial(k,2)*x^k/k!) + O(x*x^n)}
%o A099700 EnrichedGnSeq(R(20)) \\ _Andrew Howroyd_, Jan 12 2021
%Y A099700 Cf. A006125, A014500, A098620, A099701, A099702, A099703.
%K A099700 nonn
%O A099700 0,3
%A A099700 _N. J. A. Sloane_, Oct 26 2004
%E A099700 Terms a(12) and beyond from _Andrew Howroyd_, Jan 12 2021