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.

A099702 Consider the family of directed multigraphs enriched by the species of simple graphs. Sequence gives number of those multigraphs with n labeled loops and arcs.

This page as a plain text file.
%I A099702 #12 Jan 12 2021 21:31:47
%S A099702 1,2,17,256,5719,173446,6768075,328288840,19468007553,1458080017522,
%T A099702 183476204746761,87209577493989776,154656821805639801687,
%U A099702 617619828457724835488214,5008102331929281541386123923,81618549234469098721106601012472,2666950050438611111026601803629686849
%N A099702 Consider the family of directed multigraphs enriched by the species of simple graphs. Sequence gives number of those multigraphs with n labeled loops and arcs.
%D A099702 G. Paquin, Dénombrement de multigraphes enrichis, Mémoire, Math. Dept., Univ. Québec à Montréal, 2004.
%H A099702 Andrew Howroyd, <a href="/A099702/b099702.txt">Table of n, a(n) for n = 0..50</a>
%H A099702 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 A099702 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 A006125. - _Andrew Howroyd_, Jan 12 2021
%o A099702 (PARI) \\ R(n) is A006125 as e.g.f.; EnrichedGdlSeq defined in A098622.
%o A099702 R(n)={sum(k=0, n, 2^binomial(k, 2)*x^k/k!) + O(x*x^n)}
%o A099702 EnrichedGdlSeq(R(20)) \\ _Andrew Howroyd_, Jan 12 2021
%Y A099702 Cf. A006125, A014507, A098622, A099700, A099701, A099703.
%K A099702 nonn
%O A099702 0,2
%A A099702 _N. J. A. Sloane_, Oct 26 2004
%E A099702 Terms a(12) and beyond from _Andrew Howroyd_, Jan 12 2021