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.

A099695 Consider the family of directed multigraphs enriched by the species of directed sets. Sequence gives number of those multigraphs with n labeled arcs.

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%I A099695 #13 Jan 13 2021 01:21:36
%S A099695 1,1,8,106,2144,59844,2173450,98648246,5433864078,355229741266,
%T A099695 27080154837658,2373310690810690,236327564463489838,
%U A099695 26475199136060717618,3308794737926514931894,457980967372496137472590,69761664006643652403884218,11629282648335699139979015070
%N A099695 Consider the family of directed multigraphs enriched by the species of directed sets. Sequence gives number of those multigraphs with n labeled arcs.
%D A099695 G. Paquin, Dénombrement de multigraphes enrichis, Mémoire, Math. Dept., Univ. Québec à Montréal, 2004.
%H A099695 Andrew Howroyd, <a href="/A099695/b099695.txt">Table of n, a(n) for n = 0..100</a>
%H A099695 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 A099695 E.g.f.: B(2*exp(x) - x - 2) where B(x) is the e.g.f. of A014505. - _Andrew Howroyd_, Jan 12 2021
%o A099695 (PARI) \\ R(n) is e.g.f. of 1, 1, 2, 2, 2, ...; EnrichedGdSeq defined in A098623.
%o A099695 R(n)={2*exp(x + O(x*x^n)) - x - 1}
%o A099695 EnrichedGdSeq(R(20)) \\ _Andrew Howroyd_, Jan 12 2021
%Y A099695 Cf. A014505, A098623, A099692, A099693, A099694.
%K A099695 nonn
%O A099695 0,3
%A A099695 _N. J. A. Sloane_, Oct 26 2004
%E A099695 Terms a(11) and beyond from _Andrew Howroyd_, Jan 12 2021