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.

A098631 Consider the family of directed multigraphs enriched by the species of parts. Sequence gives number of those multigraphs with n labeled arcs.

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%I A098631 #16 Jan 13 2021 01:20:22
%S A098631 1,2,28,696,26512,1402656,97017792,8418174848,889241719040,
%T A098631 111774837350912,16420543334734848,2778708477919836160,
%U A098631 535183812199464341504,116142946557502449852416,28156854547845767203373056,7569375509914847295271043072,2241898693518356603925445017600
%N A098631 Consider the family of directed multigraphs enriched by the species of parts. Sequence gives number of those multigraphs with n labeled arcs.
%D A098631 G. Paquin, Dénombrement de multigraphes enrichis, Mémoire, Math. Dept., Univ. Québec à Montréal, 2004.
%H A098631 Andrew Howroyd, <a href="/A098631/b098631.txt">Table of n, a(n) for n = 0..100</a>
%H A098631 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 A098631 a(n) = 2^n*A020556(n). - _Vladeta Jovovic_, Aug 11 2005
%F A098631 E.g.f.: B(R(x)) where B(x) is the e.g.f. of A014505 and 1 + R(x) is the e.g.f. of A000079. - _Andrew Howroyd_, Jan 12 2021
%o A098631 (PARI) \\ R(n) is A000079 as e.g.f.; EnrichedGdSeq defined in A098623.
%o A098631 R(n)={exp(2*x + O(x*x^n))}
%o A098631 EnrichedGdSeq(R(20)) \\ _Andrew Howroyd_, Jan 12 2021
%Y A098631 Cf. A000079, A014505, A020556, A098623, A098628, A098629, A098630.
%K A098631 nonn
%O A098631 0,2
%A A098631 _N. J. A. Sloane_, Oct 26 2004
%E A098631 More terms from _Vladeta Jovovic_, Aug 11 2005
%E A098631 Terms a(14) and beyond from _Andrew Howroyd_, Jan 12 2021