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.

A098627 Consider the family of directed multigraphs enriched by the species of derangements. Sequence gives number of those multigraphs with n labeled arcs.

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%I A098627 #14 Jan 13 2021 01:20:05
%S A098627 1,0,1,2,27,164,2335,25458,437241,6965112,145640817,3057675290,
%T A098627 76814951587,2003471245164,59438049704943,1855131250113498,
%U A098627 63937099992148785,2327591284996635888,91854272591000172321,3828194864278619367474,170846746588575658999147
%N A098627 Consider the family of directed multigraphs enriched by the species of derangements. Sequence gives number of those multigraphs with n labeled arcs.
%D A098627 G. Paquin, Dénombrement de multigraphes enrichis, Mémoire, Math. Dept., Univ. Québec à Montréal, 2004.
%H A098627 Andrew Howroyd, <a href="/A098627/b098627.txt">Table of n, a(n) for n = 0..200</a>
%H A098627 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 A098627 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 A000166. - _Andrew Howroyd_, Jan 12 2021
%o A098627 (PARI) \\ R(n) is A000166 as e.g.f.; EnrichedGdSeq defined in A098623.
%o A098627 R(n)={exp(-x + O(x*x^n))/(1-x)}
%o A098627 EnrichedGdSeq(R(20)) \\ _Andrew Howroyd_, Jan 12 2021
%Y A098627 Cf. A000166, A014505, A098623, A098624, A098625, A098626.
%K A098627 nonn
%O A098627 0,4
%A A098627 _N. J. A. Sloane_, Oct 26 2004
%E A098627 Terms a(14) and beyond from _Andrew Howroyd_, Jan 12 2021