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.

A098626 Consider the family of directed multigraphs enriched by the species of derangements. Sequence gives number of those multigraphs with n labeled loops and arcs.

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%I A098626 #12 Jan 12 2021 21:30:08
%S A098626 1,0,2,4,57,348,5235,57930,1037540,16842496,363889755,7792175070,
%T A098626 201054289293,5345844537876,162234861271288,5156725529935952,
%U A098626 181284205622239755,6713109719185427600,269652617328843102055,11418447984579685481310,517839485352765454438270
%N A098626 Consider the family of directed multigraphs enriched by the species of derangements. Sequence gives number of those multigraphs with n labeled loops and arcs.
%D A098626 G. Paquin, Dénombrement de multigraphes enrichis, Mémoire, Math. Dept., Univ. Québec à Montréal, 2004.
%H A098626 Andrew Howroyd, <a href="/A098626/b098626.txt">Table of n, a(n) for n = 0..200</a>
%H A098626 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 A098626 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 A000166. - _Andrew Howroyd_, Jan 12 2021
%o A098626 (PARI) \\ R(n) is A000166 as e.g.f.; EnrichedGdlSeq defined in A098622.
%o A098626 R(n)={exp(-x + O(x*x^n))/(1-x)}
%o A098626 EnrichedGdlSeq(R(20)) \\ _Andrew Howroyd_, Jan 12 2021
%Y A098626 Cf. A000166, A014507, A098622, A098624, A098625, A098627.
%K A098626 nonn
%O A098626 0,3
%A A098626 _N. J. A. Sloane_, Oct 26 2004
%E A098626 Terms a(14) and beyond from _Andrew Howroyd_, Jan 12 2021