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.

A098624 Consider the family of multigraphs enriched by the species of derangements. Sequence gives number of those multigraphs with n labeled edges.

This page as a plain text file.
%I A098624 #13 Jan 12 2021 18:56:08
%S A098624 1,0,1,2,15,84,750,6852,79639,1006184,14875218,241078100,4392257716,
%T A098624 87279581232,1905609327583,45008114794874,1150897256534370,
%U A098624 31580332783936416,928535967078634497,29090873853321687666,969132936087009709174,34198721664081728281400
%N A098624 Consider the family of multigraphs enriched by the species of derangements. Sequence gives number of those multigraphs with n labeled edges.
%D A098624 G. Paquin, Dénombrement de multigraphes enrichis, Mémoire, Math. Dept., Univ. Québec à Montréal, 2004.
%H A098624 Andrew Howroyd, <a href="/A098624/b098624.txt">Table of n, a(n) for n = 0..200</a>
%H A098624 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 A098624 E.g.f.: B(R(x)) where B(x) is the e.g.f. of A014500 and 1 + R(x) is the e.g.f. of A000166. - _Andrew Howroyd_, Jan 12 2021
%o A098624 (PARI) \\ R(n) is A000166 as e.g.f.; EnrichedGnSeq defined in A098620.
%o A098624 R(n)={exp(-x + O(x*x^n))/(1-x)}
%o A098624 EnrichedGnSeq(R(20)) \\ _Andrew Howroyd_, Jan 12 2021
%Y A098624 Cf. A000166, A014500, A098620, A098625, A098626, A098627.
%K A098624 nonn
%O A098624 0,4
%A A098624 _N. J. A. Sloane_, Oct 26 2004
%E A098624 Terms a(14) and beyond from _Andrew Howroyd_, Jan 12 2021