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.

A098638 Consider the family of directed multigraphs enriched by the species of odd sets. Sequence gives number of those multigraphs with n labeled loops and arcs.

This page as a plain text file.
%I A098638 #15 Jan 12 2021 21:30:41
%S A098638 1,2,13,164,3127,82600,2845775,122820136,6446913953,402413160952,
%T A098638 29343933156485,2464029760993520,235446319553848087,
%U A098638 25346231173047308256,3047931031445529965527,406412844141860523543392,59704680455100785101683457,9608818815170839730520275488
%N A098638 Consider the family of directed multigraphs enriched by the species of odd sets. Sequence gives number of those multigraphs with n labeled loops and arcs.
%D A098638 G. Paquin, Dénombrement de multigraphes enrichis, Mémoire, Math. Dept., Univ. Québec à Montréal, 2004.
%H A098638 Andrew Howroyd, <a href="/A098638/b098638.txt">Table of n, a(n) for n = 0..200</a>
%H A098638 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 A098638 E.g.f.: exp(-1)*Sum_{n>=0}(1+sinh(x))^(n^2)/n!. - _Vladeta Jovovic_, Mar 04 2008
%F A098638 E.g.f.: B(sinh(x)) where B(x) is the e.g.f. of A014507. - _Andrew Howroyd_, Jan 12 2021
%o A098638 (PARI) \\ EnrichedGdlSeq defined in A098622.
%o A098638 EnrichedGdlSeq(sinh(x + O(x*x^20))) \\ _Andrew Howroyd_, Jan 12 2021
%Y A098638 Cf. A014507, A098622, A098636, A098637, A098639.
%K A098638 nonn
%O A098638 0,2
%A A098638 _N. J. A. Sloane_, Oct 26 2004
%E A098638 Missing a(10) inserted and terms a(13) and beyond from _Andrew Howroyd_, Jan 12 2021