A137975 - OEIS

%I #9 Oct 22 2019 19:23:49

%S 1,2,8,32,167,928,5924,40211,293370,2255406,18201706,153176115,

%T 1339271815,12124484941,113362749476,1092329626380,10827837622018,

%U 110249198676581,1151562885666429,12324860339781102,135026515460855978,1512882677086123938,17321462912397361409,202503301170606347695,2415733704608822524946,29387239261415606708127

%N Row sums of A139621, number of connected directed multigraphs with loops and no vertex of degree 0, with n arcs.

%C Inverse Euler transform of A052171.

%H Andrew Howroyd, <a href="/A137975/b137975.txt">Table of n, a(n) for n = 0..50</a>

%o (PARI) \\ See A139621 for G, InvEulerMT.

%o seq(n)={vecsum([Vec(p+O(y^n), -n) | p<-InvEulerMT(vector(n, k, G(k, y + O(y^n))))])} \\ _Andrew Howroyd_, Oct 22 2019

%Y Row sums of A139621.

%Y Cf. A052171, A139627.

%K nonn

%O 0,2

%A _Benoit Jubin_, May 01 2008, May 10 2008

%E Data corrected to match A052171. - _R. J. Mathar_, Jul 25 2017