A137975 Row sums of A139621, number of connected directed multigraphs with loops and no vertex of degree 0, with n arcs.

1, 2, 8, 32, 167, 928, 5924, 40211, 293370, 2255406, 18201706, 153176115, 1339271815, 12124484941, 113362749476, 1092329626380, 10827837622018, 110249198676581, 1151562885666429, 12324860339781102, 135026515460855978, 1512882677086123938, 17321462912397361409, 202503301170606347695, 2415733704608822524946, 29387239261415606708127

Offset

0,2

Comments

Inverse Euler transform of A052171.

Links

Andrew Howroyd, Table of n, a(n) for n = 0..50

Prog

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

Crossrefs

Row sums of A139621.

Cf. A052171, A139627.

Sequence in context: A277432 A030872 A030835 * A051636 A081561 A009753

Adjacent sequences: A137972 A137973 A137974 * A137976 A137977 A137978

Keyword

nonn

Author

Benoit Jubin, May 01 2008, May 10 2008

Extensions

Data corrected to match A052171. - R. J. Mathar, Jul 25 2017

Status

approved