A007105 Number of labeled Eulerian 3-regular digraphs with n nodes. (Formerly M5285)

1, 0, 0, 0, 1, 44, 7570, 1975560, 749649145, 399035751464, 289021136349036, 277435664056527360, 345023964977303838105, 545099236551025860229460, 1075595203804151695555622446

Offset

0,6

Comments

Apparently this counts the binary variant (all elements in {0,1}) of A001500 with zero trace. - R. J. Mathar, May 16 2021

References

R. W. Robinson, personal communication.

N. J. A. Sloane and Simon Plouffe, The Encyclopedia of Integer Sequences, Academic Press, 1995 (includes this sequence).

Links

Table of n, a(n) for n=0..14.

Óscar González, Carlos Beltrán, and Ignacio Santamaría, On the Number of Interference Alignment Solutions for the K-User MIMO Channel with Constant Coefficients, arXiv preprint arXiv:1301.6196 [cs.IT], 2013-2014. - From N. J. A. Sloane, Feb 19 2013

Jan Tóth and Ondřej Kuželka, Complexity of Weighted First-Order Model Counting in the Two-Variable Fragment with Counting Quantifiers: A Bound to Beat, arXiv:2404.12905 [cs.LO], 2024. See p. 18.

Crossrefs

Cf. A001500, A284990.

Sequence in context: A203974 A266853 A323315 * A180842 A172753 A268425

Adjacent sequences: A007102 A007103 A007104 * A007106 A007107 A007108

Keyword

nonn

Author

N. J. A. Sloane.

Status

approved