A129419 Number of isomorphism classes of connected 5-regular loopless multigraphs of order 2n.

1, 4, 49, 1689, 187392, 46738368, 20446754006, 14021056991357, 14141140657400321, 20047531681346319557, 38567298550226625579671, 97861817259606311572409609, 319914449561753621623849929222, 1320949150506412557504787822889933, 6773751604973857152218372443743552754

Offset: 1

Author

Brendan McKay, Apr 15 2007

Keywords

• nonn

Comments

Initial terms computed using software at http://users.cecs.anu.edu.au/~bdm/nauty/

Links

• Brendan McKay and Adolfo Piperno, Nauty and Traces

Crossrefs

Column k=5 of A328682.

Cf. A129420, A129430, A000421, A129417, A129421, A129423, A129425, A328682.

Programs

nauty

geng -c -d1 $[2*$n] -q | multig -r5 -u # Natan Arie Consigli, Dec 20 2019

Formula

Inverse Euler transform of A129420. - Andrew Howroyd, Mar 17 2020

Extensions

a(8)-a(15) from Andrew Howroyd, Mar 21 2020