A283825 Number of Hamiltonian regular graphs on n nodes.

1, 0, 1, 2, 2, 5, 4, 17, 22, 165, 538, 18972, 389426, 50314715

Offset

1,4

Comments

By convention, the singleton graph is generally considered to be both regular (cf. A005176) and Hamiltonian (cf. A003216). - Eric W. Weisstein, Oct 30 2017

Links

Table of n, a(n) for n=1..14.

F. Hüffner, tinygraph, software for generating integer sequences based on graph properties.

Peter Steinbach, Field Guide to Simple Graphs, Volume 1, Part 17 (For Volumes 1, 2, 3, 4 of this book see A000088, A008406, A000055, A000664, respectively.)

Eric Weisstein's World of Mathematics, Hamiltonian Graph

Eric Weisstein's World of Mathematics, LCF Notation

Eric Weisstein's World of Mathematics, Regular Graph

Crossrefs

Cf. A005176, A005177.

Sequence in context: A349451 A054079 A210713 * A005177 A357123 A253600

Adjacent sequences: A283822 A283823 A283824 * A283826 A283827 A283828

Keyword

nonn,more

Author

N. J. A. Sloane, Mar 19 2017

Extensions

a(11)-a(14) added using tinygraph by Falk Hüffner, Mar 31 2017

a(1) changed from 0 to 1 by Eric W. Weisstein, Oct 30 2017

Status

approved