A243272 Number of unlabeled simple graphs with n nodes that are Hamiltonian and Eulerian.

1, 0, 1, 1, 2, 5, 21, 120, 1312, 26525, 1073690, 84471633

Offset: 1

Author

Travis Hoppe and Anna Petrone, Jun 02 2014

Keywords

• nonn
• more

Links

• Travis Hoppe and Anna Petrone, Encyclopedia of Finite Graphs.
• Travis Hoppe and Anna Petrone, Integer sequence discovery from small graphs, arXiv preprint arXiv:1408.3644 [math.CO], 2014.
• Falk Hüffner, tinygraph, software for generating integer sequences based on graph properties, version a1db88e.
• Eric Weisstein's World of Mathematics, Eulerian Graph.
• Eric Weisstein's World of Mathematics, Hamiltonian Graph.

Crossrefs

Cf. A003216 (Hamiltonian graphs), A003049 (Eulerian graphs).

Extensions

a(10)-a(11) added using tinygraph by Falk Hüffner, Aug 15 2017