A287512 Number of simple perfect non-bipartite graphs on n vertices.

0, 0, 1, 4, 20, 113, 818, 8584, 135637, 3263785, 115779695, 5855248060

Offset

1,4

Links

Table of n, a(n) for n=1..12.

Eric Weisstein's World of Mathematics, Bipartite Graph

Eric Weisstein's World of Mathematics, Perfect Graph

Eric Weisstein's World of Mathematics, Simple Graph

Formula

a(n) = A052431(n) - A033995(n), since all bipartite graphs are perfect. - Falk Hüffner, Aug 10 2017

Crossrefs

Cf. A033995, A052431.

Sequence in context: A245375 A362223 A108447 * A367237 A211248 A346414

Adjacent sequences: A287509 A287510 A287511 * A287513 A287514 A287515

Keyword

nonn,more

Author

Eric W. Weisstein, May 26 2017

Extensions

a(11)-a(12) from formula by Falk Hüffner, Aug 10 2017

Status

approved