A333727 Total number of graceful labelings of all simple graphs on n nodes.

1, 2, 16, 144, 1428, 25328, 631026, 25087224

Offset

1,2

Comments

Counts are for all labelings, not just fundamental ones, so includes labelings that are equivalent under the graph's automorphism group and via subtractive complementation. - Eric W. Weisstein, Dec 15 2024

Links

Table of n, a(n) for n=1..8.

Eric Weisstein's World of Mathematics, Graceful Labeling.

Eric Weisstein's World of Mathematics, Simple Graph.

Crossrefs

Sequence in context: A003768 A214767 A300412 * A024915 A162440 A337793

Adjacent sequences: A333724 A333725 A333726 * A333728 A333729 A333730

Keyword

nonn,more,hard,changed

Author

Eric W. Weisstein, Apr 03 2020

Extensions

a(8) from Eric W. Weisstein, Jul 30 2020

Status

approved