A107766 Number of self-dual monotonic Boolean functions on n variables (where the result depends on all n variables).

1, 0, 1, 4, 46, 2284, 1405428, 229798671816, 423295097006496421879

Offset: 1

Author

Don Knuth, Jun 11 2005

Keywords

• hard
• nonn
• more

Links

• Hans-J. Bandelt and Jarmila Hedlíková, Median algebras, Discrete Mathematics, 45 (1983), 1-30.

Crossrefs

Cf. A001206, A107765.

Formula

A001206(n) = Sum_{k=1..n} binomial(n,k)*a(k).

Extensions

a(7)-a(8) from Vladeta Jovovic, Jun 13 2005

a(9) (using formula) from Pontus von Brömssen, Dec 29 2023