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

1,4

Links

Table of n, a(n) for n=1..9.

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

Formula

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

Crossrefs

Cf. A001206, A107765.

Sequence in context: A135078 A195243 A269005 * A065777 A193485 A006422

Adjacent sequences: A107763 A107764 A107765 * A107767 A107768 A107769

Keyword

hard,nonn,more

Author

Don Knuth, Jun 11 2005

Extensions

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

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

Status

approved