0,1

An antichain on a set is a T_0-antichain if for every two distinct points of the set there exists a member of the antichain containing one but not the other point.

V. Jovovic and G. Kilibarda, On the number of Boolean functions in the Post classes F^{mu}_8, Diskretnaya Matematika, 11 (1999), no. 4, 127-138 (translated in Discrete Mathematics and Applications, 9, (1999), no. 6)

V. Jovovic, G. Kilibarda, On enumeration of the class of all monotone Boolean functions, in preparation.

V. Jovovic, 3-element T_0-antichains on a labeled 4-set

V. Jovovic, Formula for the number of m-element T_0-antichains on a labeled n-set

a(n)=Sum_{m=0..binomial(n, floor(n/2))} A(m, n), where A(m, n) is number of m-element T_0-antichains on a labeled n-set. Cf. A059080.

a(0) = 1 + 1, a(1) = 1 + 2, a(2) = 2 + 1, a(3) = 6 + 2, a(4) = 12 + 52 + 25 + 6 + 1, a(5) = 520 + 1770 + 2086 + 1370 + 490 + 115 + 20 + 2. a(n) = column sums of A059080.

Cf. A059079-A059082, A059048-A059052.

Cf. A000372.

Sequence in context: A108381 A108692 A157126 this_sequence A124931 A124932 A110042

Adjacent sequences: A059080 A059081 A059082 this_sequence A059084 A059085 A059086

hard,nonn

Vladeta Jovovic, Goran Kilibarda (vladeta(AT)eunet.rs), Jan 06 2001

More terms from Vladeta Jovovic (vladeta(AT)eunet.rs), Nov 28 2003