A051118 Number of monotone Boolean functions of n variables with 10 mincuts.

0, 0, 0, 0, 0, 2, 1067771, 43506231489, 501425871595264, 2719674203584968630, 9172837864705015158979, 22524989249381408262409893, 44328073635887914351462953684, 74381256243136645820404637874910

Offset

0,6

References

J. L. Arocha, Antichains in ordered sets, (in Spanish) An. Inst. Mat. UNAM, vol. 27, 1987, 1-21.

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, Belgrade, 1999, in preparation.

Links

Table of n, a(n) for n=0..13.

K. S. Brown, Dedekind's Problem

Vladeta Jovovic, Illustration for A016269, A047707, A051112-A051118

Goran Kilibarda and Vladeta Jovovic, Antichains of Multisets, J. Integer Seqs., Vol. 7, 2004.

Index entries for sequences related to Boolean functions

Crossrefs

Cf. A016269, A047707, A051112, A051113, A051114, A051115, A051116, A051117.

Sequence in context: A173363 A052205 A170996 * A324439 A218169 A380589

Adjacent sequences: A051115 A051116 A051117 * A051119 A051120 A051121

Keyword

nonn

Author

Vladeta Jovovic, Goran Kilibarda, and Zoran Maksimovic

Status

approved