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A037843 Number of matrices with n columns whose rows do not cover each other; ordered antichains of subsets of an n-set. +0
2
2, 3, 7, 39, 2551, 22928343, 6641112790058484007 (list; graph; listen)
OFFSET

0,1

REFERENCES

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.

LINKS

K. S. Brown, Dedekind's problem

Index entries for sequences related to Boolean functions

FORMULA

a(n)=Sum_{k=0..C(n, floor(n/2))}k!*M(n, k) where M(n, k) is the number of distinct monotone Boolean functions of n variables with k mincuts.

CROSSREFS

Cf. A003182, A051112-A051117, A007411, A006602.

Sequence in context: A000317 A047024 A171708 this_sequence A102604 A119662 A163157

Adjacent sequences: A037840 A037841 A037842 this_sequence A037844 A037845 A037846

KEYWORD

hard,nonn

AUTHOR

Vladeta Jovovic, Goran Kilibarda (vladeta(AT)eunet.rs), Jul 23 2000

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Last modified March 11 00:12 EST 2010. Contains 173097 sequences.


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