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A037843
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Number of matrices with n columns whose rows do not cover each other; ordered antichains of subsets of an n-set.
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1
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OFFSET
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0,1
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REFERENCES
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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.
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LINKS
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Table of n, a(n) for n=0..6.
K. S. Brown, Dedekind's problem
Index entries for sequences related to Boolean functions
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FORMULA
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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.
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CROSSREFS
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Cf. A003182, A051112-A051117, A007411, A006602.
Sequence in context: A000317 A047024 A182219 * A102604 A119662 A163157
Adjacent sequences: A037840 A037841 A037842 * A037844 A037845 A037846
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KEYWORD
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hard,nonn
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AUTHOR
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Vladeta Jovovic, Goran Kilibarda (vladeta(AT)eunet.rs), Jul 23 2000
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STATUS
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approved
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