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Search: id:A056048
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| A056048 |
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Number of 5-antichain covers of a labeled n-set. |
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+0
2
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| 0, 0, 0, 0, 6, 2116, 291966, 23312156, 1362515742, 65691305652, 2792020643502, 108871903828732, 3995501812110798, 140371634250355508, 4776934559777356158, 158783001150185585628
(list; graph; listen)
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OFFSET
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0,5
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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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K. S. Brown, Dedekind's problem
Eric Weisstein's World of Mathematics, Antichain covers"
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FORMULA
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a(n)=(1/5!)*(31^n - 20*23^n + 60*19^n + 20*17^n + 10*16^n - 110*15^n - 120*14^n + 150*13^n + 120*12^n - 240*11^n + 20*10^n + 240*9^n + 40*8^n - 205*7^n + 60*6^n - 210*5^n + 210*4^n + 50*3^n - 100*2^n + 24).
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CROSSREFS
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Cf. A051113.
Adjacent sequences: A056045 A056046 A056047 this_sequence A056049 A056050 A056051
Sequence in context: A004817 A089535 A059081 this_sequence A051113 A067174 A059203
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KEYWORD
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nonn
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AUTHOR
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Vladeta Jovovic, Goran Kilibarda, Zoran Maksimovic (vladeta(AT)Eunet.yu), Jul 25 2000
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