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Search: id:A051113
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| A051113 |
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Number of monotone Boolean functions of n variables with 5 mincuts. |
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6
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| 0, 0, 0, 0, 6, 2146, 304752, 25400564, 1557306954, 78817977462, 3513106214484, 143429796694888, 5501383287745422, 201652447559180618, 7148287976359243896, 247151326758617289372, 8386495692534098616210
(list; graph; listen)
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OFFSET
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0,5
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REFERENCES
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J. L. Arocha, Antichains in ordered sets, (in Spanish) An. Inst. Mat. UNAM, vol. 27, 1987, 1-21.
V. Jovovic, G. Kilibarda, On enumeration of the class of all monotone Boolean function, Belgrade, 1999, in preparation.
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LINKS
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K. S. Brown, Dedekind's Problem
Vladeta Jovovic, Illustration for A016269, A047707, A051112-A051118
Index entries for sequences related to Boolean functions
Goran Kilibarda and Vladeta Jovovic, Antichains of Multisets, J. Integer Seqs., Vol. 7, 2004.
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FORMULA
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1/5! (32^n-20 * 24^n+ 60 * 20^n+ 20 * 18^n+ 10 * 17^n-110 * 16^n-120 * 15^n+ 150 * 14^n+ 120 * 13^n-240 * 12^n+ 20 * 11^n+ 240 * 10^n+ 40 * 9^n-205 * 8^n+ 60 * 7^n-210 * 6^n+ 210 * 5^n+ 50 * 4^n-100 * 3^n+ 24 * 2^n)
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CROSSREFS
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Cf. A016269, A047707, A051112-A051118.
Adjacent sequences: A051110 A051111 A051112 this_sequence A051114 A051115 A051116
Sequence in context: A089535 A059081 A056048 this_sequence A067174 A059203 A069643
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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)
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