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Search: id:A051367
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| A051367 |
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Number of 5-element families of an n-element set such that every 4 members of the family have a non-empty intersection. |
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+0
1
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| 0, 0, 0, 0, 224, 21281, 1144027, 49310674, 1915317642, 70460566827, 2513684751809, 88008877380908, 3043421159408080, 104321464544910613, 3552122530256316471, 120307381384305672102
(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, 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).
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FORMULA
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(1/5!) * (32^n-5*30^n+10*29^n-10*28^n+5*27^n-26^n-10*16^n+10*15^n+35*8^n-35*7^n-50*4^n+50*3^n+24*2^n-24)
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CROSSREFS
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Cf. A036239, A051180-A051185.
Sequence in context: A015048 A032802 A007771 this_sequence A076007 A044871 A077347
Adjacent sequences: A051364 A051365 A051366 this_sequence A051368 A051369 A051370
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KEYWORD
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nonn
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AUTHOR
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Vladeta Jovovic, Goran Kilibarda (vladeta(AT)eunet.rs)
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