Revision History for A051184
(Underlined text is an addition;
strikethrough text is a deletion.)
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#6 by R. J. Mathar at Thu Jun 13 15:39:30 EDT 2013
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#5 by R. J. Mathar at Thu Jun 13 15:39:27 EDT 2013
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| AUTHOR
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_Vladeta Jovovic, _, Goran Kilibarda (vladeta(AT)eunet.rs)
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| STATUS
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approved
editing
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#4 by N. J. A. Sloane at Tue Jun 01 03:00:00 EDT 2010
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| KEYWORD
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nonn,new
nonn
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| AUTHOR
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Vladeta Jovovic, Goran Kilibarda (vladeta(AT)Euneteunet.yurs)
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#3 by N. J. A. Sloane at Fri May 16 03:00:00 EDT 2003
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| KEYWORD
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nonn,new
nonn
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| AUTHOR
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Vladeta Jovovic, Goran Kilibarda (vladeta@(AT)Eunet.yu)
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#2 by N. J. A. Sloane at Mon May 08 03:00:00 EDT 2000
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| REFERENCES
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V.. Jovovic, G. KilbardaKilibarda, On the number of Boolean functions fromin the Post classes F(^{mu}_8), (in Russian), , Diskretnaya Matematika, Moskva11 (1999), no. 4, to127-138 (translated in Discrete Mathematics and appear.Applications, 9, (1999), no. 6).
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| KEYWORD
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nonn,new
nonn
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#1 by N. J. A. Sloane at Sat Dec 11 03:00:00 EST 1999
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| NAME
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Number of 7-element intersecting families of an n-element set.
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| DATA
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0, 0, 0, 0, 80, 169125, 71102400, 18047221707, 3623784887164, 638772147728325, 103751227132038920, 15931275037246743999, 2348130220089143792148, 335520750110815538499945, 46803828588394634589433120
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| OFFSET
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0,5
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| REFERENCES
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V.Jovovic, G. Kilbarda, On the number of Boolean functions from the Post classes F(8), (in Russian), Diskretnaya Matematika, Moskva, to appear.
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| FORMULA
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1/7! (128^n - 21*96^n + 105*80^n - 35*72^n + 105*68^n - 42*66^n + 7*65^n - 476*64^n - 630*60^n + 1785*56^n + 315*54^n - 210*52^n - 105*51^n + 1260*50^n - 105*49^n - 1575*48^n - 2520*46^n - 105*45^n + 1638*44^n + 840*43^n - 6615*42^n + 1050*41^n + 4130*40^n - 1890*39^n + 14595*38^n + 2835*37^n - 7945*36^n - 1554*35^n - 18711*34^n - 12572*33^n + 24710*32^n + 4620*31^n + 560*30^n + 25995*29^n - 16905*28^n - 13545*27^n - 6510*26^n - 42945*25^n + 12005*24^n + 102011*23^n - 4648*22^n - 87780*21^n - 15785*20^n + 43120*19^n + 21364*18^n + 4200*17^n - 37205*16^n - 17105*15^n + 36386*14^n + 28644*13^n - 57603*12^n + 24150*11^n + 4585*10^n - 16289*9^n + 20943*8^n - 12754*7^n - 287*6^n + 4137*5^n - 3388*4^n + 1764*3^n + 720*2^n - 720)
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| CROSSREFS
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Cf. A036239, A051180-A051185.
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| KEYWORD
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nonn
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| AUTHOR
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Vladeta Jovovic, Goran Kilibarda (vladeta@Eunet.yu)
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| STATUS
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approved
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