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Number of 5-element intersecting families of an n-element set.
6

%I #8 Apr 10 2022 14:28:11

%S 0,0,0,0,371,38163,2236504,103998636,4289058501,164693276181,

%T 6034793020298,213993130915542,7407880110115111,251837583669470799,

%U 8443568934653875932,280082506996725346368

%N Number of 5-element intersecting families of an n-element set.

%D 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).

%F 1/5!(32^n-10*24^n+30*20^n-5*18^n+5*17^n-80*16^n-30*15^n+135*14^n+30*13^n-80*12^n-2*11^n+10*10^n-100*9^n+240*8^n-160*7^n-44*6^n+95*5^n-85*4^n+50*3^n+24*2^n-24).

%Y Cf. A036239, A051180-A051185.

%K nonn

%O 0,5

%A _Vladeta Jovovic_, Goran Kilibarda