A051182 Number of 5-element intersecting families of an n-element set.

0, 0, 0, 0, 371, 38163, 2236504, 103998636, 4289058501, 164693276181, 6034793020298, 213993130915542, 7407880110115111, 251837583669470799, 8443568934653875932, 280082506996725346368

Offset

0,5

References

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).

Links

Table of n, a(n) for n=0..15.

Formula

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).

Crossrefs

Cf. A036239, A051180-A051185.

Sequence in context: A281858 A037232 A165330 * A281860 A161362 A203924

Adjacent sequences: A051179 A051180 A051181 * A051183 A051184 A051185

Keyword

nonn

Author

Vladeta Jovovic, Goran Kilibarda

Status

approved