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A051182 Number of 5-element intersecting families of an n-element set. 6
0, 0, 0, 0, 371, 38163, 2236504, 103998636, 4289058501, 164693276181, 6034793020298, 213993130915542, 7407880110115111, 251837583669470799, 8443568934653875932, 280082506996725346368 (list; graph; refs; listen; history; text; internal format)
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

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Last modified June 29 06:39 EDT 2017. Contains 288859 sequences.