A051364 - OEIS

A051364

Number of 5-element families of an n-element set such that every 3 members of the family have a nonempty intersection.

0, 0, 0, 0, 225, 21571, 1174122, 51441824, 2038356243, 76714338477, 2804947403364, 100732231517698, 3572491367063421, 125474030774355263, 4371052010746528926, 151172238539268318372

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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

G. C. Greubel, Table of n, a(n) for n = 0..660

FORMULA

a(n) = (1/5!)*(32^n - 10*28^n + 30*26^n + 5*25^n - 80*24^n + 45*23^n + 105*22^n - 217*21^n + 205*20^n - 120*19^n + 45*18^n - 10*17^n - 9*16^n + 40*14^n - 60*13^n + 40*12^n - 10*11^n + 35*8^n - 35*7^n - 50*4^n + 50*3^n + 24*2^n - 24).

MATHEMATICA

Table[1/5! (32^n - 10*28^n + 30*26^n + 5*25^n - 80*24^n + 45*23^n + 105*22^n - 217*21^n + 205*20^n - 120*19^n + 45*18^n - 10*17^n - 9*16^n + 40*14^n - 60*13^n + 40*12^n - 10*11^n + 35*8^n - 35*7^n - 50*4^n + 50*3^n + 24*2^n - 24), {n, 0, 50}] (* G. C. Greubel, Oct 08 2017 *)

CROSSREFS

Cf. A036239, A051180, A051181, A051182, A051183, A051184, A051185.

Sequence in context: A164763 A164752 A151651 * A192934 A264194 A339693

Adjacent sequences: A051361 A051362 A051363 * A051365 A051366 A051367

KEYWORD

nonn

AUTHOR

Vladeta Jovovic, Goran Kilibarda

STATUS

approved