%I A051364
%S A051364 0,0,0,0,225,21571,1174122,51441824,2038356243,76714338477,
%T A051364 2804947403364,100732231517698,3572491367063421,125474030774355263,
%U A051364 4371052010746528926,151172238539268318372
%N A051364 Number of 5-element families of an n-element set such that every 3 members 
               of the family have a non-empty intersection.
%D A051364 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 A051364 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)
%Y A051364 Cf. A036239, A051180-A051185.
%Y A051364 Sequence in context: A164763 A164752 A151651 this_sequence A061051 A036428 
               A109688
%Y A051364 Adjacent sequences: A051361 A051362 A051363 this_sequence A051365 A051366 
               A051367
%K A051364 nonn
%O A051364 0,5
%A A051364 Vladeta Jovovic, Goran Kilibarda (vladeta(AT)eunet.rs)