%I A036240
%S A036240 0,0,12,200,2280,22420,205212,1806000,15522960,131383340,1100093412,
%T A036240 9138243400,75445046040,619838752260,5072272077612,41371548418400,
%U A036240 336519691295520,2730963319321180,22119245290765812,178854325039467000
%N A036240 Number of 3-way interactions when 3 subsets of power set on {1..n} are 
               chosen at random; number of Boolean functions of n variables and 
               rank 3 from Post class F(8,inf)
%D A036240 W. W. Kokko, "Interactions", manuscript, 1983.
%D A036240 V. Jovovic and 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).
%H A036240 Thomas Wieder, The number of certain k-combinations of an n-set, <a href="http:/
               /www.math.nthu.edu.tw/~amen/">Applied Mathematics Electronic Notes</
               a>, vol. 8 (2008).
%H A036240 <a href="Sindx_Bo.html#Boolean">Index entries for sequences related to 
               Boolean functions</a>
%F A036240 1/3! (8^n-7^n-3*4^n+3*3^n+2*2^n-2).
%Y A036240 Cf. A036239.
%Y A036240 Sequence in context: A115865 A159359 A119864 this_sequence A133242 A141836 
               A083932
%Y A036240 Adjacent sequences: A036237 A036238 A036239 this_sequence A036241 A036242 
               A036243
%K A036240 nonn,easy,nice
%O A036240 1,3
%A A036240 N. J. A. Sloane (njas(AT)research.att.com).