%I A003217 M2455
%S A003217 0,1,3,5,9,17,35,79,209
%N A003217 Maximum of minimum total weight for threshold functions of n Boolean 
               variables.
%D A003217 N. Alon and V. H. Vu, Anti-Hadamard matrices, coin weighing, threshold 
               gates and indecomposable hypergraphs, Journal of Combinatorial Theory 
               A79 (1997), 133-160.
%D A003217 S. Muroga, Threshold Logic and Its Applications. Wiley, NY, 1971, p. 
               268.
%D A003217 S. Muroga, T. Tsuboi and C. R. Baugh, "Enumeration of threshold functions 
               of eight variables," IEEE Transactions on Computers, 19 (1970), 818-825.
%D A003217 N. J. A. Sloane and Simon Plouffe, The Encyclopedia of Integer Sequences, 
               Academic Press, 1995 (includes this sequence).
%F A003217 For asymptotics see the Alon-Vu article.
%e A003217 a(4)=9 because the threshold functions "majority of wwxxyz000" and "majority 
               of wwwxxyz00" and "majority of wwwxxyyz0" cannot be described as 
               majority of seven or five things, but no threshold function of w,
               x,y,z requires a majority of more than nine.
%Y A003217 Sequence in context: A087312 A099170 A018095 this_sequence A006723 A096390 
               A092264
%Y A003217 Adjacent sequences: A003214 A003215 A003216 this_sequence A003218 A003219 
               A003220
%K A003217 nonn,hard
%O A003217 0,3
%A A003217 N. J. A. Sloane (njas(AT)research.att.com).