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%I M1596 #30 Jun 09 2017 20:41:06
%S 1,2,6,13,32,92
%N Maximal number of prime implicants of a Boolean function of n variables.
%C Dunham and Fridsal showed that a(8) is at least 576. - _Don Knuth_, Aug 25 2005
%D M. M. Gadzhiev, Maximal length of the reduced disjunctive normal form for Boolean functions with five and six variables, Diskretnyi Analiz (Novosibirsk), (1971), 3-24 [ Computing Reviews #23,815, Sep. 1972 ].
%D N. J. A. Sloane and Simon Plouffe, The Encyclopedia of Integer Sequences, Academic Press, 1995 (includes this sequence).
%H B. Dunham and R. Fridshal, <a href="http://www.jstor.org/stable/2964570">The problem of simplifying logical expressions</a>, Journal of Symbolic Logic, 24 (1959), 17-19.
%H M. M. Gadzhiev, <a href="/A003039/a003039.pdf">Maximal length of the reduced disjunctive normal form for Boolean functions with five and six variables</a>, Diskretnyi Analiz (Novosibirsk), (1971), 3-24 [ Computing Reviews #23,815, Sep. 1972 ]. [Annotated scanned copy]
%H M. M. Gadzhiev, <a href="/A003039/a003039_1.pdf">Maximal length of the reduced disjunctive normal form for Boolean functions with five and six variables (abstract)</a>, Diskretnyi Analiz (Novosibirsk), (1971), 3-24 [ Computing Reviews #23,815, Sep. 1972 ]. [Annotated scanned copy of abstract]
%H <a href="/index/Bo#Boolean">Index entries for sequences related to Boolean functions</a>
%e a(3)=6 because of (x XOR y) OR (x XOR z) OR (y XOR z).
%K nonn,hard,more,nice
%O 1,2
%A _N. J. A. Sloane_
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