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Number of truth tables generated by (n-1)-CNF Boolean expressions of n variables.
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%I #5 Jan 04 2021 19:59:34

%S 10,166,43146,2805252934

%N Number of truth tables generated by (n-1)-CNF Boolean expressions of n variables.

%C Conjunctive Normal Form (CNF) is a conjunction of disjunctions. k-CNF limits each disjunctive clause to k variables and their complements.

%H C. B. Barber, <a href="http://www.qhull.org/download/ttcnf-2005.1.zip">ttcnf 2005.1</a> (April 2005).

%H C. B. Barber, <a href="http://www.qhull.org/ttcnf">www.qhull.org/ttcnf</a>.

%e The 1-CNF expressions of 2 variables are a, -a, b, -b, a and b, a and -b, -a and b, -a and -b, a and -a, true. Their truth tables are 0xC, 0x3, 0xA, 0x5, 0x8, 0x4, 0x2, 0x1, 0x0, 0xF.

%Y Cf. A109457, A112535.

%K more,nonn

%O 2,1

%A Brad Barber (bradb(AT)shore.net), Dec 27 2005