%I
%S 16,380,29130,7041734,5507798734,13917264768542,113955406504401666,
%T 3023114826732726577928,259940094904908807764719054
%N Number of (n+1)X(n+1) 0..1 arrays with the sum of each 2X2 subblock maximum and minimum lexicographically nondecreasing columnwise and nonincreasing rowwise
%C Diagonal of A235736
%e Some solutions for n=3
%e ..1..0..1..0....1..0..1..0....1..1..0..1....0..1..1..0....1..0..1..0
%e ..1..0..0..1....1..0..0..1....0..1..0..1....1..1..0..0....0..1..1..0
%e ..0..1..0..0....0..1..0..1....0..1..0..1....0..0..1..0....0..0..1..1
%e ..1..0..0..1....0..1..0..1....1..0..0..0....1..1..0..0....0..1..1..0
%K nonn
%O 1,1
%A _R. H. Hardin_, Jan 15 2014
