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Number of (n+1) X (n+1) 0..1 arrays with every 2 X 2 subblock diagonal minimum minus antidiagonal minimum nondecreasing horizontally and diagonal maximum minus antidiagonal maximum nondecreasing vertically.
0

%I #6 Jun 17 2021 14:14:07

%S 16,132,494,1498,3936,9630,22656,52110,118182,265458,591924,1311966,

%T 2892738,6348402,13873152,30199422,65504766,141618834,305248332,

%U 656098110

%N Number of (n+1) X (n+1) 0..1 arrays with every 2 X 2 subblock diagonal minimum minus antidiagonal minimum nondecreasing horizontally and diagonal maximum minus antidiagonal maximum nondecreasing vertically.

%C Diagonal of A253231.

%e Some solutions for n=4

%e ..0..1..1..1..0....1..1..1..0..1....0..1..1..0..0....0..1..1..1..1

%e ..0..1..1..1..0....1..1..1..0..0....0..1..1..0..0....0..1..1..1..1

%e ..0..1..1..1..0....1..1..1..0..0....1..1..1..0..0....0..1..1..1..1

%e ..1..1..1..1..0....1..1..1..0..0....1..1..1..0..0....1..1..0..0..0

%e ..0..0..0..1..1....1..0..0..0..0....1..0..0..0..1....0..0..0..0..0

%Y Cf. A253231.

%K nonn

%O 1,1

%A _R. H. Hardin_, Dec 29 2014