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Number of (n+1)X(n+1) 0..1 arrays with every 2X2 subblock sum nondecreasing horizontally, vertically and antidiagonally ne-to-sw
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%I #4 Dec 30 2014 11:45:10

%S 16,126,1217,7744,58505,283804,1660088,6753250,32941939,123940122,

%T 544975707,2033911736,8556436417,32990467558,137911795230

%N Number of (n+1)X(n+1) 0..1 arrays with every 2X2 subblock sum nondecreasing horizontally, vertically and antidiagonally ne-to-sw

%C Diagonal of A253326

%e Some solutions for n=4

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

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

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

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

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

%K nonn

%O 1,1

%A _R. H. Hardin_, Dec 30 2014