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Number of (n+1)X(n+1) 0..2 arrays with every 2X2 subblock diagonal minus antidiagonal sum nondecreasing horizontally and vertically
0

%I #4 Jan 01 2015 06:50:26

%S 81,1975,7782,15730,44242,147332,526430,1956194,7444718,28766354,

%T 112273790,441202754,1742089358

%N Number of (n+1)X(n+1) 0..2 arrays with every 2X2 subblock diagonal minus antidiagonal sum nondecreasing horizontally and vertically

%C Diagonal of A253456

%e Some solutions for n=4

%e ..1..1..0..0..1....1..1..2..1..2....1..1..1..1..0....2..2..2..2..2

%e ..2..2..1..1..2....0..0..1..0..1....1..1..1..1..0....1..1..1..1..1

%e ..2..2..1..1..2....0..0..1..0..1....2..2..2..2..1....0..0..0..0..0

%e ..2..2..1..1..2....1..1..2..1..2....1..1..1..1..0....1..1..1..1..1

%e ..1..1..0..0..2....0..0..1..0..2....2..2..2..2..2....0..0..0..0..0

%K nonn

%O 1,1

%A _R. H. Hardin_, Jan 01 2015