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

%I #5 Dec 31 2014 07:21:48

%S 16,102,174,346,666,1318,2726,5396,11392,22634,47926,95464,201644,

%T 402272,846688,1690724,3546388,7086130,14818262,29621624,61778428,

%U 123532896,257035176,514085752,1067445536,2135305688,4425565336,8853923848

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

%C Diagonal of A253397

%H R. H. Hardin, <a href="/A253390/b253390.txt">Table of n, a(n) for n = 1..69</a>

%e Some solutions for n=4

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

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

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

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

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

%K nonn

%O 1,1

%A _R. H. Hardin_, Dec 31 2014