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Number of (n+2)X(n+2) 0..1 arrays with every 3X3 subblock diagonal maximum minus antidiagonal minimum nondecreasing horizontally, vertically and ne-to-sw antidiagonally
1

%I #5 Jan 17 2015 09:40:37

%S 512,31632,3939840,1052857184,633276761856,896906647300128,

%T 2875255935248467200,21455396352019560697376,

%U 370924232864752698632296192,14893383155687607471120823056160,1383367306744696268677387801027845376

%N Number of (n+2)X(n+2) 0..1 arrays with every 3X3 subblock diagonal maximum minus antidiagonal minimum nondecreasing horizontally, vertically and ne-to-sw antidiagonally

%C Diagonal of A253871

%H R. H. Hardin, <a href="/A253864/b253864.txt">Table of n, a(n) for n = 1..13</a>

%e Some solutions for n=2

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

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

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

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

%K nonn

%O 1,1

%A _R. H. Hardin_, Jan 17 2015