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Number of (n+1)X(3+1) 0..1 arrays with no 2X2 subblock having the minimum of its diagonal elements greater than the absolute difference of its antidiagonal elements
1

%I #4 Nov 30 2014 20:38:22

%S 171,1892,20782,228689,2515011,27662994,304255924,3346446223,

%T 36806732398,404828461391,4452610577279,48973192395914,

%U 538644351143299,5924419545393448,65161264266944558,716693058210959682

%N Number of (n+1)X(3+1) 0..1 arrays with no 2X2 subblock having the minimum of its diagonal elements greater than the absolute difference of its antidiagonal elements

%C Column 3 of A251228

%H R. H. Hardin, <a href="/A251223/b251223.txt">Table of n, a(n) for n = 1..210</a>

%F Empirical: a(n) = 8*a(n-1) +39*a(n-2) -48*a(n-3) -210*a(n-4) +88*a(n-5) +260*a(n-6) -199*a(n-7) +36*a(n-8)

%e Some solutions for n=3

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

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

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

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

%K nonn

%O 1,1

%A _R. H. Hardin_, Nov 30 2014