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Number of (n+1)X(2+1) 0..2 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 11:57:53

%S 470,8407,148833,2644832,46958048,833966807,14810089440,263012232516,

%T 4670807329618,82948521103259,1473076057445537,26160241273743965,

%U 464577643321668439,8250397474900690408,146518153252603690037

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

%C Column 2 of A251158

%H R. H. Hardin, <a href="/A251152/b251152.txt">Table of n, a(n) for n = 1..210</a>

%F Empirical: a(n) = 17*a(n-1) +42*a(n-2) -498*a(n-3) -335*a(n-4) +3258*a(n-5) +529*a(n-6) -8805*a(n-7) +550*a(n-8) +7570*a(n-9) +519*a(n-10) -2235*a(n-11) +561*a(n-12) +567*a(n-13) -134*a(n-14) -64*a(n-15) +8*a(n-16)

%e Some solutions for n=3

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

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

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

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

%K nonn

%O 1,1

%A _R. H. Hardin_, Nov 30 2014