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Number of (n+1)X(3+1) 0..3 arrays with every 2X2 subblock summing to a prime and those sums nondecreasing in every row and column

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`%I #4 Dec 02 2014 19:14:22
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`%S 2908,24182,183485,1096596,6216665,30592799,146035292,638001419,
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`%T 2737224051,11079334278,44353044487,170687762327,652521483414,
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`%U 2427683848801,8998599121783,32733059851689,118872959422881
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`%N Number of (n+1)X(3+1) 0..3 arrays with every 2X2 subblock summing to a prime and those sums nondecreasing in every row and column
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`%C Column 3 of A251481
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`%H R. H. Hardin, <a href="/A251477/b251477.txt">Table of n, a(n) for n = 1..210</a>
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`%H R. H. Hardin, <a href="/A251477/a251477.txt">Empirical recurrence of order 99</a>
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`%F Empirical recurrence of order 99 (see link above)
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`%e Some solutions for n=3
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`%e ..2..0..1..2....0..0..2..0....2..0..0..2....0..1..0..0....0..2..2..1
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`%e ..0..0..1..1....3..0..1..2....0..1..2..1....0..2..0..3....3..0..1..1
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`%e ..2..0..2..1....0..0..2..0....0..2..0..2....0..3..2..2....0..2..2..1
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`%e ..1..2..1..1....2..3..2..3....2..3..2..3....0..2..0..3....3..0..1..1
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`%K nonn
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`%O 1,1
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`%A _R. H. Hardin_, Dec 02 2014
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