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Number of n X n arrays of the minimum value of corresponding elements and their horizontal or antidiagonal neighbors in a random, but sorted with lexicographically nondecreasing rows and columns, 0..3 n X n array

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`%I #5 Dec 18 2015 18:18:21
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`%S 4,23,673,87083,43792361,86755752059,664221777830589
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`%N Number of n X n arrays of the minimum value of corresponding elements and their horizontal or antidiagonal neighbors in a random, but sorted with lexicographically nondecreasing rows and columns, 0..3 n X n array
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`%C Diagonal of A219471
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`%e Some solutions for n=3
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`%e ..0..0..2....0..0..0....0..0..2....0..0..2....0..0..0....1..1..2....2..2..2
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`%e ..1..1..1....0..0..1....2..2..3....1..1..2....0..0..0....2..3..3....2..1..1
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`%e ..2..1..2....3..1..1....3..0..0....2..0..0....0..0..0....3..3..3....3..0..0
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`%K nonn
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`%O 1,1
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`%A _R. H. Hardin_ Nov 20 2012
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