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Number of n X n arrays of the minimum value of corresponding elements and their horizontal, diagonal or antidiagonal neighbors in a random, but sorted with lexicographically nondecreasing rows and columns, 0..2 n X n array.
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%I #7 Nov 22 2023 21:05:02

%S 3,7,84,2275,143187,23986853,10160088596

%N Number of n X n arrays of the minimum value of corresponding elements and their horizontal, diagonal or antidiagonal neighbors in a random, but sorted with lexicographically nondecreasing rows and columns, 0..2 n X n array.

%C Diagonal of A219381.

%e Some solutions for n=3

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

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

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

%Y Cf. A219381.

%K nonn

%O 1,1

%A _R. H. Hardin_, Nov 19 2012