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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 nonincreasing columns, 0..3 n X n array
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%I #5 Dec 18 2015 18:18:22

%S 4,13,297,23506,4745284,3084196884,7921920681423

%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 nonincreasing columns, 0..3 n X n array

%C Diagonal of A219714

%e Some solutions for n=3

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

%e ..1..0..2....0..0..0....0..0..3....1..0..2....0..0..1....1..0..1....0..0..2

%e ..2..2..3....2..0..1....3..0..0....2..1..1....3..1..2....3..1..1....3..1..1

%K nonn

%O 1,1

%A _R. H. Hardin_ Nov 26 2012