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Number of 7Xn arrays of the minimum value of corresponding elements and their horizontal, vertical, diagonal or antidiagonal neighbors in a random, but sorted with lexicographically nondecreasing rows and nonincreasing columns, 0..3 7Xn array
0

%I #3 Nov 28 2012 13:13:24

%S 84,231,10448,279458,7667972,204182570

%N Number of 7Xn arrays of the minimum value of corresponding elements and their horizontal, vertical, diagonal or antidiagonal neighbors in a random, but sorted with lexicographically nondecreasing rows and nonincreasing columns, 0..3 7Xn array

%C Row 7 of A219802

%e Some solutions for n=3

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

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

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

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

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

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

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

%K nonn

%O 1,1

%A _R. H. Hardin_ Nov 28 2012