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Number of 6Xn 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 6Xn array
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%I #3 Nov 20 2012 16:45:06

%S 84,1471,185800,17399442,1357658929,86755752059,4758315482104

%N Number of 6Xn 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 6Xn array

%C Row 6 of A219471

%e Some solutions for n=3

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

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

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

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

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

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

%K nonn

%O 1,1

%A _R. H. Hardin_ Nov 20 2012