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

%I #3 Dec 03 2012 05:51:08

%S 84,637,32575,1209492,45252407,1728522691

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

%C Row 7 of A220010

%e Some solutions for n=3

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

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

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

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

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

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

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

%K nonn

%O 1,1

%A _R. H. Hardin_ Dec 03 2012