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

%I #3 Dec 01 2012 18:02:28

%S 120,2670,248881,20434119,1523159314,105577880961

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

%C Row 7 of A219939

%e Some solutions for n=3

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

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

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

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

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

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

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

%K nonn

%O 1,1

%A _R. H. Hardin_ Dec 01 2012