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

%I #5 Apr 17 2023 15:21:23

%S 120,2447,79295,4640546,201839765,9051330168

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

%C Row 7 of A220044.

%e Some solutions for n=3

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

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

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

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

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

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

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

%Y Cf. A220044.

%K nonn

%O 1,1

%A _R. H. Hardin_, Dec 03 2012