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

%I #5 Apr 17 2022 22:16:34

%S 84,2748,811802,174413126,28236528076,3886911446418

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

%C Column 7 of A219373.

%e Some solutions for n=3

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

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

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

%Y Cf. A219373.

%K nonn

%O 1,1

%A _R. H. Hardin_, Nov 19 2012