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Number of 5 X n arrays of the minimum value of corresponding elements and their horizontal or vertical neighbors in a random, but sorted with lexicographically nondecreasing rows and nonincreasing columns, 0..3 5 X n array.
1

%I #6 May 20 2021 13:08:35

%S 35,469,10226,154271,2399643,37870076,572032559,8149176569,

%T 110008377356,1424439640957,17826267898586,216055586651741,

%U 2537135778319984,28899590040564560,319930214921175607,3449081018413313507

%N Number of 5 X n arrays of the minimum value of corresponding elements and their horizontal or vertical neighbors in a random, but sorted with lexicographically nondecreasing rows and nonincreasing columns, 0..3 5 X n array.

%C Row 5 of A219578.

%H R. H. Hardin, <a href="/A219582/b219582.txt">Table of n, a(n) for n = 1..30</a>

%e Some solutions for n=3

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

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

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

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

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

%Y Cf. A219578.

%K nonn

%O 1,1

%A _R. H. Hardin_ Nov 23 2012