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Number of n X 5 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..2 n X 5 array.
1

%I #6 May 10 2021 00:49:48

%S 15,88,645,4559,34959,279304,2173203,16032779,111800304,739040657,

%T 4649261872,27940861285,160944594371,891059955504,4752920160872,

%U 24475451373463,121902117207744,588193576732660,2753698006392772

%N Number of n X 5 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..2 n X 5 array.

%C Column 5 of A220153.

%H R. H. Hardin, <a href="/A220150/b220150.txt">Table of n, a(n) for n = 1..111</a>

%e Some solutions for n=3

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

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

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

%Y Cf. A220153.

%K nonn

%O 1,1

%A _R. H. Hardin_ Dec 06 2012