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Number of 5Xn arrays of the minimum value of corresponding elements and their horizontal, vertical or diagonal neighbors in a random, but sorted with lexicographically nondecreasing rows and nonincreasing columns, 0..2 5Xn array
1

%I #4 Nov 28 2012 16:56:57

%S 15,61,414,2237,11395,57848,283334,1322739,5913303,25562453,107535218,

%T 441227618,1766804332,6908136010,26396854433,98669023733,361096551789,

%U 1294776383753,4551637594734,15696174943041,53127052915296

%N Number of 5Xn arrays of the minimum value of corresponding elements and their horizontal, vertical or diagonal neighbors in a random, but sorted with lexicographically nondecreasing rows and nonincreasing columns, 0..2 5Xn array

%C Row 5 of A219816

%H R. H. Hardin, <a href="/A219819/b219819.txt">Table of n, a(n) for n = 1..25</a>

%e Some solutions for n=3

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

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

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

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

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

%K nonn

%O 1,1

%A _R. H. Hardin_ Nov 28 2012