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Number of 4Xn 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 4Xn array
1

%I #4 Nov 23 2012 10:47:32

%S 20,181,2234,18564,140884,1052190,7579137,51585784,331270888,

%T 2024909124,11885134942,67329174131,369027185265,1959956349517,

%U 10103702621330,50645615019582,247273236084923,1177685989979054,5478135751536604

%N Number of 4Xn 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 4Xn array

%C Row 4 of A219578

%H R. H. Hardin, <a href="/A219581/b219581.txt">Table of n, a(n) for n = 1..110</a>

%e Some solutions for n=3

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

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

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

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

%K nonn

%O 1,1

%A _R. H. Hardin_ Nov 23 2012