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

%I #4 Dec 03 2012 09:52:19

%S 56,469,4415,74547,904715,10478150,115306521,1239077832,12886510259,

%T 128928018858,1239783637603,11475898062036,102697376249179,

%U 891984543522454,7542567812340359,62214784451259205,501183890732128843

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

%C Row 5 of A220044

%H R. H. Hardin, <a href="/A220048/b220048.txt">Table of n, a(n) for n = 1..20</a>

%e Some solutions for n=3

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

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

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

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

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

%K nonn

%O 1,1

%A _R. H. Hardin_ Dec 03 2012