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Number of nX4 arrays of the minimum value of corresponding elements and their horizontal, vertical or antidiagonal neighbors in a random, but sorted with lexicographically nondecreasing rows and columns, 0..3 nX4 array
1

%I #4 Dec 25 2012 08:55:45

%S 20,114,1448,15360,149336,1346477,11432523,90627413,672437960,

%T 4724581523,31737220657,204660108794,1268432419949,7564543799888,

%U 43494599738604,241678326267770,1300626138728509,6792490340804235,34484471821861910

%N Number of nX4 arrays of the minimum value of corresponding elements and their horizontal, vertical or antidiagonal neighbors in a random, but sorted with lexicographically nondecreasing rows and columns, 0..3 nX4 array

%C Column 4 of A220931

%H R. H. Hardin, <a href="/A220928/b220928.txt">Table of n, a(n) for n = 1..210</a>

%e Some solutions for n=3

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

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

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

%K nonn

%O 1,1

%A _R. H. Hardin_ Dec 25 2012