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

%I #4 Nov 19 2012 05:39:01

%S 20,193,4544,82312,1205110,15255786,174413126,1833703485,17851830403,

%T 162110334518,1382147742410,11129262089553,85066986799604,

%U 620037528588182,4327291721344252,29022486132474116,187651131559524364

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

%C Column 4 of A219373

%H R. H. Hardin, <a href="/A219369/b219369.txt">Table of n, a(n) for n = 1..90</a>

%e Some solutions for n=3

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

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

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

%K nonn

%O 1,1

%A _R. H. Hardin_ Nov 19 2012