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Number of n X 4 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 n X 4 array.
1

%I #8 Nov 01 2014 03:11:20

%S 20,50,848,8337,74547,595862,4640546,35547836,263385608,1857934074,

%T 12439748110,79439449660,486913051008,2878634626483,16468443715880,

%U 91373937997461,492567100876598,2583758599155915,13206265883717876

%N Number of n X 4 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 n X 4 array.

%C Column 4 of A220044.

%H R. H. Hardin, <a href="/A220040/b220040.txt">Table of n, a(n) for n = 1..210</a>

%e Some solutions for n=3:

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

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

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

%Y Cf. A220044.

%K nonn

%O 1,1

%A _R. H. Hardin_, Dec 03 2012