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Number of (n+1)X(4+1) 0..2 arrays with nondecreasing min(x(i,j),x(i,j-1)) in the i direction and nondecreasing min(x(i,j),x(i-1,j)) in the j direction
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%I #4 Nov 23 2014 12:37:11

%S 4535,141857,3865967,104578590,2750712613,71984404630,1868402502223,

%T 48446319776685,1253388924506698,32426207385598948,838397988936401847,

%U 21678843535834780799,560468876574353975606,14490586947154204948722

%N Number of (n+1)X(4+1) 0..2 arrays with nondecreasing min(x(i,j),x(i,j-1)) in the i direction and nondecreasing min(x(i,j),x(i-1,j)) in the j direction

%C Column 4 of A250454

%H R. H. Hardin, <a href="/A250450/b250450.txt">Table of n, a(n) for n = 1..210</a>

%H R. H. Hardin, <a href="/A250450/a250450.txt">Empirical recurrence of order 50</a>

%F Empirical recurrence of order 50 (see link above)

%e Some solutions for n=2

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

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

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

%K nonn

%O 1,1

%A _R. H. Hardin_, Nov 23 2014