%I
%S 44,217,1000,4535,20242,89677,395240,1736779,7617286,33369545,
%T 146077396,639173575,2795963426,12228336613,53475556816,233837032739,
%U 1022474657182,4470747289345,19547912489996,85470468806527,373705021918234
%N Number of (n+1)X(1+1) 0..2 arrays with nondecreasing min(x(i,j),x(i,j1)) in the i direction and nondecreasing min(x(i,j),x(i1,j)) in the j direction.
%H R. H. Hardin, <a href="/A250447/b250447.txt">Table of n, a(n) for n = 1..210</a>
%F Empirical: a(n) = 6*a(n1)  3*a(n2)  20*a(n3) + 6*a(n4) + 12*a(n5).
%F Empirical g.f.: x*(44  47*x  170*x^2 + 66*x^3 + 108*x^4) / ((1  x)*(1  2*x  2*x^2)*(1  3*x  6*x^2)).  _Colin Barker_, Nov 14 2018
%e Some solutions for n=6:
%e ..0..2....1..0....0..1....0..2....1..0....0..1....2..0....1..0....0..2....0..1
%e ..0..1....0..0....0..2....0..2....0..0....0..2....0..0....0..2....0..0....0..1
%e ..2..0....0..2....0..0....0..2....2..0....0..2....1..0....0..1....0..0....1..0
%e ..0..2....1..0....1..0....0..1....0..0....0..1....0..2....0..0....0..1....0..0
%e ..2..0....0..2....0..2....0..1....1..2....1..0....0..1....0..1....0..0....0..1
%e ..0..1....0..2....1..1....0..1....2..1....0..0....0..1....0..2....0..1....0..2
%e ..0..0....1..0....2..1....0..1....1..2....1..0....2..2....0..2....0..2....0..0
%Y Column 1 of A250454.
%K nonn
%O 1,1
%A _R. H. Hardin_, Nov 23 2014
