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%I #4 Nov 28 2014 19:04:52
%S 125,699,3355,15431,67595,287045,1188599,4827913,19308213,76254749,
%T 298049037,1154930779,4442888465,16986179207,64600876511,244577899139,
%U 922363567903,3466733140929,12991657380635,48562243341429
%N Number of (2+1)X(n+1) 0..2 arrays with nondecreasing x(i,j)+x(i,j-1) in the i direction and nondecreasing absolute value of x(i,j)-x(i-1,j) in the j direction
%C Row 2 of A250942
%H R. H. Hardin, <a href="/A250944/b250944.txt">Table of n, a(n) for n = 1..210</a>
%F Empirical: a(n) = 10*a(n-1) -29*a(n-2) -6*a(n-3) +136*a(n-4) -90*a(n-5) -217*a(n-6) +186*a(n-7) +143*a(n-8) -124*a(n-9) -32*a(n-10) +24*a(n-11)
%e Some solutions for n=4
%e ..0..0..1..0..0....2..0..2..0..1....0..1..2..1..1....1..1..1..0..2
%e ..0..1..0..1..1....1..1..1..1..0....1..2..1..2..0....0..2..2..1..1
%e ..0..2..1..2..2....0..2..0..2..1....2..1..2..1..1....0..2..2..1..1
%K nonn
%O 1,1
%A _R. H. Hardin_, Nov 28 2014
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