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%I #7 Nov 20 2018 11:41:11
%S 58,180,482,1190,2776,6230,13598,29084,61274,127630,263544,540558,
%T 1102982,2241420,4540290,9173622,18497880,37239590,74873806,150386236,
%U 301805898,605284030,1213273912,2430926110,4868936566,9749335980
%N Number of (3+1) X (n+1) 0..1 arrays with nondecreasing min(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.
%H R. H. Hardin, <a href="/A250800/b250800.txt">Table of n, a(n) for n = 1..210</a>
%F Empirical: a(n) = 5*a(n-1) - 8*a(n-2) + 3*a(n-3) + 3*a(n-4) - 2*a(n-5).
%F Empirical g.f.: 2*x*(29 - 55*x + 23*x^2 + 23*x^3 - 16*x^4) / ((1 - x)^2*(1 - 2*x)*(1 - x - x^2)). - _Colin Barker_, Nov 20 2018
%e Some solutions for n=4:
%e ..1..0..0..1..0....0..1..0..1..0....1..0..0..0..0....1..0..1..0..0
%e ..0..1..1..0..1....0..1..0..1..0....1..0..0..0..1....1..0..0..1..1
%e ..0..1..1..1..0....0..1..0..0..1....1..0..0..0..1....1..0..0..1..1
%e ..0..1..1..1..1....0..1..0..0..0....1..0..0..0..0....1..0..0..1..1
%Y Row 3 of A250797.
%K nonn
%O 1,1
%A _R. H. Hardin_, Nov 27 2014
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