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%I #6 Sep 04 2022 11:04:01
%S 85,557,3476,21753,135753,847278,5286723,32988493,205837420,
%T 1284368485,8014067309,50005407550,312018725543,1946903634993,
%U 12148095748212,75800483328529,472972331775681,2951205828148958,18414641259844987
%N Number of (n+1) X (3+1) 0..1 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 3 of A250468.
%H R. H. Hardin, <a href="/A250463/b250463.txt">Table of n, a(n) for n = 1..210</a>
%F Empirical: a(n) = 5*a(n-1) +14*a(n-2) -35*a(n-3) -37*a(n-4) +68*a(n-5) +30*a(n-6) -44*a(n-7) -8*a(n-8) +8*a(n-9).
%e Some solutions for n=5
%e ..0..1..0..0....0..0..1..0....0..0..0..0....0..0..0..0....1..0..0..0
%e ..1..0..1..0....1..0..0..1....0..0..0..0....0..0..0..0....0..0..0..0
%e ..0..0..0..1....0..1..0..0....0..0..1..0....0..0..0..1....1..0..0..1
%e ..1..0..0..0....1..0..0..0....0..1..0..1....0..0..0..0....0..1..0..1
%e ..0..0..0..0....0..0..0..1....0..0..0..0....0..0..0..1....0..0..0..1
%e ..1..1..0..1....0..0..1..0....0..0..1..0....1..0..1..1....1..0..0..1
%Y Cf. A250468.
%K nonn
%O 1,1
%A _R. H. Hardin_, Nov 23 2014
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