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%I #6 Jan 22 2022 15:12:33
%S 530,1818,6230,21610,76110,270598,968942,3485538,12580830,45517150,
%T 164970110,598685226,2174802030,7906183238,28758522030,104655742642,
%U 380990823486,1387358367918,5053131325982,18408177907066,67069331582158
%N Number of (n+1) X (6+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.
%C Column 6 of A250797.
%H R. H. Hardin, <a href="/A250795/b250795.txt">Table of n, a(n) for n = 1..210</a>
%F Empirical: a(n) = 12*a(n-1) -49*a(n-2) +50*a(n-3) +165*a(n-4) -408*a(n-5) +a(n-6) +618*a(n-7) -224*a(n-8) -344*a(n-9) +108*a(n-10) +72*a(n-11).
%e Some solutions for n=4
%e ..1..1..1..1..0..0..1....1..0..0..1..0..0..1....1..0..0..0..1..0..1
%e ..1..1..1..1..0..1..0....1..0..0..1..0..1..0....0..1..1..1..0..1..0
%e ..1..1..1..1..0..0..1....1..0..0..0..1..0..1....0..1..1..1..1..0..1
%e ..1..1..1..1..0..1..0....1..0..0..1..0..1..0....0..1..1..1..1..0..0
%e ..1..1..1..1..0..1..1....1..0..0..1..0..1..1....0..1..1..1..1..0..1
%Y Cf. A250797.
%K nonn
%O 1,1
%A _R. H. Hardin_, Nov 27 2014
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