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%I #4 Nov 29 2014 15:01:10
%S 2359,16993,104674,590305,3184615,16694358,86049801,438901153,
%T 2225675881,11253642389,56849970930,287280128864,1453275978174,
%U 7362598702680,37362019821169,189912890923385,966879734108635,4929811135712749
%N Number of (n+1)X(4+1) 0..2 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 4 of A250994
%H R. H. Hardin, <a href="/A250990/b250990.txt">Table of n, a(n) for n = 1..210</a>
%F Empirical: a(n) = 40*a(n-1) -711*a(n-2) +7288*a(n-3) -46124*a(n-4) +170834*a(n-5) -219426*a(n-6) -1129470*a(n-7) +6427220*a(n-8) -11035580*a(n-9) -13723956*a(n-10) +91974432*a(n-11) -109618290*a(n-12) -189629820*a(n-13) +631396258*a(n-14) -183068484*a(n-15) -1390999379*a(n-16) +1537747960*a(n-17) +1495223679*a(n-18) -3261884392*a(n-19) -533559434*a(n-20) +3951765978*a(n-21) -543629952*a(n-22) -3192470270*a(n-23) +771907136*a(n-24) +1839709820*a(n-25) -380849348*a(n-26) -760753072*a(n-27) +49931112*a(n-28) +204082032*a(n-29) +26598976*a(n-30) -24620992*a(n-31) -8837760*a(n-32) -866304*a(n-33)
%e Some solutions for n=3
%e ..0..0..1..0..1....1..2..1..0..2....1..0..1..0..1....0..0..1..0..1
%e ..0..1..0..1..0....1..2..1..0..1....1..0..0..1..2....1..1..0..1..0
%e ..0..1..0..0..1....1..1..2..1..0....1..0..0..2..1....1..1..0..0..1
%e ..1..0..1..1..2....1..1..2..2..2....1..1..1..1..2....1..1..0..0..0
%K nonn
%O 1,1
%A _R. H. Hardin_, Nov 29 2014
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