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%I #4 Nov 28 2014 18:59:54
%S 599,3355,16208,71014,289407,1115035,4106983,14585505,50276307,
%T 169096201,557285131,1805934757,5771010913,18228909727,57028425739,
%U 176997241191,545747652023,1673691774773,5110255560737,15547067007197,47161606992989
%N Number of (n+1)X(3+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 Column 3 of A250942
%H R. H. Hardin, <a href="/A250937/b250937.txt">Table of n, a(n) for n = 1..210</a>
%F Empirical: a(n) = 24*a(n-1) -266*a(n-2) +1806*a(n-3) -8400*a(n-4) +28350*a(n-5) -71722*a(n-6) +138498*a(n-7) -205823*a(n-8) +235410*a(n-9) -205548*a(n-10) +134568*a(n-11) -63952*a(n-12) +20832*a(n-13) -4160*a(n-14) +384*a(n-15) for n>21
%e Some solutions for n=4
%e ..2..0..1..0....1..2..1..1....1..0..0..2....1..0..2..0....1..0..1..0
%e ..2..1..0..1....1..2..1..1....1..0..0..2....1..0..2..0....1..1..0..2
%e ..2..1..0..1....1..2..1..2....0..1..1..1....0..1..1..2....2..0..2..0
%e ..2..1..0..1....1..2..2..1....1..2..2..0....1..0..2..1....1..1..1..1
%e ..2..1..0..2....1..2..2..1....1..2..2..0....2..1..1..2....1..1..2..0
%K nonn
%O 1,1
%A _R. H. Hardin_, Nov 28 2014
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