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%I #4 Nov 29 2014 17:22:30
%S 110,636,3550,19112,100633,521227,2668193,13542602,68311293,343015588,
%T 1716691283,8570575548,42711665448,212572160545,1056914848048,
%U 5251194542976,26076089668884,129435530296444,642297106204276
%N Number of (n+1)X(1+1) 0..3 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 1 of A251037
%H R. H. Hardin, <a href="/A251030/b251030.txt">Table of n, a(n) for n = 1..210</a>
%F Empirical: a(n) = 12*a(n-1) -46*a(n-2) +40*a(n-3) +111*a(n-4) -168*a(n-5) -110*a(n-6) +172*a(n-7) +95*a(n-8) -52*a(n-9) -48*a(n-10) -12*a(n-11) -a(n-12)
%e Some solutions for n=4
%e ..0..3....0..3....0..3....0..3....2..0....0..2....0..3....3..0....0..1....1..0
%e ..1..2....0..0....0..2....2..1....0..2....0..3....0..0....2..1....0..2....1..2
%e ..2..1....0..1....0..3....2..1....0..3....2..0....0..1....2..1....1..0....2..3
%e ..1..3....0..3....0..3....2..1....1..0....0..3....0..1....1..3....3..3....2..2
%e ..2..1....1..0....2..0....1..2....3..3....0..1....1..0....1..1....3..3....3..3
%K nonn
%O 1,1
%A _R. H. Hardin_, Nov 29 2014
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