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%I #4 Nov 28 2014 19:00:36
%S 2247,15431,87529,444421,2067987,8976385,36809498,144007880,541598982,
%T 1969991292,6964460154,24028268136,81182285391,269383972831,
%U 880117983928,2837311053260,9042403815092,28535164299486,89292416423582
%N Number of (n+1)X(4+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 4 of A250942
%H R. H. Hardin, <a href="/A250938/b250938.txt">Table of n, a(n) for n = 1..210</a>
%F Empirical: a(n) = 32*a(n-1) -484*a(n-2) +4602*a(n-3) -30861*a(n-4) +155214*a(n-5) -607776*a(n-6) +1898436*a(n-7) -4807563*a(n-8) +9976284*a(n-9) -17075340*a(n-10) +24182082*a(n-11) -28338375*a(n-12) +27397590*a(n-13) -21713520*a(n-14) +13959072*a(n-15) -7163424*a(n-16) +2864448*a(n-17) -859904*a(n-18) +182272*a(n-19) -24320*a(n-20) +1536*a(n-21) for n>29
%e Some solutions for n=3
%e ..1..1..0..1..0....1..2..0..0..2....2..1..0..0..1....1..2..1..0..0
%e ..1..1..0..1..0....2..1..1..2..0....1..2..1..1..0....1..2..2..1..1
%e ..2..0..1..0..2....2..2..2..1..1....2..1..2..0..1....1..2..2..1..1
%e ..2..0..1..0..2....2..2..2..1..2....2..1..2..0..1....1..2..2..1..2
%K nonn
%O 1,1
%A _R. H. Hardin_, Nov 28 2014
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