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%I #4 Nov 29 2014 15:11:22
%S 612,4111,21955,104674,456514,1869400,7290819,27384143,99810933,
%T 355081380,1238282515,4247230905,14365389147,48012656399,158834880759,
%U 520810627308,1694515771864,5475830857755,17588753976895,56194112675498
%N Number of (3+1)X(n+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 Row 3 of A250994
%H R. H. Hardin, <a href="/A250997/b250997.txt">Table of n, a(n) for n = 1..210</a>
%F Empirical: a(n) = 10*a(n-1) -26*a(n-2) -49*a(n-3) +313*a(n-4) -148*a(n-5) -1278*a(n-6) +1613*a(n-7) +2503*a(n-8) -5004*a(n-9) -2294*a(n-10) +8211*a(n-11) +238*a(n-12) -8046*a(n-13) +1466*a(n-14) +4882*a(n-15) -1384*a(n-16) -1838*a(n-17) +564*a(n-18) +420*a(n-19) -109*a(n-20) -54*a(n-21) +8*a(n-22) +3*a(n-23)
%e Some solutions for n=4
%e ..2..0..1..0..2....0..1..0..2..0....1..2..1..0..0....1..0..0..1..1
%e ..2..0..0..2..0....0..0..2..0..2....1..2..2..1..1....1..0..0..1..2
%e ..2..1..2..0..2....0..1..0..2..0....1..2..2..1..1....1..0..0..2..1
%e ..2..1..2..0..1....0..0..1..0..2....1..2..2..1..2....1..0..0..2..1
%K nonn
%O 1,1
%A _R. H. Hardin_, Nov 29 2014
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