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%I #4 Nov 28 2014 19:01:11
%S 8189,67595,442409,2572787,13550488,65910564,300230097,1294549437,
%T 5327479262,21062394646,80424456334,297906525120,1074483995493,
%U 3785560272757,13063702554647,44264190982245,147573443440022
%N Number of (n+1)X(5+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 5 of A250942
%H R. H. Hardin, <a href="/A250939/b250939.txt">Table of n, a(n) for n = 1..210</a>
%F Empirical: a(n) = 40*a(n-1) -766*a(n-2) +9350*a(n-3) -81710*a(n-4) +544382*a(n-5) -2874850*a(n-6) +12352582*a(n-7) -43985920*a(n-8) +131537670*a(n-9) -333559974*a(n-10) +722313210*a(n-11) -1342220274*a(n-12) +2146926330*a(n-13) -2960548470*a(n-14) +3519770370*a(n-15) -3602697855*a(n-16) +3165299610*a(n-17) -2375783300*a(n-18) +1512910520*a(n-19) -809611616*a(n-20) +359318080*a(n-21) -129863296*a(n-22) +37239040*a(n-23) -8149760*a(n-24) +1278464*a(n-25) -128000*a(n-26) +6144*a(n-27) for n>37
%e Some solutions for n=2
%e ..0..1..1..0..1..1....1..0..0..1..0..1....0..1..0..1..0..1....2..1..0..0..0..2
%e ..1..2..0..1..2..0....0..1..1..0..1..0....0..1..0..1..0..2....2..1..0..0..1..1
%e ..1..2..0..1..2..2....0..2..2..1..2..2....0..2..1..0..1..1....2..1..0..1..2..2
%K nonn
%O 1,1
%A _R. H. Hardin_, Nov 28 2014
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