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%I #4 Mar 30 2013 09:10:23
%S 36,1296,31324,595822,9866389,150787422,2200064042,31256208954,
%T 437370837827,6067995150599,83782568814192,1153696422958020,
%U 15862451436172435,217909148559859942,2992039535598090819
%N Number of nX7 0..2 arrays with rows nondecreasing and antidiagonals unimodal
%C Column 7 of A224012
%H R. H. Hardin, <a href="/A224011/b224011.txt">Table of n, a(n) for n = 1..210</a>
%F Empirical: a(n) = 36*a(n-1) -505*a(n-2) +3667*a(n-3) -15271*a(n-4) +38113*a(n-5) -59621*a(n-6) +53813*a(n-7) -125335*a(n-8) +657330*a(n-9) -1326014*a(n-10) +2644047*a(n-11) +3529521*a(n-12) +7803900*a(n-13) +959690*a(n-14) +28175350*a(n-15) +27269532*a(n-16) +18725976*a(n-17) +1826832*a(n-18) +1263744*a(n-19)
%e Some solutions for n=3
%e ..0..0..0..0..1..1..1....0..0..0..0..2..2..2....0..0..0..0..1..2..2
%e ..0..0..0..0..2..2..2....0..0..0..1..2..2..2....1..1..1..1..1..1..1
%e ..0..0..0..0..0..1..1....0..1..1..1..1..1..1....0..0..0..0..1..1..1
%K nonn
%O 1,1
%A _R. H. Hardin_ Mar 30 2013
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