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%I #4 Apr 05 2013 07:10:53
%S 239,10511,227112,3518302,48166179,644368221,8684742989,118171436342,
%T 1617034882854,22180823169132,304470584215636,4179566726619035,
%U 57366850907237080,787294489483452053,10803851806245324942
%N Number of nX7 0..2 arrays with rows unimodal and antidiagonals nondecreasing
%C Column 7 of A224374
%H R. H. Hardin, <a href="/A224373/b224373.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) for n>24
%e Some solutions for n=3
%e ..0..0..1..0..0..0..0....0..0..0..0..0..0..0....0..0..0..1..1..1..0
%e ..0..1..1..1..1..1..0....0..1..1..1..1..2..1....0..1..2..1..1..0..0
%e ..1..1..2..2..2..2..2....1..2..2..2..2..2..1....1..2..1..1..1..1..1
%K nonn
%O 1,1
%A _R. H. Hardin_ Apr 05 2013