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%I #4 Apr 02 2013 06:50:36
%S 239,9503,119367,850875,4542734,20568693,83124099,306179180,
%T 1038489172,3266157979,9583669559,26387428383,68551067596,
%U 168889679757,396460357949,890533215416,1921389717480,3995624313351,8033215042947,15657425192703
%N Number of nX7 0..2 arrays with rows and antidiagonals unimodal and columns nondecreasing
%C Column 7 of A224262
%H R. H. Hardin, <a href="/A224261/b224261.txt">Table of n, a(n) for n = 1..210</a>
%F Empirical: a(n) = (118519/21794572800)*n^14 + (2257/124540416)*n^13 + (11489/13305600)*n^12 + (227251/47900160)*n^11 + (39637/777600)*n^10 + (458077/1451520)*n^9 + (169757921/76204800)*n^8 + (6354631/870912)*n^7 + (526598447/7257600)*n^6 + (85059797/2177280)*n^5 + (6141145069/8553600)*n^4 - (2165544719/1995840)*n^3 - (174076430267/75675600)*n^2 - (921446093/36036)*n + 109916 for n>8
%e Some solutions for n=3
%e ..0..0..2..2..1..0..0....0..0..1..1..0..0..0....0..1..1..1..1..2..1
%e ..1..2..2..2..2..1..0....0..1..1..1..1..1..0....1..2..2..2..2..2..2
%e ..2..2..2..2..2..2..1....2..2..2..2..2..2..1....1..2..2..2..2..2..2
%K nonn
%O 1,1
%A _R. H. Hardin_ Apr 02 2013