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%I #4 Mar 31 2013 20:31:10
%S 130,3526,38561,272130,1460836,6425876,24197608,80350989,240416852,
%T 658890738,1675303647,3992383968,8991162356,19265941324,39500748718,
%U 77861024489,148143119762,273013479180,488783426991,852309147046
%N Number of nX4 0..3 arrays with rows and antidiagonals unimodal and columns nondecreasing
%C Column 4 of A224173
%H R. H. Hardin, <a href="/A224169/b224169.txt">Table of n, a(n) for n = 1..210</a>
%F Empirical: a(n) = (3551/47900160)*n^12 + (17561/13305600)*n^11 + (376693/21772800)*n^10 + (106499/725760)*n^9 + (229093/290304)*n^8 + (4775993/1209600)*n^7 + (239805679/21772800)*n^6 + (2313469/80640)*n^5 + (85217281/1088640)*n^4 - (37150333/907200)*n^3 - (7297121/207900)*n^2 + (474241/1386)*n - 383 for n>3
%e Some solutions for n=3
%e ..0..0..1..1....0..1..1..0....3..1..1..0....0..2..1..1....0..2..2..0
%e ..1..2..2..3....0..3..2..1....3..3..3..3....3..2..2..1....0..3..3..0
%e ..2..2..2..3....2..3..2..2....3..3..3..3....3..3..3..1....2..3..3..0
%K nonn
%O 1,1
%A _R. H. Hardin_ Mar 31 2013
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