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%I #4 Mar 29 2013 07:21:00
%S 10,100,666,3311,13347,45988,140236,387671,988447,2354539,5291652,
%T 11307388,23115717,45438234,86243127,158615577,283521156,493809754,
%U 839915122,1397838161,2280164963,3651068140,5746477482,8900889311
%N Number of 3Xn 0..2 arrays with rows and antidiagonals unimodal and columns nondecreasing
%C Row 3 of A223918
%H R. H. Hardin, <a href="/A223920/b223920.txt">Table of n, a(n) for n = 1..210</a>
%F Empirical: a(n) = (1/19160064)*n^12 + (5/3193344)*n^11 + (1627/43545600)*n^10 + (257/483840)*n^9 + (2309/414720)*n^8 + (19319/483840)*n^7 + (8701321/43545600)*n^6 + (971137/1451520)*n^5 + (3369229/2177280)*n^4 + (294809/120960)*n^3 + (652717/237600)*n^2 + (521/385)*n + 1
%e Some solutions for n=3
%e ..0..0..1....0..1..0....0..1..1....2..0..0....1..0..0....0..0..1....0..1..1
%e ..2..1..1....1..1..1....1..1..2....2..2..1....1..2..0....0..1..2....1..1..1
%e ..2..2..1....1..2..2....1..2..2....2..2..2....1..2..2....1..1..2....1..1..2
%K nonn
%O 1,1
%A _R. H. Hardin_ Mar 29 2013
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