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%I #4 Apr 02 2013 14:46:35
%S 64,1600,13683,84132,442089,2059793,8626382,32788075,114177368,
%T 367630559,1103854119,3114501259,8312578140,21108455323,51251494995,
%U 119493052710,268514504126,583406544627,1229033304669,2516545359868,5019124209561
%N Number of 3Xn 0..3 arrays with diagonals and rows unimodal and antidiagonals nondecreasing
%C Row 3 of A224281
%H R. H. Hardin, <a href="/A224282/b224282.txt">Table of n, a(n) for n = 1..210</a>
%F Empirical: a(n) = (1/3629463552000)*n^18 + (1/80654745600)*n^17 + (1123/2092278988800)*n^16 + (37607/2615348736000)*n^15 + (1660537/5230697472000)*n^14 + (58097/11496038400)*n^13 + (870097/11496038400)*n^12 + (18766109/28740096000)*n^11 + (404719067/73156608000)*n^10 + (535345591/14631321600)*n^9 + (24473380931/160944537600)*n^8 + (549661909/449064000)*n^7 + (1232106541/768768000)*n^6 + (74468938879/3736212480)*n^5 + (59979142753/8717829120)*n^4 + (521837272841/9081072000)*n^3 + (1774626948209/5145940800)*n^2 - (140683661/117810)*n + 1114 for n>3
%e Some solutions for n=3
%e ..0..0..0....2..3..1....0..3..1....1..0..0....0..3..0....0..0..0....0..0..0
%e ..2..0..0....3..1..0....3..2..1....3..3..2....3..2..1....1..1..2....0..3..2
%e ..0..0..2....2..2..1....2..1..1....3..2..0....3..3..3....3..2..2....3..3..0
%K nonn
%O 1,1
%A _R. H. Hardin_ Apr 02 2013
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