%I #5 Mar 31 2012 12:36:01
%S 1,2,6,14,34,74,154,304,580,1066,1901,3304,5610,9332,15241,24476,
%T 38721,60418,93088,141765,213590,318608,470873,689907,1002660,1446141,
%U 2070897,2945590,4163079,5848345,8168863,11348145,15683285,21567664,29520301
%N Number of strings of numbers x(i=1..n) in 0..3 with sum i*x(i) equal to n*3
%C Column 3 of A184703
%H R. H. Hardin, <a href="/A184697/b184697.txt">Table of n, a(n) for n = 1..200</a>
%e All solutions for n=4
%e ..0....1....3....1....0....2....2....1....3....3....0....0....2....2
%e ..3....2....0....0....2....0....2....1....3....1....0....1....1....3
%e ..2....1....3....1....0....2....2....3....1....1....0....2....0....0
%e ..0....1....0....2....2....1....0....0....0....1....3....1....2....1
%K nonn
%O 1,2
%A _R. H. Hardin_ Jan 20 2011