%I #5 Mar 31 2012 12:36:01
%S 1,3,9,28,78,207,504,1169,2574,5439,11071,21841,41846,78193,142787,
%T 255441,448444,773966,1314861,2201731,3637642,5935817,9574284,
%U 15277075,24130784,37755124,58545388,90021407,137320211,207895383,312495662
%N Number of strings of numbers x(i=1..n) in 0..4 with sum i*x(i) equal to n*4
%C Column 4 of A184703
%H R. H. Hardin, <a href="/A184698/b184698.txt">Table of n, a(n) for n = 1..170</a>
%e Some solutions for n=6
%e ..2....3....3....3....1....3....4....2....2....0....2....3....3....4....1....1
%e ..4....1....3....0....0....2....0....0....3....0....1....0....2....2....4....3
%e ..2....3....2....0....3....4....0....4....0....0....1....3....1....0....0....2
%e ..2....1....1....4....1....0....0....1....0....3....0....0....1....0....1....0
%e ..0....0....1....1....2....1....4....0....2....0....1....0....2....2....1....1
%e ..0....1....0....0....0....0....0....1....1....2....2....2....0....1....1....1
%K nonn
%O 1,2
%A _R. H. Hardin_ Jan 20 2011