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Number of strings of numbers x(i=1..n) in 0..3 with sum i^2*x(i)^2 equal to n^2*9
1

%I #5 Mar 31 2012 12:35:58

%S 1,1,2,1,5,5,41,36,199,420,1377,4140,10728,36839,87400,283225,660812,

%T 1940633,4609045,12276261,29878104,73822900,181872899,428160287,

%U 1053371836,2416581766,5864707345,13309989382,31614183273,71451195226

%N Number of strings of numbers x(i=1..n) in 0..3 with sum i^2*x(i)^2 equal to n^2*9

%C Column 3 of A184240

%H R. H. Hardin, <a href="/A184234/b184234.txt">Table of n, a(n) for n = 1..52</a>

%e All solutions for n=5

%e ..3....0....2....0....3

%e ..3....0....2....0....2

%e ..2....0....2....3....2

%e ..3....0....3....3....2

%e ..0....3....1....0....2

%K nonn

%O 1,3

%A _R. H. Hardin_ Jan 10 2011