%I

%S 1,1,1,2,3,11,69,1056,12904,205011,3388897

%N Number of strings of numbers x(i=1..n) in 0..n with sum i^2*x(i)^3 equal to n^5

%C Diagonal of A184318

%e All solutions for n=5

%e ..0....1....0

%e ..0....5....0

%e ..0....0....5

%e ..0....4....5

%e ..5....4....0

%K nonn

%O 1,4

%A _R. H. Hardin_ Jan 10 2011