%I
%S 1,1,2,8,53,398,3539,34847,369777,4178324,49657281,615829513,
%T 7919376470,105084836323,1433178519184,20025465352373,285916536136122,
%U 4162074154247193,61656883471361641,928025931557339662
%N Number of strings of numbers x(i=1..n) in 0..n with sum i^2*x(i) equal to n^3
%C Diagonal of A183953
%H R. H. Hardin, <a href="/A183945/b183945.txt">Table of n, a(n) for n = 1..23</a>
%e All solutions for n=4
%e ..0....2....4....1....0....3....4....0
%e ..3....3....2....1....0....1....3....4
%e ..4....2....4....3....0....1....0....0
%e ..1....2....1....2....4....3....3....3
%K nonn
%O 1,3
%A _R. H. Hardin_ Jan 08 2011
