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

%I #6 Mar 31 2012 12:35:55

%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