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Number of strings of numbers x(i=1..4) in 0..n with sum i^2*x(i)^3 equal to 16*n^3.
1

%I #7 Apr 09 2023 23:19:01

%S 1,2,1,2,1,2,1,2,1,2,1,2,1,2,1,2,1,2,2,3,1,2,1,2,1,3,1,2,1,2,1,2,1,2,

%T 2,2,4,4,1,5,2,2,2,3,1,2,3,2,5,3,1,6,4,2,2,3,2,3,2,3,7,3,1,4,1,2,6,3,

%U 1,3,3,2,3,5,1,4,6,3,3,6,1,3,2,2,2,6,1,3,5,2,5,2,1,5,6,2,7,10,1,5,7,2,9,9,2,8,1

%N Number of strings of numbers x(i=1..4) in 0..n with sum i^2*x(i)^3 equal to 16*n^3.

%C Row 4 of A184318.

%H R. H. Hardin, <a href="/A184319/b184319.txt">Table of n, a(n) for n = 1..200</a>

%e All solutions for n=5

%e ..0

%e ..0

%e ..0

%e ..5

%Y Cf. A184318.

%K nonn

%O 1,2

%A _R. H. Hardin_, Jan 10 2011