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%I #7 Sep 04 2022 15:15:27
%S 1,1,1,1,2,2,6,30,69,230,662,2244,6197,20782,57963,185236,534294,
%T 1636436,4788888,14148505,41505698,119551191,347802192,984873101,
%U 2823972122,7899999963,22281193586,61710573450,171287868395,469925476292
%N Number of strings of numbers x(i=1..n) in 0..3 with sum i^2*x(i)^3 equal to n^2*27.
%C Column 3 of A184318.
%H R. H. Hardin, <a href="/A184312/b184312.txt">Table of n, a(n) for n = 1..40</a>
%e All solutions for n=5
%e ..0....0
%e ..0....0
%e ..3....0
%e ..3....0
%e ..0....3
%Y Cf. A184318.
%K nonn
%O 1,5
%A _R. H. Hardin_, Jan 10 2011