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Number of strings of numbers x(i=1..n) in 0..3 with sum i^2*x(i)^3 equal to n^2*27.
2

%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