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Number of ways of writing n as a sum of 5 nonnegative cubes.
12

%I #12 Aug 02 2017 10:36:26

%S 1,5,10,10,5,1,0,0,5,20,30,20,5,0,0,0,10,30,30,10,0,0,0,0,10,20,10,5,

%T 20,30,20,5,5,5,0,20,60,60,20,0,1,0,0,30,60,30,0,0,0,0,0,20,20,0,10,

%U 30,30,10,0,5,0,0,30,60,35,20,30,20,5,0,30,30,20,60,60,20,0,0,10,0,30,70,50,10,0,0,0,0,20,40,20,20,60,60,20,0,5,10,0,60,120

%N Number of ways of writing n as a sum of 5 nonnegative cubes.

%C Order matters. This is the coefficient of q^n in the expansion of {Sum_{m>=0} q^(m^3)}^5.

%H Seiichi Manyama, <a href="/A173679/b173679.txt">Table of n, a(n) for n = 0..10000</a>

%Y Cf. A173677.

%Y Sums of k cubes, number of ways of writing n as, for k=1..9: A010057, A173677, A051343, A173678, A173679, A173680, A173676, A173681, A173682.

%K nonn

%O 0,2

%A _N. J. A. Sloane_, Nov 25 2010