A173678 - OEIS

%I #14 Jul 05 2021 00:23:50

%S 1,4,6,4,1,0,0,0,4,12,12,4,0,0,0,0,6,12,6,0,0,0,0,0,4,4,0,4,12,12,4,0,

%T 1,0,0,12,24,12,0,0,0,0,0,12,12,0,0,0,0,0,0,4,0,0,6,12,6,0,0,0,0,0,12,

%U 12,4,12,12,4,0,0,6,0,12,24,12,0,0,0,0,0,12,16,4,0,0,0,0,0,4,4,0,12,24,12,0,0,0,0,0,24,24,0,0,0,0,0,0,12,1,0,0

%N Number of ways of writing n as a sum of 4 nonnegative cubes.

%C Order matters. This is the coefficient of q^n in the expansion of {Sum_{m>=0} q^(m^3)}^4.

%H Seiichi Manyama, <a href="/A173678/b173678.txt">Table of n, a(n) for n = 0..10000</a>

%Y Cf. A004829, A008451, A010057, A173677, A051343, A173676.

%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.

%Y Without order you get A025448.

%K nonn,easy

%O 0,2

%A _N. J. A. Sloane_, Nov 24 2010