%I #14 Aug 02 2017 10:36:17

%S 1,7,21,35,35,21,7,1,7,42,105,140,105,42,7,0,21,105,210,210,105,21,0,

%T 0,35,140,210,147,77,105,140,105,77,112,105,77,210,420,420,210,63,42,

%U 21,105,420,630,420,105,7,7,0,140,420,420,161,105,211,210,105,126,210,105,105,420,637,462,210,182,147,42,217,630,672,420,420,427,210,42

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

%C Order matters. This is the coefficient of q^n in the expansion of {Sum_{m>=0} q^(m^3)}^7.

%C It is known that a(n)>0 if n is even and > 454.

%H Seiichi Manyama, <a href="/A173676/b173676.txt">Table of n, a(n) for n = 0..10000</a>

%H N. D. Elkies, <a href="http://arxiv.org/abs/1009.3983">Every even number greater than 454 is the sum of seven cubes</a>, arXiv:1009.3983

%Y Cf. A004829, A008451.

%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,easy

%O 0,2

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