A173682 - OEIS

%I #12 Aug 02 2017 10:36:07

%S 1,9,36,84,126,126,84,36,18,73,252,504,630,504,252,72,45,252,756,1260,

%T 1260,756,252,36,84,504,1260,1689,1332,756,588,630,630,882,1332,1341,

%U 1134,1638,2520,2520,1638,1008,828,756,1638,3780,5040,3780,1596,504,252,588,2520,5040,5076,2772,1296,1332,1296,1386,2772,3816,2772,2142,3798,5121,4032

%N Number of ways of writing n as a sum of 9 nonnegative cubes.

%C Order matters. This is the coefficient of q^n in the expansion of {Sum_{m>=0} q^(m^3)}^9.

%H Seiichi Manyama, <a href="/A173682/b173682.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