%I #9 Sep 14 2020 15:23:03
%S 0,0,1,1,1,1,1,1,1,2,2,2,2,2,2,2,3,3,3,3,3,3,3,4,4,4,4,4,5,5,5,5,5,5,
%T 5,6,6,6,6,6,6,6,7,7,7,7,7,7,7,7,7,7,7,7,8,8,8,8,8,8,8,9,9,9,9,10,10,
%U 10,10,10,10,10,11,11,11,11,11,11,11,12,13,13,13,13,13,13,13,13,13,13,13,14,14
%N Number of different numbers <= n that are sums of 3 positive cubes.
%D H. Davenport, Sums of three positive cubes, J. London Math. Soc., 25 (1950), 339-343. Coll. Works III p. 999.
%t Accumulate[Table[If[Length[Select[PowersRepresentations[n,3,3],FreeQ[ #,0]&]]>0,1,0],{n,100}]] (* _Harvey P. Dale_, Sep 14 2020 *)
%Y Cf. A003072.
%K nonn
%O 1,10
%A _N. J. A. Sloane_, _David W. Wilson_