A046040 Numbers that are the sum of 6 but no fewer positive cubes.

6, 13, 20, 34, 39, 41, 46, 48, 53, 58, 60, 69, 76, 79, 84, 86, 95, 98, 102, 104, 105, 110, 117, 121, 123, 124, 132, 139, 147, 151, 158, 165, 170, 173, 177, 184, 196, 202, 203, 210, 215, 221, 222, 228, 235, 236, 242, 247, 249, 263, 265, 268, 273, 275, 284, 287

Offset

1,1

Comments

According to the McCurley article, it is conjectured that there are exactly 3922 terms of which the largest is a(3922) = 1290740.

Links

T. D. Noe, Table of n, a(n) for n=1..3922

Jan Bohman and Carl-Erik Froberg, Numerical investigation of Waring's problem for cubes, Nordisk Tidskr. Informationsbehandling (BIT) 21 (1981), 118-122.

K. S. McCurley, An effective seven-cube theorem, J. Number Theory, 19 (1984), 176-183.

Eric Weisstein's World of Mathematics, Cubic Number.

Eric Weisstein's World of Mathematics, Waring's Problem.

Index entries for sequences related to sums of cubes

Mathematica

Select[Range[300], (pr = PowersRepresentations[#, 6, 3]; pr != {} && Count[pr, r_/; (Times @@ r) == 0] == 0)&] (* Jean-François Alcover, Jul 26 2011 *)

Crossrefs

Cf. A000578, A003325, A003072, A003327, A003328, A018890, A018889.

Sequence in context: A004919 A172330 A017053 * A330177 A227359 A056115

Adjacent sequences: A046037 A046038 A046039 * A046041 A046042 A046043

Keyword

nonn,fini

Author

Eric W. Weisstein

Extensions

Corrected by Arlin Anderson (starship1(AT)gmail.com).

Status

approved