A024981 Numbers that are the sum of 3 positive cubes, including repetitions.

3, 10, 17, 24, 29, 36, 43, 55, 62, 66, 73, 80, 81, 92, 99, 118, 127, 129, 134, 136, 141, 153, 155, 160, 179, 190, 192, 197, 216, 218, 225, 232, 244, 251, 251, 253, 258, 270, 277, 281, 288, 307, 314, 342, 344, 345, 349, 352, 359, 368, 371, 375, 378, 397, 405, 408, 415, 433

Offset

1,1

References

H. Davenport, Sums of three positive cubes, J. London Math. Soc., 25 (1950), 339-343. Coll. Works III p. 999.

Links

Bruno Berselli, Table of n, a(n) for n = 1..2000

Index entries for sequences related to sums of cubes

Example

An example of repetition: 251 shows twice, because 251 = 1^3+5^3+5^3 = 2^3+3^3+6^3. [Jean-François Alcover, Jul 31 2013]

Mathematica

m = 8; Sort[Select[Flatten[Table[x^3 + y^3 + z^3, {x, 1, m}, {y, x, m}, {z, y, m}]], # <= m^3 + 2 &]] (* T. D. Noe, Jul 30 2013 *)
max = 500; pr = Table[ PowersRepresentations[n, 3, 3], {n, 1, max}] // Flatten[#, 1]& // Select[#, Times @@ # != 0 &]&; Total[#^3] & /@ pr (* Jean-François Alcover, Jul 31 2013 - replaced my previous incorrect code *)

Crossrefs

Cf. A003072, A003325.

Sequence in context: A270997 A356058 A342280 * A003072 A025395 A047702

Adjacent sequences: A024978 A024979 A024980 * A024982 A024983 A024984

Keyword

nonn,easy,nice

Author

Clark Kimberling

Extensions

Corrected by David W. Wilson May 15 1997

Inserted a second 251 from T. D. Noe, Jul 30 2013

Status

approved