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A024981 Numbers that are the sum of 3 positive cubes, including repetitions. 3
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 (list; graph; refs; listen; history; text; internal format)
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: A296219 A063293 A270997 * 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

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Last modified November 22 03:20 EST 2019. Contains 329383 sequences. (Running on oeis4.)