A025401 Numbers that are the sum of 3 distinct positive cubes in exactly 3 ways.

5104, 9729, 12104, 12384, 14175, 17604, 17928, 20691, 21412, 21888, 24480, 28792, 29457, 30528, 31221, 32850, 34497, 36288, 38259, 39339, 39376, 40060, 40097, 40832, 40851, 41033, 41040, 41364, 42056, 43408, 45144, 46593, 46684, 46747, 46808, 47683

Offset: 1

Author

David W. Wilson

Keywords

• nonn

Links

• Chai Wah Wu, Table of n, a(n) for n = 1..11181

Crossrefs

Cf. A025397 (not necessarily distinct)

Programs

Mathematica

Reap[For[n = 1, n <= 50000, n++, pr = Select[ PowersRepresentations[n, 3, 3], Times @@ # != 0 && Length[#] == Length[Union[#]] &]; If[pr != {} && Length[pr] == 3, Print[n, pr]; Sow[n]]]][[2, 1]] (* Jean-François Alcover, Jul 31 2013 *)

Formula

{n: A025469(n) = 3}. - R. J. Mathar, Jun 15 2018