A119977 Triangular numbers that can be written as sum of three positive cubes.

3, 10, 36, 55, 66, 136, 153, 190, 253, 378, 496, 528, 820, 946, 1035, 1128, 1485, 3240, 3403, 3655, 4950, 5886, 6903, 7750, 8128, 8256, 9316, 10440, 12403, 13203, 13861, 14365, 14535, 15051, 15753, 16290, 17020, 17205, 17578, 18915

Offset

1,1

Comments

Intersection of A003072 and A000217.

Links

Donovan Johnson, Table of n, a(n) for n = 1..6577

Index entries for sequences related to sums of cubes

Example

153 = 17*(17+1)/2 = 5^3 + 3^3 + 1^3, therefore 153 is a term.

Mathematica

Lim=20000; Tlim=Sqrt[2Lim]; Clim=Lim^(1/3); Select[Table[n(n+1)/2, {n, Tlim}], MemberQ[Total/@Tuples[Range[Clim]^3, 3], #]&] (* James C. McMahon, Sep 23 2024 *)

Crossrefs

Cf. A113958, A003108, A000578.

Sequence in context: A375337 A351011 A351009 * A319733 A075316 A192142

Adjacent sequences: A119974 A119975 A119976 * A119978 A119979 A119980

Keyword

nonn

Author

Reinhard Zumkeller, Jun 03 2006

Extensions

Two duplicated terms removed by Donovan Johnson, Apr 19 2011

Status

approved