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

Author

Reinhard Zumkeller, Jun 03 2006

Keywords

• nonn

Comments

Intersection of A003072 and A000217.

Examples

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

Links

• Donovan Johnson, Table of n, a(n) for n = 1..6577
• Index entries for sequences related to sums of cubes

Crossrefs

Cf. A113958, A003108, A000578.

Programs

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 *)

Extensions

Two duplicated terms removed by Donovan Johnson, Apr 19 2011