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A119977
Triangular numbers that can be written as sum of three positive cubes.
5
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.
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
KEYWORD
nonn
AUTHOR
Reinhard Zumkeller, Jun 03 2006
EXTENSIONS
Two duplicated terms removed by Donovan Johnson, Apr 19 2011
STATUS
approved