A322102 Numbers that can be written as the average of two positive cubes in more than one way.

2052, 6916, 16416, 19656, 32116, 32864, 55328, 55404, 82732, 85644, 131328, 157248, 160132, 186732, 256500, 256928, 262912, 402844, 442624, 443232, 477508, 497344, 504868, 508248, 530712, 537516, 546364, 597556, 661856, 665532, 685152, 703836, 783364, 804636

Offset

1,1

Comments

The first term with 3 representations is 59912244, which is equal to (11^3 + 493^3)/2, (90^3 + 492^3)/2, and (346^3 + 428^3)/2.

Links

Table of n, a(n) for n=1..34.

Example

2052 is a term because it is equal to (2^3 + 16^3)/2 and (9^3 + 15^3)/2.

Mathematica

Select[Range[10^5], Length[PowersRepresentations[2 #, 2, 3]] > 1 &]

Crossrefs

Cf. A268319, A267477.

Sequence in context: A224721 A224720 A320277 * A206068 A280021 A168190

Adjacent sequences: A322099 A322100 A322101 * A322103 A322104 A322105

Keyword

nonn

Author

Giovanni Resta, Nov 26 2018

Status

approved