A293650 Sum of two (possibly negative) cubes in at least 3 ways (primitive solutions).

728, 3367, 4104, 5859, 46683, 65728, 68913, 101528, 124488, 134379, 152551, 155736, 165464, 168112, 184464, 195841, 205352, 289224, 333944, 342657, 402597, 439101, 622232, 625177, 684019, 754299, 757701, 842751, 845208, 1009736, 1016496, 1062936, 1073375

Offset

1,1

Comments

Primitive means that the 6 summands are coprime. Not every term is the sum of two coprime cubes. a(1) = A047696(3).

Links

Rosalie Fay, Table of n, a(n) for n = 1..664

Example

4104 = 18^3 - 12^3 = 16^3 + 2^3 = 15^3 + 9^3, and 18, -12, 16, 2, 15, 9 are coprime, so 4104 is in the sequence.

Crossrefs

Cf. A051383 (all solutions); A003825 (positive cubes); A293651 (only coprime); A293645, A293647

Sequence in context: A234652 A050219 A051383 * A233962 A203672 A203665

Adjacent sequences: A293647 A293648 A293649 * A293651 A293652 A293653

Keyword

nonn

Author

Rosalie Fay, Oct 16 2017

Status

approved