A087286 Possible differences between a square and the closest smaller cube.

1, 3, 8, 9, 12, 15, 17, 18, 19, 22, 24, 30, 36, 37, 38, 40, 44, 55, 57, 64, 65, 68, 71, 73, 79, 80, 89, 97, 98, 100, 101, 106, 107, 108, 112, 113, 119, 121, 128, 129, 138, 141, 145, 148, 151, 154, 156, 161, 163, 164, 168, 169, 171, 172, 190, 196, 197, 198, 204, 208

Offset

1,2

Comments

Integers of the form m^2 - floor((m^2-1)^(1/3))^3 for integer m.

Links

Table of n, a(n) for n=1..60.

Eric Weisstein's World of Mathematics, Mordell Curve.

Example

2^2-1^3=3, 3^2-2^3=1, 4^2-2^3=8, 5^2-2^3=17, 6^2-3^3=9, 7^2-3^3=22,...,
1138^2-109^3=15

Crossrefs

Cf. A087285, A088017, A054504, A165289.

Sequence in context: A139491 A084387 A080761 * A165289 A066494 A082721

Adjacent sequences: A087283 A087284 A087285 * A087287 A087288 A087289

Keyword

nonn

Author

Hugo Pfoertner, Sep 18 2003

Status

approved