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

Author

Hugo Pfoertner, Sep 18 2003

Keywords

• nonn

Comments

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

Examples

			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
		

Links

• Eric Weisstein's World of Mathematics, Mordell Curve.

Crossrefs

Cf. A087285, A088017, A054504, A165289.