A333884 Difference between smallest cube > n and n.

1, 7, 6, 5, 4, 3, 2, 1, 19, 18, 17, 16, 15, 14, 13, 12, 11, 10, 9, 8, 7, 6, 5, 4, 3, 2, 1, 37, 36, 35, 34, 33, 32, 31, 30, 29, 28, 27, 26, 25, 24, 23, 22, 21, 20, 19, 18, 17, 16, 15, 14, 13, 12, 11, 10, 9, 8, 7, 6, 5, 4, 3, 2, 1, 61, 60, 59, 58, 57, 56, 55, 54, 53, 52, 51, 50, 49, 48, 47, 46, 45

Offset: 0

Author

Ilya Gutkovskiy, Apr 08 2020

Keywords

• nonn

Comments

a(n) is the smallest positive number k such that n + k is a cube.

Links

• Michael De Vlieger, Table of n, a(n) for n = 0..9999

Crossrefs

Cf. A000578, A048763, A055400, A068527, A080883, A154840.

Programs

Mathematica

Table[Floor[n^(1/3) + 1]^3 - n, {n, 0, 80}]

Formula

a(n) = floor(n^(1/3) + 1)^3 - n.