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

0,2

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

Formula

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

Mathematica

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

Crossrefs

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

Sequence in context: A031099 A260933 A194755 * A055118 A132671 A340258

Adjacent sequences: A333881 A333882 A333883 * A333885 A333886 A333887

Keyword

nonn

Author

Ilya Gutkovskiy, Apr 08 2020

Status

approved