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A333884
Difference between smallest cube > n and n.
1
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
FORMULA
a(n) = floor(n^(1/3) + 1)^3 - n.
MATHEMATICA
Table[Floor[n^(1/3) + 1]^3 - n, {n, 0, 80}]
CROSSREFS
KEYWORD
nonn
AUTHOR
Ilya Gutkovskiy, Apr 08 2020
STATUS
approved