A055400 - OEIS

A055400

Cube excess: difference between n and largest cube <= n.

0, 0, 1, 2, 3, 4, 5, 6, 0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27, 28, 29, 30, 31, 32, 33, 34, 35, 36, 0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16

(list; graph; refs; listen; history; text; internal format)

OFFSET

0,4

LINKS

G. C. Greubel, Table of n, a(n) for n = 0..1000

FORMULA

a(n) = n - A048762(n) = n - floor(n^(1/3))^3.

a(n) < 3*n^(2/3) for n > 0. - Charles R Greathouse IV, Sep 02 2015

EXAMPLE

a(12) = 4 because 2^3 <= 12 < 3^3 and 12 - 2^3 = 4.

MAPLE

A055400 := proc(n)