A077113 - OEIS

A077113

Number of integer cubes <= n^2.

1, 2, 2, 3, 3, 3, 4, 4, 5, 5, 5, 5, 6, 6, 6, 7, 7, 7, 7, 8, 8, 8, 8, 9, 9, 9, 9, 10, 10, 10, 10, 10, 11, 11, 11, 11, 11, 12, 12, 12, 12, 12, 13, 13, 13, 13, 13, 14, 14, 14, 14, 14, 14, 15, 15, 15, 15, 15, 15, 16, 16, 16, 16, 16, 17, 17, 17, 17, 17, 17, 17, 18, 18, 18, 18, 18, 18, 19

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OFFSET

0,2

COMMENTS

a(n) is the least number m such that m^3 > n^2. - Zak Seidov, May 03 2005

LINKS

Table of n, a(n) for n=0..77.

FORMULA

a(n) = floor(n^(2/3))+1.

a(n) = [x^(n^2)] (1/(1 - x))*Sum_{k>=0} x^(k^3). - Ilya Gutkovskiy, Apr 20 2018

EXAMPLE

Cubes <= 10^2: 0, 1, 8, 27 and 64, hence a(10)=5;