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A077113 Number of integer cubes <= n^2. 3
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 (list; graph; refs; listen; history; text; internal format)
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;

MATHEMATICA

Table[Floor[n^(2/3) + 1], {n, 0, 100}] (* Zak Seidov, May 03 2005 *)

CROSSREFS

Cf. A077106, A026409, A026414, A054071, A077121.

Sequence in context: A273263 A274533 A163127 * A143796 A245473 A306904

Adjacent sequences:  A077110 A077111 A077112 * A077114 A077115 A077116

KEYWORD

nonn

AUTHOR

Reinhard Zumkeller, Oct 29 2002

EXTENSIONS

Edited by N. J. A. Sloane, Aug 29 2008 at the suggestion of R. J. Mathar

STATUS

approved

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Last modified July 22 20:51 EDT 2019. Contains 325226 sequences. (Running on oeis4.)