login
The OEIS is supported by the many generous donors to the OEIS Foundation.

 

Logo
Hints
(Greetings from The On-Line Encyclopedia of Integer Sequences!)
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

Lookup | Welcome | Wiki | Register | Music | Plot 2 | Demos | Index | Browse | More | WebCam
Contribute new seq. or comment | Format | Style Sheet | Transforms | Superseeker | Recents
The OEIS Community | Maintained by The OEIS Foundation Inc.

License Agreements, Terms of Use, Privacy Policy. .

Last modified May 17 08:05 EDT 2022. Contains 353741 sequences. (Running on oeis4.)