A077107 Least integer cube >= n^2.

0, 1, 8, 27, 27, 27, 64, 64, 64, 125, 125, 125, 216, 216, 216, 343, 343, 343, 343, 512, 512, 512, 512, 729, 729, 729, 729, 729, 1000, 1000, 1000, 1000, 1331, 1331, 1331, 1331, 1331, 1728, 1728, 1728, 1728, 1728, 2197, 2197, 2197, 2197, 2197, 2744

Offset: 0

Author

Reinhard Zumkeller, Oct 29 2002

Keywords

• nonn
• easy

Examples

			a(20) = 512, as 512 = 8^3 is the least cube >= 400 = 20^2.
		

Links

• Harvey P. Dale, Table of n, a(n) for n = 0..1000

Crossrefs

Cf. A000578, A000290, A048763, A070923, A077106, A077115, A077110, A121536,

Programs

Mathematica

Table[Ceiling[Surd[n^2,3]]^3,{n,0,50}] (* Harvey P. Dale, Jan 02 2020 *)

Formula

a(n) - A070923(n) = n^2.

a(n) = A121536(n)^3. - Amiram Eldar, May 17 2025

a(n) = A048763(n^2). - Michel Marcus, May 17 2025