A077106 Largest integer cube <= n^2.

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

Offset

0,4

Links

Amiram Eldar, Table of n, a(n) for n = 0..10000

Formula

a(n) + A075847(n) = n^2.

a(n) = A100196(n)^3. - Amiram Eldar, Apr 06 2025

Example

a(20) = 343, as 343 = 7^3 is the largest cube <= 400 = 20^2.

Mathematica

a[n_] := Floor[Surd[n^2, 3]]^3; Array[a, 100, 0] (* Amiram Eldar, Apr 05 2025 *)

Crossrefs

Cf. A000578, A000290, A065733, A075847, A077107, A077110, A077113.

Sequence in context: A134314 A242891 A266209 * A255287 A257342 A252850

Adjacent sequences: A077103 A077104 A077105 * A077107 A077108 A077109

Keyword

nonn,easy

Author

Reinhard Zumkeller, Oct 29 2002

Status

approved