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
Examples
a(20) = 343, as 343 = 7^3 is the largest cube <= 400 = 20^2.
Links
- Amiram Eldar, Table of n, a(n) for n = 0..10000
Programs
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Mathematica
a[n_] := Floor[Surd[n^2, 3]]^3; Array[a, 100, 0] (* Amiram Eldar, Apr 05 2025 *)
Formula
a(n) + A075847(n) = n^2.
a(n) = A100196(n)^3. - Amiram Eldar, Apr 06 2025