A396752 a(n) = n * floor(sqrt(n)).

0, 1, 2, 3, 8, 10, 12, 14, 16, 27, 30, 33, 36, 39, 42, 45, 64, 68, 72, 76, 80, 84, 88, 92, 96, 125, 130, 135, 140, 145, 150, 155, 160, 165, 170, 175, 216, 222, 228, 234, 240, 246, 252, 258, 264, 270, 276, 282, 288, 343, 350, 357, 364, 371, 378, 385, 392, 399, 406, 413, 420

Offset

0,3

Links

Table of n, a(n) for n=0..60.

Formula

a(n^2) = n^3.

Mathematica

a[n_]:=n*Floor[Sqrt[n]]; Array[a, 61, 0] (* Stefano Spezia, Jun 04 2026 *)

Prog

(Python)
from math import isqrt
def A396752(n): return n * isqrt(n)

Crossrefs

Cf. A000196, A028392, A117926.

Sequence in context: A028751 A325424 A057543 * A190650 A000059 A340301

Adjacent sequences: A396749 A396750 A396751 * A396755 A396756 A396757

Keyword

nonn,easy

Author

Aitzaz Imtiaz, Jun 04 2026

Extensions

a(0) prepended by and data corrected by Stefano Spezia, Jun 04 2026

Status

approved