A339462 Numbers k such that (i*k)^(1/3) is an integer for some i in 1 <= i <= k.

1, 4, 8, 9, 16, 18, 24, 25, 27, 32, 36, 40, 48, 49, 50, 54, 56, 64, 72, 75, 81, 96, 98, 100, 108, 121, 125, 128, 135, 144, 147, 160, 162, 169, 180, 189, 192, 196, 200, 216, 224, 225, 242, 243, 245, 250, 256, 270, 288, 289, 294, 297, 300, 320, 324, 338, 343, 351, 352, 360

Offset

1,2

Links

Table of n, a(n) for n=1..60.

Example

18 is in the sequence since (18*12)^(1/3) = 6 (an integer), with 1 <= 12 <= 18.

Mathematica

Table[If[Sum[1 - Ceiling[(n*k)^(1/3)] + Floor[(n*k)^(1/3)], {k, n}] > 0, n, {}], {n, 400}] // Flatten

Crossrefs

Cf. A339497.

Sequence in context: A086368 A034024 A299117 * A140269 A339744 A226385

Adjacent sequences: A339459 A339460 A339461 * A339463 A339464 A339465

Keyword

nonn

Author

Wesley Ivan Hurt, Dec 27 2020

Status

approved