A237525 Numbers k such that the sum of digits of k^3 is a cube.

0, 1, 2, 5, 8, 10, 11, 20, 27, 33, 36, 39, 42, 50, 54, 57, 69, 72, 75, 78, 80, 84, 87, 93, 100, 101, 105, 108, 110, 111, 114, 135, 138, 147, 162, 165, 168, 174, 177, 200, 219, 222, 225, 228, 231, 234, 258, 267, 270, 273, 276, 285, 291, 294, 312

Offset

1,3

Comments

If k is in the sequence then so is 10*k. - David A. Corneth, May 26 2021

Links

David A. Corneth, Table of n, a(n) for n = 1..10866

Formula

a(n) = A053058(n)^(1/3).

Example

36^3 = 46656. DigitSum(46656) = 27 (also a cube). So, 36 is a member of this sequence.

Prog

(PARI) isok(n) = ispower(sumdigits(n^3), 3); \\ Michel Marcus, Feb 09 2014

Crossrefs

Cf. A061910, A007953, A004164, A053058.

Sequence in context: A153052 A352142 A338388 * A290578 A294127 A166955

Adjacent sequences: A237522 A237523 A237524 * A237526 A237527 A237528

Keyword

nonn,base

Author

Derek Orr, Feb 09 2014

Status

approved