A178489 a(n) = floor(n^(1/6)): integer part of sixth root of n.

0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2

Offset

0,65

Links

Table of n, a(n) for n=0..104.

Formula

G.f.: Sum_{k>=1} x^(k^6)/(1 - x). - Ilya Gutkovskiy, Dec 22 2016

Mathematica

Floor[Power[Range[0, 110], (6)^-1]] (* Harvey P. Dale, Jul 18 2011 *)

Prog

(PARI) A178489(n)=floor(sqrtn(n+.5, 6))
(PARI) a(n) = sqrtnint(n, 6); \\ Michel Marcus, Dec 22 2016

Crossrefs

Cf. A000196, A048766, A178487.

Sequence in context: A044928 A362114 A274070 * A044929 A000520 A044930

Adjacent sequences: A178486 A178487 A178488 * A178490 A178491 A178492

Keyword

easy,nonn

Author

M. F. Hasler, Oct 09 2010

Status

approved