OFFSET
1,2
COMMENTS
Cao & Zhai prove that this sequence is infinite.
The asymptotic density of this sequence is 6/Pi^2 (A059956) (Cao and Zhai, 1998). - Amiram Eldar, Feb 17 2021
LINKS
Charles R Greathouse IV, Table of n, a(n) for n = 1..10000
Xiaodong Cao and Wenguang Zhai, The distribution of square-free numbers of the form [n^c], Journal de théorie des nombres de Bordeaux, Tome 10 (1998) no. 2 , p. 287-299.
MATHEMATICA
Select[Range[200], SquareFreeQ[Floor[#^(3/2)]]&] (* Harvey P. Dale, Aug 25 2017 *)
PROG
(PARI) isok(n) = issquarefree(sqrtint(n^3));
CROSSREFS
KEYWORD
nonn
AUTHOR
Michel Marcus, Mar 04 2017
STATUS
approved