OFFSET
1,2
COMMENTS
Eggleton et al. show that k is in this sequence if and only if A277515(k)=3.
REFERENCES
R. B. Eggleton, J. S. Kimberley and J. A. MacDougall, Square-free rank of integers, submitted.
LINKS
Jason Kimberley, Table of n, a(n) for n = 1..10000
Eric Weisstein's World of Mathematics, Beatty Sequence.
EXAMPLE
a(5)=6 because the quotient of 3*5^2 by 2 is 37 which lies between 6^2 and 7^2.
MATHEMATICA
Floor[Range[100]*Sqrt[3/2]] (* Paolo Xausa, Jul 11 2024 *)
PROG
(Magma) [Isqrt(3*n^2 div 2): n in [1..60]];
(PARI) a(n)=sqrtint(3*n^2\2) \\ Charles R Greathouse IV, Jul 11 2024
CROSSREFS
KEYWORD
nonn,easy
AUTHOR
Jason Kimberley, Oct 26 2016
STATUS
approved