OFFSET
0,4
EXAMPLE
a(10)=125, as 125=5^3 is the nearest cube to 100=10^2.
MATHEMATICA
nic[n_]:=Module[{n2=n^2, s3, c1, c2}, s3=Surd[n2, 3]; c1=Floor[s3]^3; c2= Ceiling[ s3]^3; If[n2-c1<c2-n2, c1, c2]]; Array[nic, 50, 0] (* Harvey P. Dale, Jul 05 2015 *)
PROG
(Python)
from sympy import integer_nthroot
def A077110(n):
n2 = n**2
a = integer_nthroot(n2, 3)[0]
a2, a3 = a**3, (a+1)**3
return a3 if a3+a2-2*n2 < 0 else a2 # Chai Wah Wu, Sep 24 2021
CROSSREFS
KEYWORD
nonn
AUTHOR
Reinhard Zumkeller, Oct 29 2002
STATUS
approved