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A077115
Least integer square >= n^3.
6
0, 1, 9, 36, 64, 144, 225, 361, 529, 729, 1024, 1369, 1764, 2209, 2809, 3481, 4096, 5041, 5929, 6889, 8100, 9409, 10816, 12321, 13924, 15625, 17689, 19881, 22201, 24649, 27225, 29929, 33124, 36100, 39601, 43264, 46656, 51076, 55225, 59536
OFFSET
0,3
COMMENTS
a(n) - A070929(n) = n^3.
FORMULA
a(n) = ceiling(n^(3/2))^2. - Benoit Cloitre, Nov 01 2002
EXAMPLE
a(10)=1024, as 1024=32^2 is the least square >= 1000 = 10^3.
MATHEMATICA
lis[n_]:=Module[{c=Sqrt[n^3]}, If[IntegerQ[c], c^2, (Floor[c]+1)^2]]; Array[lis, 40, 0] (* Harvey P. Dale, Jan 22 2013 *)
PROG
(Magma) [Ceiling(n^(3/2))^2: n in [0..50]]; // Vincenzo Librandi, Feb 17 2015
CROSSREFS
KEYWORD
nonn
AUTHOR
Reinhard Zumkeller, Oct 29 2002
STATUS
approved