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A121536
Smallest m such that m^3>=n^2.
3
1, 2, 3, 3, 3, 4, 4, 4, 5, 5, 5, 6, 6, 6, 7, 7, 7, 7, 8, 8, 8, 8, 9, 9, 9, 9, 9, 10, 10, 10, 10, 11, 11, 11, 11, 11, 12, 12, 12, 12, 12, 13, 13, 13, 13, 13, 14, 14, 14, 14, 14, 14, 15, 15, 15, 15, 15, 15, 16, 16, 16, 16, 16, 16, 17, 17, 17, 17, 17, 17, 18, 18, 18, 18, 18, 18, 19, 19
OFFSET
1,2
COMMENTS
If n is a cube a(n)=A100196(n), otherwise a(n)=A100196(n)+1. Also, a(n)=(A070923(n)+n^2)^(1/3).
FORMULA
a(n)=ceiling(n^(2/3)), n=1,2,...
MATHEMATICA
Table[Ceiling[n^(2/3)], {n, 1, 100}]
CROSSREFS
Sequence in context: A202304 A047745 A196176 * A285761 A348385 A080405
KEYWORD
nonn
AUTHOR
Zak Seidov, Aug 05 2006
STATUS
approved