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A121536 Smallest m such that m^3>=n^2. 3

%I #2 Mar 30 2012 17:26:21

%S 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,

%T 11,11,11,11,12,12,12,12,12,13,13,13,13,13,14,14,14,14,14,14,15,15,15,

%U 15,15,15,16,16,16,16,16,16,17,17,17,17,17,17,18,18,18,18,18,18,19,19

%N Smallest m such that m^3>=n^2.

%C If n is a cube a(n)=A100196(n), otherwise a(n)=A100196(n)+1. Also, a(n)=(A070923(n)+n^2)^(1/3).

%F a(n)=ceiling(n^(2/3)), n=1,2,...

%t Table[Ceiling[n^(2/3)],{n,1,100}]

%Y Cf. A070923, A100196.

%K nonn

%O 1,2

%A _Zak Seidov_, Aug 05 2006

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