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A121536 Smallest m such that m^3>=n^2. +0
4
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 (list; graph; listen)
OFFSET

1,2

COMMENT

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

Cf. A070923, A100196.

Sequence in context: A087842 A101776 A047745 this_sequence A080405 A039728 A029119

Adjacent sequences: A121533 A121534 A121535 this_sequence A121537 A121538 A121539

KEYWORD

nonn

AUTHOR

Zak Seidov (zakseidov(AT)yahoo.com), Aug 05 2006

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Last modified December 8 08:31 EST 2009. Contains 170430 sequences.


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