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A096309 a(1)=1; for n>1, a(n) is the number of levels in the "stacked" prime number factorization of n (prime number factorization of the exponents if necessary and so on ...). +0
1
1, 1, 1, 2, 1, 1, 1, 2, 2, 1, 1, 2, 1, 1, 1, 3, 1, 2, 1, 2, 1, 1, 1, 2, 2, 1, 2, 2, 1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 2, 2, 1, 1, 3, 2, 2, 1 (list; graph; listen)
OFFSET

1,4

COMMENT

For n>1: a(n)=1 iff n squarefree

EXAMPLE

a(4)=2 because 4=2^2; a(8)=2 because 8=2^3; a(16)=3 because 16=2^(2^2);

CROSSREFS

Cf. A087049.

Sequence in context: A007424 A085424 A088737 this_sequence A049419 A046951 A159631

Adjacent sequences: A096306 A096307 A096308 this_sequence A096310 A096311 A096312

KEYWORD

easy,nonn

AUTHOR

Franz Vrabec (franz.vrabec(AT)aon.at), Jun 27 2004

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Last modified November 30 13:13 EST 2009. Contains 167758 sequences.


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