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Search: id:A079866
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A079866 a(1)=1 and for n>1: floor(n^(1/Omega(n))), where Omega(n) is the total number of prime factors of n (A001222). +0
3
1, 2, 3, 2, 5, 2, 7, 2, 3, 3, 11, 2, 13, 3, 3, 2, 17, 2, 19, 2, 4, 4, 23, 2, 5, 5, 3, 3, 29, 3, 31, 2, 5, 5, 5, 2, 37, 6, 6, 2, 41, 3, 43, 3, 3, 6, 47, 2, 7, 3, 7, 3, 53, 2, 7, 2, 7, 7, 59, 2, 61, 7, 3, 2, 8, 4, 67, 4, 8, 4, 71, 2, 73, 8, 4, 4, 8, 4, 79, 2, 3, 9, 83, 3, 9, 9, 9, 3, 89, 3, 9, 4, 9, 9, 9, 2 (list; graph; listen)
OFFSET

1,2

COMMENT

a(n)<=A079868(n); A020639(n)<=a(n)<=A006530(n);

a(m)=A079868(m)=A079870(m) iff m is a prime power (A000961).

CROSSREFS

A079867(n)=a(n)^A001222(n).

Cf. A079749, A079747.

Adjacent sequences: A079863 A079864 A079865 this_sequence A079867 A079868 A079869

Sequence in context: A071889 A091963 A067695 this_sequence A134332 A080210 A126594

KEYWORD

nonn

AUTHOR

Reinhard Zumkeller (reinhard.zumkeller(AT)gmail.com), Jan 13 2003

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Last modified October 15 09:18 EDT 2008. Contains 145015 sequences.


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