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A068795 In prime factorization of n replace all primes by the greatest prime factor of n; a(1)=1. +0
6
1, 2, 3, 4, 5, 9, 7, 8, 9, 25, 11, 27, 13, 49, 25, 16, 17, 27, 19, 125, 49, 121, 23, 81, 25, 169, 27, 343, 29, 125, 31, 32, 121, 289, 49, 81, 37, 361, 169, 625, 41, 343, 43, 1331, 125, 529, 47, 243, 49, 125, 289, 2197, 53, 81, 121 (list; graph; listen)
OFFSET

1,2

COMMENT

A068794(n)<=n<=a(n);

a(n) = A068794(n) iff n=1 or n=p^k for some prime p, k>0.

a(30)=a(2*3*5)=5*5*5=125.

FORMULA

a(n) = A006530(n)^A001222(n).

CROSSREFS

Sequence in context: A029636 A079871 A130064 this_sequence A072501 A092975 A046021

Adjacent sequences: A068792 A068793 A068794 this_sequence A068796 A068797 A068798

KEYWORD

nonn

AUTHOR

Reinhard Zumkeller (reinhard.zumkeller(AT)lhsystems.com), Mar 05 2002

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Last modified July 26 13:41 EDT 2008. Contains 142293 sequences.


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