id:A079871 - OEIS Search Results

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a(1)=1 and for n>1: ceil(n^(1/Omega(n)))^Omega(n), where Omega(n) is the total number of prime factors of n (A001222).

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1, 2, 3, 4, 5, 9, 7, 8, 9, 16, 11, 27, 13, 16, 16, 16, 17, 27, 19, 27, 25, 25, 23, 81, 25, 36, 27, 64, 29, 64, 31, 32, 36, 36, 36, 81, 37, 49, 49, 81, 41, 64, 43, 64, 64, 49, 47, 243, 49, 64, 64, 64, 53, 81, 64, 81, 64, 64, 59, 81, 61, 64, 64, 64, 81, 125, 67, 125, 81, 125, 71 (list; graph; listen)

	OFFSET	`1,2`
	COMMENT	`a(n)>=A079869(n); A020639(n)<=a(n)<=A006530(n);` `a(m)=m=A079869(m)=A079871(m) iff m is a prime power (A000961).`
	CROSSREFS	`a(n)=A079870(n)^A001222(n), A068794, A068795.` `Sequence in context: A048623 A075161 A029636 this_sequence A130064 A068795 A072501` `Adjacent sequences: A079868 A079869 A079870 this_sequence A079872 A079873 A079874`
	KEYWORD	`nonn`
	AUTHOR	`Reinhard Zumkeller (reinhard.zumkeller(AT)gmail.com), Jan 13 2003`

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Last modified November 25 20:09 EST 2009. Contains 167514 sequences.

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