id:A080613 - OEIS Search Results

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Minimal sequence such that Omega(a(m))<=Omega(a(n)) for m<n, where Omega=A001222 (sum of exponents in prime factorization).

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1, 2, 3, 4, 25, 6, 49, 8, 27, 20, 1331, 12, 2197, 28, 45, 16, 83521, 36, 130321, 40, 189, 88, 279841, 24, 625, 104, 81, 56, 707281, 60, 923521, 32, 891, 272, 4375, 72, 69343957, 304, 1053, 80, 115856201, 168, 147008443, 176, 405, 368, 229345007, 48 (list; graph; listen)

	OFFSET	`1,2`
	COMMENT	`a(n)=n iff n=2^k or n=3*2^k (A029744); A001222(a(n))=A000523(n).`
	FORMULA	`a(1) = 1, a(n) = if Omega(n)<Omega(a(n-1)) then n*spf(n)^(Omega(a(n-1))-Omega(n)) else n, where spf=A020639 (smallest prime factor).`
	CROSSREFS	`Sequence in context: A115884 A010345 A000336 this_sequence A055006 A139050 A043309` `Adjacent sequences: A080610 A080611 A080612 this_sequence A080614 A080615 A080616`
	KEYWORD	`nonn`
	AUTHOR	`Reinhard Zumkeller (reinhard.zumkeller(AT)gmail.com), Feb 25 2003`

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

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