id:A045835 - OEIS Search Results

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Numbers n such that sopfr(Omega(n)) = Omega(sopfr(n)), where Omega(m) is the number and sopfr(m) is the sum of prime factors of m, with repetition respectively.

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1, 4, 9, 14, 18, 21, 25, 26, 33, 38, 42, 46, 49, 50, 57, 62, 69, 74, 78, 85, 92, 93, 94, 106, 110, 121, 129, 130, 133, 134, 138, 140, 145, 154, 164, 166, 169, 177, 178, 189, 204, 205, 213, 217, 218, 222, 225, 226, 230, 236, 237, 249, 253, 254, 262, 265, 266, 278 (list; graph; listen)

	OFFSET	`1,2`
	COMMENT	`A001414(A001222(a(n))) = A001222(A001414(a(n)));` `squares of primes (A001248) are a subsequence.`
	EXAMPLE	`n=189=333*7: Omega(soprf(189)=Omega(3+3+3+7)=Omega(16)=4, sopfr(Omega(189))=soprf(4)=2+2=4, therefore 189 is a term.`
	CROSSREFS	`Cf. A076361.` `Sequence in context: A050986 A034259 A010452 this_sequence A141089 A038123 A100215` `Adjacent sequences: A045832 A045833 A045834 this_sequence A045836 A045837 A045838`
	KEYWORD	`nonn`
	AUTHOR	`Reinhard Zumkeller (reinhard.zumkeller(AT)lhsystems.com), Mar 04 2003`

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Last modified August 19 23:53 EDT 2008. Contains 142930 sequences.

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