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A045835 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. 1
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; refs; listen; history; text; internal format)
OFFSET

1,2

COMMENTS

A001414(A001222(a(n))) = A001222(A001414(a(n)));

squares of primes (A001248) are a subsequence.

LINKS

Table of n, a(n) for n=1..58.

EXAMPLE

n=189=3*3*3*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: A313015 A313016 A313017 * A313018 A313019 A313020

Adjacent sequences:  A045832 A045833 A045834 * A045836 A045837 A045838

KEYWORD

nonn

AUTHOR

Reinhard Zumkeller, Mar 04 2003

STATUS

approved

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Last modified October 20 20:04 EDT 2019. Contains 328270 sequences. (Running on oeis4.)