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 A165824 Totally multiplicative sequence with a(p) = 3. 16
 1, 3, 3, 9, 3, 9, 3, 27, 9, 9, 3, 27, 3, 9, 9, 81, 3, 27, 3, 27, 9, 9, 3, 81, 9, 9, 27, 27, 3, 27, 3, 243, 9, 9, 9, 81, 3, 9, 9, 81, 3, 27, 3, 27, 27, 9, 3, 243, 9, 27, 9, 27, 3, 81, 9, 81, 9, 9, 3, 81, 3, 9, 27, 729, 9, 27, 3, 27, 9, 27, 3, 243, 3, 9, 27, 27 (list; graph; refs; listen; history; text; internal format)
 OFFSET 1,2 LINKS G. C. Greubel, Table of n, a(n) for n = 1..10000 FORMULA a(n) = A000244(A001222(n)) = 3^bigomega(n) = 3^A001222(n). Dirichlet g.f.: Product_{p prime} 1 / (1 - 3 * p^(-s)). - Ilya Gutkovskiy, Oct 30 2019 MAPLE A165824 := proc(n) 3^numtheory[bigomega](n) ; end proc: seq(A165824(n), n=1..40) ; # R. J. Mathar, Mar 07 2022 MATHEMATICA 3^PrimeOmega[Range[100]] (* G. C. Greubel, Apr 09 2016 *) PROG (PARI) a(n) = 3^bigomega(n); \\ Altug Alkan, Apr 09 2016 CROSSREFS Cf. A000244, A001222, A061142, A347149, A350961. Sequence in context: A071909 A134662 A145444 * A256689 A266533 A151710 Adjacent sequences: A165821 A165822 A165823 * A165825 A165826 A165827 KEYWORD nonn,mult AUTHOR Jaroslav Krizek, Sep 28 2009 EXTENSIONS More terms from Vaclav Kotesovec, Feb 16 2022 STATUS approved

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Last modified October 3 22:39 EDT 2023. Contains 365872 sequences. (Running on oeis4.)