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A165824 Totally multiplicative sequence with a(p) = 3. 16

%I #23 Mar 07 2022 13:49:03

%S 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,

%T 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,

%U 3,81,3,9,27,729,9,27,3,27,9,27,3,243,3,9,27,27

%N Totally multiplicative sequence with a(p) = 3.

%H G. C. Greubel, <a href="/A165824/b165824.txt">Table of n, a(n) for n = 1..10000</a>

%F a(n) = A000244(A001222(n)) = 3^bigomega(n) = 3^A001222(n).

%F Dirichlet g.f.: Product_{p prime} 1 / (1 - 3 * p^(-s)). - _Ilya Gutkovskiy_, Oct 30 2019

%p A165824 := proc(n)

%p 3^numtheory[bigomega](n) ;

%p end proc:

%p seq(A165824(n),n=1..40) ; # _R. J. Mathar_, Mar 07 2022

%t 3^PrimeOmega[Range[100]] (* _G. C. Greubel_, Apr 09 2016 *)

%o (PARI) a(n) = 3^bigomega(n); \\ _Altug Alkan_, Apr 09 2016

%Y Cf. A000244, A001222, A061142, A347149, A350961.

%K nonn,mult

%O 1,2

%A _Jaroslav Krizek_, Sep 28 2009

%E More terms from _Vaclav Kotesovec_, Feb 16 2022

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Last modified March 29 01:36 EDT 2024. Contains 371264 sequences. (Running on oeis4.)