A165829 - OEIS

%I #13 Oct 30 2019 09:21:30

%S 1,8,8,64,8,64,8,512,64,64,8,512,8,64,64,4096,8,512,8,512,64,64,8,

%T 4096,64,64,512,512,8,512,8,32768,64,64,64,4096,8,64,64,4096,8,512,8,

%U 512,512,64,8,32768,64,512

%N Totally multiplicative sequence with a(p) = 8.

%H G. C. Greubel, <a href="/A165829/b165829.txt">Table of n, a(n) for n = 1..10000</a>

%F a(n) = A001018(A001222(n)) = 8^bigomega(n) = 8^A001222(n).

%F Dirichlet g.f.: Product_{p prime} 1 / (1 - 8 * p^(-s)). - _Ilya Gutkovskiy_, Oct 30 2019

%t 8^PrimeOmega[Range[100]](* _G. C. Greubel_, Apr 09 2016 *)

%o (PARI) a(n) = 8^bigomega(n); \\ _Altug Alkan_, Apr 09 2016

%Y Cf. A001018, A001222.

%K nonn,mult

%O 1,2

%A _Jaroslav Krizek_, Sep 28 2009