A165830 - OEIS

%I #13 Oct 30 2019 09:22:01

%S 1,9,9,81,9,81,9,729,81,81,9,729,9,81,81,6561,9,729,9,729,81,81,9,

%T 6561,81,81,729,729,9,729,9,59049,81,81,81,6561,9,81,81,6561,9,729,9,

%U 729,729,81,9,59049,81,729

%N Totally multiplicative sequence with a(p) = 9.

%H G. C. Greubel, <a href="/A165830/b165830.txt">Table of n, a(n) for n = 1..10000</a>

%F a(n) = A001019(A001222(n)) = 9^bigomega(n) = 9^A001222(n).

%F Dirichlet g.f.: Product_{p prime} 1 / (1 - 9 * p^(-s)). - _Ilya Gutkovskiy_, Oct 30 2019

%t 9^PrimeOmega[Range[100]] (* _G. C. Greubel_, Apr 09 2016 *)

%o (PARI) a(n) = 9^bigomega(n); \\ _Altug Alkan_, Apr 09 2016

%Y Cf. A001019, A001222.

%K nonn,mult

%O 1,2

%A _Jaroslav Krizek_, Sep 28 2009