%I #21 Sep 08 2022 08:45:48
%S 1,27,27,729,27,729,27,19683,729,729,27,19683,27,729,729,531441,27,
%T 19683,27,19683,729,729,27,531441,729,729,19683,19683,27,19683,27,
%U 14348907,729,729,729,531441,27,729,729,531441,27,19683,27,19683,19683
%N Totally multiplicative sequence with a(p) = 27.
%H G. C. Greubel, <a href="/A165848/b165848.txt">Table of n, a(n) for n = 1..10000</a>[Terms 1 through 1000 were computed by Vincenzo Librandi; terms 1001 to 10000 by G. C. Greubel, Apr 13 2016]
%F a(n) = A009971(A001222(n)) = 27^bigomega(n) = 27^A001222(n).
%t 27^PrimeOmega[Range[50]] (* _Harvey P. Dale_, Apr 20 2014 *)
%o (PARI) a(n) = 27^bigomega(n); \\ _Altug Alkan_, Apr 13 2016
%o (Magma) [n eq 1 select 1 else 27^(&+[p[2]: p in Factorization(n)]): n in [1..100]]; // _Vincenzo Librandi_, Apr 14 2016
%Y Cf. A001222, A009971.
%K nonn,mult
%O 1,2
%A _Jaroslav Krizek_, Sep 28 2009