A165851 - OEIS

%I #14 Sep 08 2022 08:45:48

%S 1,30,30,900,30,900,30,27000,900,900,30,27000,30,900,900,810000,30,

%T 27000,30,27000,900,900,30,810000,900,900,27000,27000,30,27000,30,

%U 24300000,900,900,900,810000,30,900,900,810000,30,27000,30,27000,27000

%N Totally multiplicative sequence with a(p) = 30.

%H G. C. Greubel, <a href="/A165851/b165851.txt">Table of n, a(n) for n = 1..10000</a>

%F a(n) = A009974(A001222(n)) = 30^bigomega(n) = 30^A001222(n).

%t 30^PrimeOmega[Range[50]] (* _Harvey P. Dale_, May 04 2015 *)

%o (PARI) a(n) = 30^bigomega(n); \\ _Michel Marcus_, Apr 14 2016

%o (Magma) [n eq 1 select 1 else 30^(&+[p[2]: p in Factorization(n)]): n in [1..120]]; // _Vincenzo Librandi_, Apr 14 2016

%Y Cf. A001222, A009974.

%K nonn,mult

%O 1,2

%A _Jaroslav Krizek_, Sep 28 2009