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A165848 Totally multiplicative sequence with a(p) = 27. 1

%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

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Last modified April 19 02:45 EDT 2024. Contains 371782 sequences. (Running on oeis4.)