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

1, 27, 27, 729, 27, 729, 27, 19683, 729, 729, 27, 19683, 27, 729, 729, 531441, 27, 19683, 27, 19683, 729, 729, 27, 531441, 729, 729, 19683, 19683, 27, 19683, 27, 14348907, 729, 729, 729, 531441, 27, 729, 729, 531441, 27, 19683, 27, 19683, 19683

Offset: 1

Author

Jaroslav Krizek, Sep 28 2009

Keywords

• nonn
• mult

Links

• G. C. Greubel, Table of n, a(n) for n = 1..10000[Terms 1 through 1000 were computed by Vincenzo Librandi; terms 1001 to 10000 by G. C. Greubel, Apr 13 2016]

Crossrefs

Cf. A001222, A009971.

Programs

Magma

[n eq 1 select 1 else 27^(&+[p[2]: p in Factorization(n)]): n in [1..100]]; // Vincenzo Librandi, Apr 14 2016

Mathematica

27^PrimeOmega[Range[50]] (* Harvey P. Dale, Apr 20 2014 *)

PARI

a(n) = 27^bigomega(n); \\ Altug Alkan, Apr 13 2016

Formula

a(n) = A009971(A001222(n)) = 27^bigomega(n) = 27^A001222(n).