A165830 Totally multiplicative sequence with a(p) = 9.

1, 9, 9, 81, 9, 81, 9, 729, 81, 81, 9, 729, 9, 81, 81, 6561, 9, 729, 9, 729, 81, 81, 9, 6561, 81, 81, 729, 729, 9, 729, 9, 59049, 81, 81, 81, 6561, 9, 81, 81, 6561, 9, 729, 9, 729, 729, 81, 9, 59049, 81, 729

Offset: 1

Author

Jaroslav Krizek, Sep 28 2009

Keywords

• nonn
• mult

Links

• G. C. Greubel, Table of n, a(n) for n = 1..10000

Crossrefs

Cf. A001019, A001222.

Programs

Mathematica

9^PrimeOmega[Range[100]] (* G. C. Greubel, Apr 09 2016 *)

PARI

a(n) = 9^bigomega(n); \\ Altug Alkan, Apr 09 2016

Formula

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

Dirichlet g.f.: Product_{p prime} 1 / (1 - 9 * p^(-s)). - Ilya Gutkovskiy, Oct 30 2019