A165829 Totally multiplicative sequence with a(p) = 8.

1, 8, 8, 64, 8, 64, 8, 512, 64, 64, 8, 512, 8, 64, 64, 4096, 8, 512, 8, 512, 64, 64, 8, 4096, 64, 64, 512, 512, 8, 512, 8, 32768, 64, 64, 64, 4096, 8, 64, 64, 4096, 8, 512, 8, 512, 512, 64, 8, 32768, 64, 512

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. A001018, A001222.

Programs

Mathematica

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

PARI

a(n) = 8^bigomega(n); \\ Altug Alkan, Apr 09 2016

Formula

a(n) = A001018(A001222(n)) = 8^bigomega(n) = 8^A001222(n).

Dirichlet g.f.: Product_{p prime} 1 / (1 - 8 * p^(-s)). - Ilya Gutkovskiy, Oct 30 2019