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

1,2

Links

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

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

Mathematica

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

Prog

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

Crossrefs

Cf. A001018, A001222.

Sequence in context: A243124 A103744 A151782 * A358714 A164683 A222957

Adjacent sequences: A165826 A165827 A165828 * A165830 A165831 A165832

Keyword

nonn,mult

Author

Jaroslav Krizek, Sep 28 2009

Status

approved