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A165829 Totally multiplicative sequence with a(p) = 8. 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 (list; graph; refs; listen; history; text; internal format)
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 * A164683 A222957 A038286

Adjacent sequences:  A165826 A165827 A165828 * A165830 A165831 A165832

KEYWORD

nonn,mult

AUTHOR

Jaroslav Krizek, Sep 28 2009

STATUS

approved

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Last modified July 11 22:45 EDT 2020. Contains 335652 sequences. (Running on oeis4.)