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A165830 Totally multiplicative sequence with a(p) = 9. 8
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 (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) = 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

MATHEMATICA

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

PROG

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

CROSSREFS

Cf. A001019, A001222.

Sequence in context: A183893 A210052 A239225 * A152018 A223744 A112296

Adjacent sequences:  A165827 A165828 A165829 * A165831 A165832 A165833

KEYWORD

nonn,mult

AUTHOR

Jaroslav Krizek, Sep 28 2009

STATUS

approved

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Last modified January 28 06:59 EST 2021. Contains 340490 sequences. (Running on oeis4.)