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A165830 Totally multiplicative sequence with a(p) = 9. 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 (list; graph; refs; listen; history; text; internal format)
OFFSET
1,2
LINKS
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
Sequence in context: A183893 A210052 A239225 * A152018 A223744 A112296
KEYWORD
nonn,mult
AUTHOR
Jaroslav Krizek, Sep 28 2009
STATUS
approved

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Last modified March 28 20:05 EDT 2024. Contains 371254 sequences. (Running on oeis4.)