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A165828 Totally multiplicative sequence with a(p) = 7. 8
1, 7, 7, 49, 7, 49, 7, 343, 49, 49, 7, 343, 7, 49, 49, 2401, 7, 343, 7, 343, 49, 49, 7, 2401, 49, 49, 343, 343, 7, 343, 7, 16807, 49, 49, 49, 2401, 7, 49, 49, 2401, 7, 343, 7, 343, 343, 49, 7, 16807, 49, 343 (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) = A000420(A001222(n)) = 7^bigomega(n) = 7^A001222(n).

Dirichlet g.f.: Product_{p prime} 1 / (1 - 7 * p^(-s)). - Ilya Gutkovskiy, Oct 30 2019

MATHEMATICA

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

PROG

(PARI) a(n) = 7^bigomega(n); \\ Altug Alkan, Apr 09 2016

CROSSREFS

Cf. A000420, A001222.

Sequence in context: A219447 A271064 A173294 * A161343 A038273 A245132

Adjacent sequences:  A165825 A165826 A165827 * A165829 A165830 A165831

KEYWORD

nonn,mult

AUTHOR

Jaroslav Krizek, Sep 28 2009

STATUS

approved

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Last modified February 25 14:40 EST 2021. Contains 341609 sequences. (Running on oeis4.)