A165828 Totally multiplicative sequence with a(p) = 7.

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

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