A165831 Totally multiplicative sequence with a(p) = 10.

1, 10, 10, 100, 10, 100, 10, 1000, 100, 100, 10, 1000, 10, 100, 100, 10000, 10, 1000, 10, 1000, 100, 100, 10, 10000, 100, 100, 1000, 1000, 10, 1000, 10, 100000, 100, 100, 100, 10000, 10, 100, 100, 10000, 10, 1000, 10, 1000, 1000, 100, 10, 100000, 100, 1000

Offset

1,2

Links

G. C. Greubel, Table of n, a(n) for n = 1..10000

Formula

a(n) = A011557(A001222(n)) = 10^bigomega(n) = 10^A001222(n).

Dirichlet g.f.: Product_{p prime} 1 / (1 - 10 * p^(-s)). - Ilya Gutkovskiy, Oct 30 2019

Mathematica

10^PrimeOmega[Range[50]] (* Harvey P. Dale, Apr 03 2013 *)

Crossrefs

Cf. A001222, A011557.

Sequence in context: A219797 A377215 A255744 * A102377 A286507 A286508

Adjacent sequences: A165828 A165829 A165830 * A165832 A165833 A165834

Keyword

nonn,mult

Author

Jaroslav Krizek, Sep 28 2009

Status

approved