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

Author

Jaroslav Krizek, Sep 28 2009

Keywords

• nonn
• mult

Links

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

Crossrefs

Cf. A001222, A011557.

Programs

Mathematica

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

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