A165827 Totally multiplicative sequence with a(p) = 6.

1, 6, 6, 36, 6, 36, 6, 216, 36, 36, 6, 216, 6, 36, 36, 1296, 6, 216, 6, 216, 36, 36, 6, 1296, 36, 36, 216, 216, 6, 216, 6, 7776, 36, 36, 36, 1296, 6, 36, 36, 1296, 6, 216, 6, 216, 216, 36, 6, 7776, 36, 216

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. A000400, A001222.

Programs

Mathematica

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

Formula

a(n) = A000400(A001222(n)) = 6^bigomega(n) = 6^A001222(n).

Dirichlet g.f.: Product_{p prime} 1 / (1 - 6 * p^(-s)). - Ilya Gutkovskiy, Oct 30 2019