A165833 Totally multiplicative sequence with a(p) = 12.

1, 12, 12, 144, 12, 144, 12, 1728, 144, 144, 12, 1728, 12, 144, 144, 20736, 12, 1728, 12, 1728, 144, 144, 12, 20736, 144, 144, 1728, 1728, 12, 1728, 12, 248832, 144, 144, 144, 20736, 12, 144, 144, 20736, 12, 1728, 12, 1728, 1728, 144, 12, 248832, 144, 1728

Offset

1,2

Links

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

Formula

a(n) = A001021(A001222(n)) = 12^bigomega(n) = 12^A001222(n).

Dirichlet g.f.: Product_{p prime} 1 / (1 - 12 * p^(-s)). - Ilya Gutkovskiy, Oct 30 2019

Mathematica

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

Crossrefs

Cf. A001021, A001222.

Sequence in context: A219448 A067123 A178341 * A038338 A221796 A222298

Adjacent sequences: A165830 A165831 A165832 * A165834 A165835 A165836

Keyword

nonn,mult

Author

Jaroslav Krizek, Sep 28 2009

Status

approved