A165826 Totally multiplicative sequence with a(p) = 5.

1, 5, 5, 25, 5, 25, 5, 125, 25, 25, 5, 125, 5, 25, 25, 625, 5, 125, 5, 125, 25, 25, 5, 625, 25, 25, 125, 125, 5, 125, 5, 3125, 25, 25, 25, 625, 5, 25, 25, 625, 5, 125, 5, 125, 125, 25, 5, 3125, 25, 125

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. A000351, A001222, A061142, A165824, A165825.

Programs

Mathematica

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

PARI

for(n=1, 100, print1(direuler(p=2, n, 1/(1-5*X))[n], ", ")) \\ Vaclav Kotesovec, Feb 28 2023

Formula

a(n) = A000351(A001222(n)) = 5^bigomega(n) = 5^A001222(n).

Dirichlet g.f.: Product_{p prime} 1 / (1 - 5 * p^(-s)). - Ilya Gutkovskiy, Oct 30 2019