A165852 Totally multiplicative sequence with a(p) = 31.

1, 31, 31, 961, 31, 961, 31, 29791, 961, 961, 31, 29791, 31, 961, 961, 923521, 31, 29791, 31, 29791, 961, 961, 31, 923521, 961, 961, 29791, 29791, 31, 29791, 31, 28629151, 961, 961, 961, 923521, 31, 961, 961, 923521, 31, 29791, 31, 29791, 29791

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, A009975.

Programs

Magma

[n eq 1 select 1 else 31^(&+[p[2]: p in Factorization(n)]): n in [1..100]]; // Vincenzo Librandi, Apr 14 2016

Mathematica

31^PrimeOmega[Range[100]] (* G. C. Greubel, Apr 13 2016 *)

PARI

a(n) = 31^bigomega(n); \\ Michel Marcus, Apr 14 2016

Formula

a(n) = A009975(A001222(n)) = 31^bigomega(n) = 31^A001222(n).