A165851 Totally multiplicative sequence with a(p) = 30.

1, 30, 30, 900, 30, 900, 30, 27000, 900, 900, 30, 27000, 30, 900, 900, 810000, 30, 27000, 30, 27000, 900, 900, 30, 810000, 900, 900, 27000, 27000, 30, 27000, 30, 24300000, 900, 900, 900, 810000, 30, 900, 900, 810000, 30, 27000, 30, 27000, 27000

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, A009974.

Programs

Magma

[n eq 1 select 1 else 30^(&+[p[2]: p in Factorization(n)]): n in [1..120]]; // Vincenzo Librandi, Apr 14 2016

Mathematica

30^PrimeOmega[Range[50]] (* Harvey P. Dale, May 04 2015 *)

PARI

a(n) = 30^bigomega(n); \\ Michel Marcus, Apr 14 2016

Formula

a(n) = A009974(A001222(n)) = 30^bigomega(n) = 30^A001222(n).