A166627 Totally multiplicative sequence with a(p) = 6p for prime p.

1, 12, 18, 144, 30, 216, 42, 1728, 324, 360, 66, 2592, 78, 504, 540, 20736, 102, 3888, 114, 4320, 756, 792, 138, 31104, 900, 936, 5832, 6048, 174, 6480, 186, 248832, 1188, 1224, 1260, 46656, 222, 1368, 1404, 51840, 246, 9072, 258, 9504, 9720, 1656, 282

Offset

1,2

Links

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

Formula

Multiplicative with a(p^e) = (6p)^e.

If n = Product p(k)^e(k) then a(n) = Product (6*p(k))^e(k).

a(n) = n * A165827(n) = n * 6^bigomega(n) = n * 6^A001222(n).

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

Mathematica

Table[n*6^PrimeOmega[n], {n, 1, 100}] (* G. C. Greubel, May 19 2016 *)

Prog

(PARI) a(n) = n*6^bigomega(n); \\ Michel Marcus, May 19 2016

Crossrefs

Cf. A001222, A165827.

Sequence in context: A086301 A231094 A258427 * A018957 A238922 A212128

Adjacent sequences: A166624 A166625 A166626 * A166628 A166629 A166630

Keyword

nonn,mult

Author

Jaroslav Krizek, Oct 18 2009

Status

approved