A166624 Totally multiplicative sequence with a(p) = 3p for prime p.

1, 6, 9, 36, 15, 54, 21, 216, 81, 90, 33, 324, 39, 126, 135, 1296, 51, 486, 57, 540, 189, 198, 69, 1944, 225, 234, 729, 756, 87, 810, 93, 7776, 297, 306, 315, 2916, 111, 342, 351, 3240, 123, 1134, 129, 1188, 1215, 414, 141, 11664, 441, 1350

Offset

1,2

Links

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

Formula

Multiplicative with a(p^e) = (3p)^e.

If n = Product p(k)^e(k) then a(n) = Product (3*p(k))^e(k).

a(n) = n * A165824(n) = n * 3^bigomega(n) = n * 3^A001222(n).

Dirichlet g.f.: Product_{p prime} 1 / (1 - 3 * p^(1 - s)). - Ilya Gutkovskiy, Oct 30 2019

Mathematica

Table[n*3^PrimeOmega[n], {n, 1, 100}] (* G. C. Greubel, May 19 2016 *)

Crossrefs

Cf. A001222, A165824.

Sequence in context: A267690 A084007 A046634 * A025628 A100096 A192172

Adjacent sequences: A166621 A166622 A166623 * A166625 A166626 A166627

Keyword

nonn,mult

Author

Jaroslav Krizek, Oct 18 2009

Status

approved