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A166624 Totally multiplicative sequence with a(p) = 3p for prime p. 1
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 (list; graph; refs; listen; history; text; internal format)
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

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Last modified February 16 15:17 EST 2020. Contains 331961 sequences. (Running on oeis4.)