A166631 Totally multiplicative sequence with a(p) = 10p for prime p.

1, 20, 30, 400, 50, 600, 70, 8000, 900, 1000, 110, 12000, 130, 1400, 1500, 160000, 170, 18000, 190, 20000, 2100, 2200, 230, 240000, 2500, 2600, 27000, 28000, 290, 30000, 310, 3200000, 3300, 3400, 3500, 360000, 370, 3800, 3900, 400000, 410, 42000, 430

Offset

1,2

Links

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

Formula

Multiplicative with a(p^e) = (10p)^e.

If n = Product p(k)^e(k) then a(n) = Product (10*p(k))^e(k).

a(n) = n * A165831(n) = n * 10^bigomega(n) = n * 10^A001222(n).

Dirichlet g.f.: Product_{p prime} 1 / (1 - 10 * p^(1 - s)). - Ilya Gutkovskiy, Oct 30 2019

Mathematica

Table[n*10^PrimeOmega[n], {n, 1, 100}] (* G. C. Greubel, May 19 2016 *)

Crossrefs

Cf. A001222, A165831.

Sequence in context: A285494 A120210 A181639 * A167360 A113760 A053679

Adjacent sequences: A166628 A166629 A166630 * A166632 A166633 A166634

Keyword

nonn,mult

Author

Jaroslav Krizek, Oct 18 2009

Status

approved