A166626 Totally multiplicative sequence with a(p) = 5p for prime p.

1, 10, 15, 100, 25, 150, 35, 1000, 225, 250, 55, 1500, 65, 350, 375, 10000, 85, 2250, 95, 2500, 525, 550, 115, 15000, 625, 650, 3375, 3500, 145, 3750, 155, 100000, 825, 850, 875, 22500, 185, 950, 975, 25000, 205, 5250, 215, 5500, 5625, 1150, 235, 150000

Offset

1,2

Links

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

Formula

Multiplicative with a(p^e) = (5p)^e.

If n = Product p(k)^e(k) then a(n) = Product (5*p(k))^e(k).

a(n) = n * A165826(n) = n * 5^bigomega(n) = n * 5^A001222(n).

Dirichlet g.f.: Product_{p prime} 1 / (1 - 5 * p^(1 - s)). - Ilya Gutkovskiy, Oct 30 2019

Mathematica

Table[n*5^PrimeOmega[n], {n, 1, 100}] (* G. C. Greubel, May 19 2016 *)

Prog

(PARI) a(n) = n*5^bigomega(n); \\ Michel Marcus, May 19 2016

Crossrefs

Cf. A001222, A165826.

Sequence in context: A056522 A056511 A339314 * A238759 A278349 A114703

Adjacent sequences: A166623 A166624 A166625 * A166627 A166628 A166629

Keyword

nonn,mult

Author

Jaroslav Krizek, Oct 18 2009

Status

approved