login
This site is supported by donations to The OEIS Foundation.

 

Logo


Hints
(Greetings from The On-Line Encyclopedia of Integer Sequences!)
A166626 Totally multiplicative sequence with a(p) = 5p for prime p. 1
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 (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) = (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: A020139 A056522 A056511 * A238759 A278349 A114703

Adjacent sequences:  A166623 A166624 A166625 * A166627 A166628 A166629

KEYWORD

nonn,mult

AUTHOR

Jaroslav Krizek, Oct 18 2009

STATUS

approved

Lookup | Welcome | Wiki | Register | Music | Plot 2 | Demos | Index | Browse | More | WebCam
Contribute new seq. or comment | Format | Style Sheet | Transforms | Superseeker | Recent
The OEIS Community | Maintained by The OEIS Foundation Inc.

License Agreements, Terms of Use, Privacy Policy. .

Last modified November 17 13:12 EST 2019. Contains 329230 sequences. (Running on oeis4.)