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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
OFFSET
1,2
LINKS
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
Sequence in context: A056522 A056511 A339314 * A238759 A278349 A114703
KEYWORD
nonn,mult
AUTHOR
Jaroslav Krizek, Oct 18 2009
STATUS
approved