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%I #14 Oct 30 2019 10:54:36
%S 1,10,15,100,25,150,35,1000,225,250,55,1500,65,350,375,10000,85,2250,
%T 95,2500,525,550,115,15000,625,650,3375,3500,145,3750,155,100000,825,
%U 850,875,22500,185,950,975,25000,205,5250,215,5500,5625,1150,235,150000
%N Totally multiplicative sequence with a(p) = 5p for prime p.
%H G. C. Greubel, <a href="/A166626/b166626.txt">Table of n, a(n) for n = 1..10000</a>
%F Multiplicative with a(p^e) = (5p)^e.
%F If n = Product p(k)^e(k) then a(n) = Product (5*p(k))^e(k).
%F a(n) = n * A165826(n) = n * 5^bigomega(n) = n * 5^A001222(n).
%F Dirichlet g.f.: Product_{p prime} 1 / (1 - 5 * p^(1 - s)). - _Ilya Gutkovskiy_, Oct 30 2019
%t Table[n*5^PrimeOmega[n], {n, 1, 100}] (* _G. C. Greubel_, May 19 2016 *)
%o (PARI) a(n) = n*5^bigomega(n); \\ _Michel Marcus_, May 19 2016
%Y Cf. A001222, A165826.
%K nonn,mult
%O 1,2
%A _Jaroslav Krizek_, Oct 18 2009
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