A166630 - OEIS

%I #11 Oct 30 2019 12:06:12

%S 1,18,27,324,45,486,63,5832,729,810,99,8748,117,1134,1215,104976,153,

%T 13122,171,14580,1701,1782,207,157464,2025,2106,19683,20412,261,21870,

%U 279,1889568,2673,2754,2835,236196,333,3078,3159,262440,369,30618,387

%N Totally multiplicative sequence with a(p) = 9p for prime p.

%H G. C. Greubel, <a href="/A166630/b166630.txt">Table of n, a(n) for n = 1..10000</a>

%F Multiplicative with a(p^e) = (9p)^e.

%F If n = Product p(k)^e(k) then a(n) = Product (9*p(k))^e(k).

%F a(n) = n * A165830(n) = n * 9^bigomega(n) = n * 9^A001222(n).

%F Dirichlet g.f.: Product_{p prime} 1 / (1 - 9 * p^(1 - s)). - _Ilya Gutkovskiy_, Oct 30 2019

%t Table[n*9^PrimeOmega[n], {n, 1, 100}] (* _G. C. Greubel_, May 19 2016 *)

%Y Cf. A001222, A165830.

%K nonn,mult

%O 1,2

%A _Jaroslav Krizek_, Oct 18 2009