|
%I #14 Oct 30 2019 19:40:51
%S 1,12,18,144,30,216,42,1728,324,360,66,2592,78,504,540,20736,102,3888,
%T 114,4320,756,792,138,31104,900,936,5832,6048,174,6480,186,248832,
%U 1188,1224,1260,46656,222,1368,1404,51840,246,9072,258,9504,9720,1656,282
%N Totally multiplicative sequence with a(p) = 6p for prime p.
%H G. C. Greubel, <a href="/A166627/b166627.txt">Table of n, a(n) for n = 1..10000</a>
%F Multiplicative with a(p^e) = (6p)^e.
%F If n = Product p(k)^e(k) then a(n) = Product (6*p(k))^e(k).
%F a(n) = n * A165827(n) = n * 6^bigomega(n) = n * 6^A001222(n).
%F Dirichlet g.f.: Product_{p prime} 1 / (1 - 6 * p^(1 - s)). - _Ilya Gutkovskiy_, Oct 30 2019
%t Table[n*6^PrimeOmega[n], {n, 1, 100}] (* _G. C. Greubel_, May 19 2016 *)
%o (PARI) a(n) = n*6^bigomega(n); \\ _Michel Marcus_, May 19 2016
%Y Cf. A001222, A165827.
%K nonn,mult
%O 1,2
%A _Jaroslav Krizek_, Oct 18 2009
|
