%I #12 Oct 30 2019 10:54:25
%S 1,14,21,196,35,294,49,2744,441,490,77,4116,91,686,735,38416,119,6174,
%T 133,6860,1029,1078,161,57624,1225,1274,9261,9604,203,10290,217,
%U 537824,1617,1666,1715,86436,259,1862,1911,96040,287,14406,301,15092,15435
%N Totally multiplicative sequence with a(p) = 7p for prime p.
%H G. C. Greubel, <a href="/A166628/b166628.txt">Table of n, a(n) for n = 1..10000</a>
%F Multiplicative with a(p^e) = (7p)^e.
%F If n = Product p(k)^e(k) then a(n) = Product (7*p(k))^e(k).
%F a(n) = n * A165828(n) = n * 7^bigomega(n) = n * 7^A001222(n).
%F Dirichlet g.f.: Product_{p prime} 1 / (1 - 7 * p^(1 - s)). - _Ilya Gutkovskiy_, Oct 30 2019
%t Table[n*7^PrimeOmega[n], {n, 1, 100}] (* _G. C. Greubel_, May 19 2016 *)
%Y Cf. A001222, A165828.
%K nonn,mult
%O 1,2
%A _Jaroslav Krizek_, Oct 18 2009
|