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%I #18 Feb 28 2023 05:26:48
%S 1,5,5,25,5,25,5,125,25,25,5,125,5,25,25,625,5,125,5,125,25,25,5,625,
%T 25,25,125,125,5,125,5,3125,25,25,25,625,5,25,25,625,5,125,5,125,125,
%U 25,5,3125,25,125
%N Totally multiplicative sequence with a(p) = 5.
%H G. C. Greubel, <a href="/A165826/b165826.txt">Table of n, a(n) for n = 1..10000</a>
%F a(n) = A000351(A001222(n)) = 5^bigomega(n) = 5^A001222(n).
%F Dirichlet g.f.: Product_{p prime} 1 / (1 - 5 * p^(-s)). - _Ilya Gutkovskiy_, Oct 30 2019
%t 5^PrimeOmega[Range[100]] (* _G. C. Greubel_, Apr 09 2016 *)
%o (PARI) for(n=1, 100, print1(direuler(p=2, n, 1/(1-5*X))[n], ", ")) \\ _Vaclav Kotesovec_, Feb 28 2023
%Y Cf. A000351, A001222, A061142, A165824, A165825.
%K nonn,mult
%O 1,2
%A _Jaroslav Krizek_, Sep 28 2009
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