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A165827 Totally multiplicative sequence with a(p) = 6. 9

%I #11 Oct 30 2019 08:27:54

%S 1,6,6,36,6,36,6,216,36,36,6,216,6,36,36,1296,6,216,6,216,36,36,6,

%T 1296,36,36,216,216,6,216,6,7776,36,36,36,1296,6,36,36,1296,6,216,6,

%U 216,216,36,6,7776,36,216

%N Totally multiplicative sequence with a(p) = 6.

%H G. C. Greubel, <a href="/A165827/b165827.txt">Table of n, a(n) for n = 1..10000</a>

%F a(n) = A000400(A001222(n)) = 6^bigomega(n) = 6^A001222(n).

%F Dirichlet g.f.: Product_{p prime} 1 / (1 - 6 * p^(-s)). - _Ilya Gutkovskiy_, Oct 30 2019

%t 6^PrimeOmega[Range[100]] (* _G. C. Greubel_, Apr 09 2016 *)

%Y Cf. A000400, A001222.

%K nonn,mult

%O 1,2

%A _Jaroslav Krizek_, Sep 28 2009

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Last modified April 25 12:33 EDT 2024. Contains 371969 sequences. (Running on oeis4.)