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A165828 Totally multiplicative sequence with a(p) = 7. 9

%I #14 Oct 30 2019 08:27:46

%S 1,7,7,49,7,49,7,343,49,49,7,343,7,49,49,2401,7,343,7,343,49,49,7,

%T 2401,49,49,343,343,7,343,7,16807,49,49,49,2401,7,49,49,2401,7,343,7,

%U 343,343,49,7,16807,49,343

%N Totally multiplicative sequence with a(p) = 7.

%H G. C. Greubel, <a href="/A165828/b165828.txt">Table of n, a(n) for n = 1..10000</a>

%F a(n) = A000420(A001222(n)) = 7^bigomega(n) = 7^A001222(n).

%F Dirichlet g.f.: Product_{p prime} 1 / (1 - 7 * p^(-s)). - _Ilya Gutkovskiy_, Oct 30 2019

%t 7^PrimeOmega[Range[100]] (* _G. C. Greubel_, Apr 09 2016 *)

%o (PARI) a(n) = 7^bigomega(n); \\ _Altug Alkan_, Apr 09 2016

%Y Cf. A000420, A001222.

%K nonn,mult

%O 1,2

%A _Jaroslav Krizek_, Sep 28 2009

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Last modified April 25 07:07 EDT 2024. Contains 371964 sequences. (Running on oeis4.)