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A007444 Moebius transform of primes.
(Formerly M0156)
10

%I M0156

%S 2,1,3,4,9,7,15,12,18,17,29,20,39,25,33,34,57,30,65,38,53,47,81,40,86,

%T 59,80,60,107,41,125,78,103,79,123,66,155,95,123,90,177,75,189,110,

%U 132,115,209,100,210,114,171,134,239

%N Moebius transform of primes.

%D N. J. A. Sloane and Simon Plouffe, The Encyclopedia of Integer Sequences, Academic Press, 1995 (includes this sequence).

%H N. J. A. Sloane, <a href="/transforms.txt">Transforms</a>

%F G.f.: Sum_{n>=1} a(n)*x^n/(1 - x^n) = Sum_{n>=1} prime(n)*x^n. - _Ilya Gutkovskiy_, Apr 25 2017

%o (PARI) a(n) = sumdiv(n, d, prime(d)*moebius(n/d)); \\ _Michel Marcus_, Nov 04 2018

%K nonn

%O 1,1

%A _N. J. A. Sloane_.

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Last modified June 6 14:04 EDT 2020. Contains 334827 sequences. (Running on oeis4.)