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A174238 Inverse Moebius transform of even part of n (A006519). 1

%I

%S 1,3,2,7,2,6,2,15,3,6,2,14,2,6,4,31,2,9,2,14,4,6,2,30,3,6,4,14,2,12,2,

%T 63,4,6,4,21,2,6,4,30,2,12,2,14,6,6,2,62,3,9,4,14,2,12,4,30,4,6,2,28,

%U 2,6,6,127,4,12,2,14,4,12,2,45,2,6,6,14,4,12,2,62

%N Inverse Moebius transform of even part of n (A006519).

%C A Dirichlet g.f. would be greatly appreciated.

%C The Dirichlet g.f. is the Dirichlet g.f. of A006519 multiplied by zeta(s). - _R. J. Mathar_, Feb 06 2011

%C Multiplicative because A006519 is. - _Andrew Howroyd_, Jul 27 2018

%H Andrew Howroyd, <a href="/A174238/b174238.txt">Table of n, a(n) for n = 1..1000</a>

%F a(1) = 1, a(2n) = 2a(n) + A001227(n), a(2n+1) = A000005(2n+1).

%F Dirichlet g.f.: zeta(s)^2*(1-2^(-s))/(1-2^(-s+1)). - _Ralf Stephan_, Mar 27 2015

%o (PARI) a(n) = sumdiv(n, d, 2^valuation(d, 2)); \\ _Michel Marcus_, Mar 27 2015

%Y Cf. A000005, A006519, A001227.

%K nonn,mult

%O 1,2

%A _Ralf Stephan_, Nov 27 2010

%E Title corrected by _R. J. Mathar_, Feb 06 2011

%E Terms a(61) and beyond from _Andrew Howroyd_, Jul 27 2018

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Last modified June 18 18:52 EDT 2019. Contains 324215 sequences. (Running on oeis4.)