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%I #5 Dec 14 2020 10:28:32
%S 1,-3,-3,0,-3,6,-3,5,0,6,-3,6,-3,6,6,0,-3,6,-3,6,6,6,-3,-9,0,6,5,6,-3,
%T -3,-3,0,6,6,6,-9,-3,6,6,-9,-3,-3,-3,6,6,6,-3,-9,0,6,6,6,-3,-9,6,-9,6,
%U 6,-3,-21,-3,6,6,-7,6,-3,-3,6,6,-3,-3,-12,-3,6,6,6,6,-3,-3,-9
%N Dirichlet g.f.: Product_{k>=2} (1 - k^(-s))^3.
%F a(1) = 1; a(n) = -Sum_{d|n, d < n} A339318(n/d) * a(d).
%F a(p^k) = A010816(k) for prime p.
%Y Cf. A010816, A114592, A339318, A339701, A339703, A339704, A339705, A339706, A339707.
%K sign
%O 1,2
%A _Ilya Gutkovskiy_, Dec 13 2020