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%I #5 Dec 14 2020 10:28:50
%S 1,-6,-6,9,-6,30,-6,10,9,30,-6,-24,-6,30,30,-30,-6,-24,-6,-24,30,30,
%T -6,-84,9,30,10,-24,-6,-114,-6,0,30,30,30,-54,-6,30,30,-84,-6,-114,-6,
%U -24,-24,30,-6,96,9,-24,30,-24,-6,-84,30,-84,30,30,-6,-24,-6,30,-24,11,30
%N Dirichlet g.f.: Product_{k>=2} (1 - k^(-s))^6.
%F a(1) = 1; a(n) = -Sum_{d|n, d < n} A339321(n/d) * a(d).
%F a(p^k) = A000729(k) for prime p.
%Y Cf. A000729, A114592, A339321, A339701, A339702, A339703, A339704, A339706, A339707.
%K sign
%O 1,2
%A _Ilya Gutkovskiy_, Dec 13 2020
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