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A339718 Dirichlet g.f.: Product_{k>=2} 1 / (1 + k^(-s))^3. 8

%I #5 Dec 14 2020 16:00:51

%S 1,-3,-3,3,-3,6,-3,-4,3,6,-3,-3,-3,6,6,9,-3,-3,-3,-3,6,6,-3,9,3,6,-4,

%T -3,-3,-3,-3,-12,6,6,6,3,-3,6,6,9,-3,-3,-3,-3,-3,6,-3,-18,3,-3,6,-3,

%U -3,9,6,9,6,6,-3,-3,-3,6,-3,15,6,-3,-3,-3,6,-3,-3,-15,-3,6,-3,-3,6,-3,-3,-18

%N Dirichlet g.f.: Product_{k>=2} 1 / (1 + k^(-s))^3.

%F a(1) = 1; a(n) = -Sum_{d|n, d < n} A339335(n/d) * a(d).

%F a(p^k) = A022598(k) for prime p.

%Y Cf. A022598, A316441, A339335, A339717, A339719, A339720, A339721, A339722.

%K sign

%O 1,2

%A _Ilya Gutkovskiy_, Dec 14 2020

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Last modified April 25 11:21 EDT 2024. Contains 371967 sequences. (Running on oeis4.)