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A339704 Dirichlet g.f.: Product_{k>=2} (1 - k^(-s))^5. 7

%I #5 Dec 14 2020 10:28:44

%S 1,-5,-5,5,-5,20,-5,10,5,20,-5,-5,-5,20,20,-15,-5,-5,-5,-5,20,20,-5,

%T -55,5,20,10,-5,-5,-55,-5,-6,20,20,20,-45,-5,20,20,-55,-5,-55,-5,-5,

%U -5,20,-5,20,5,-5,20,-5,-5,-55,20,-55,20,20,-5,-55,-5,20,-5,-5,20,-55,-5,-5,20,-55

%N Dirichlet g.f.: Product_{k>=2} (1 - k^(-s))^5.

%F a(1) = 1; a(n) = -Sum_{d|n, d < n} A339320(n/d) * a(d).

%F a(p^k) = A000728(k) for prime p.

%Y Cf. A000728, A114592, A339320, A339701, A339702, A339703, A339705, A339706, A339707.

%K sign

%O 1,2

%A _Ilya Gutkovskiy_, Dec 13 2020

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Last modified April 19 14:10 EDT 2024. Contains 371792 sequences. (Running on oeis4.)