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A339706 Dirichlet g.f.: Product_{k>=2} (1 - k^(-s))^7. 7

%I #5 Dec 14 2020 10:28:56

%S 1,-7,-7,14,-7,42,-7,7,14,42,-7,-56,-7,42,42,-49,-7,-56,-7,-56,42,42,

%T -7,-105,14,42,7,-56,-7,-203,-7,21,42,42,42,-35,-7,42,42,-105,-7,-203,

%U -7,-56,-56,42,-7,238,14,-56,42,-56,-7,-105,42,-105,42,42,-7,91,-7,42,-56,35,42

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

%F a(1) = 1; a(n) = -Sum_{d|n, d < n} A339322(n/d) * a(d).

%F a(p^k) = A000730(k) for prime p.

%Y Cf. A000730, A114592, A339322, A339701, A339702, A339703, A339704, A339705, A339707.

%K sign

%O 1,2

%A _Ilya Gutkovskiy_, Dec 13 2020

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Last modified April 17 23:23 EDT 2024. Contains 371767 sequences. (Running on oeis4.)