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A168649 a(n) = (1/n)*Sum_{d|n} moebius(d)*2^(n^2/d). 0

%I #9 Aug 20 2023 10:51:08

%S 2,6,168,16320,6710880,11453201760,80421421917312,2305843008676823040,

%T 268650182136584246132736,126765060022822827559679531520,

%U 241677817415439249618874010960062464,1858395433210885261794249658823668075069440

%N a(n) = (1/n)*Sum_{d|n} moebius(d)*2^(n^2/d).

%F a(n) = (1/n)*Sum_{d|n} moebius(n/d)*(2^n)^d.

%t a[n_] := DivisorSum[n, MoebiusMu[#] * 2^(n^2/#) &] / n; Array[a, 10] (* _Amiram Eldar_, Aug 18 2023 *)

%o (PARI) a(n)=(1/n)*sumdiv(n,d,moebius(d)*2^(n^2/d))

%Y Cf. A001037, A008683.

%K nonn

%O 1,1

%A _Paul D. Hanna_, Dec 01 2009

%E a(12) from _Amiram Eldar_, Aug 18 2023

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Last modified April 25 11:24 EDT 2024. Contains 371967 sequences. (Running on oeis4.)