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A174651 Numbers n such that Sum_{k=1..n} k*Mobius(k) = n. 1

%I #17 Oct 05 2019 10:21:00

%S 1,88,125,5246

%N Numbers n such that Sum_{k=1..n} k*Mobius(k) = n.

%C No more terms < 10^7.

%t muSums = Accumulate@Table[MoebiusMu[k] k, {k, 10^7}]; A174651 = {}; For[i = 1, i <= Length@muSums, i++, If[muSums[[i]] == i, AppendTo[A174651, i]]]; A174651

%t smQ[x_]:=x==Total[Table[n*MoebiusMu[n],{n,x}]]; Select[Range[6000],smQ] (* _Harvey P. Dale_, Oct 05 2019 *)

%Y Cf. A008683, A002321, A055615, A068340.

%K nonn

%O 1,2

%A _Carl Najafi_, Dec 22 2012

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Last modified April 24 00:30 EDT 2024. Contains 371917 sequences. (Running on oeis4.)