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A344768 a(n) = n - A344767(n); Möbius transform of A344765.

%I A344768 #14 May 31 2021 21:25:27
%S A344768 0,0,2,0,2,7,2,0,3,12,2,11,2,15,15,0,2,19,2,13,22,23,2,25,5,28,9,32,2,
%T A344768 19,2,0,33,36,30,41,2,39,40,48,2,28,2,27,47,47,2,47,7,50,51,29,2,53,
%U A344768 58,23,58,60,2,72,2,63,48,0,55,66,2,72,69,63,2,24,2,76,76,43,71,77,2,47,27,84,2,57,70,87,87,96,2,73
%N A344768 a(n) = n - A344767(n); Möbius transform of A344765.
%H A344768 Antti Karttunen, <a href="/A344768/b344768.txt">Table of n, a(n) for n = 1..16384</a>
%H A344768 Antti Karttunen, <a href="/A344768/a344768.txt">Data supplement: n, a(n) computed for n = 1..65537</a>
%F A344768 a(n) = n - A344767(n) = n - Sum_{d|n} A008683(n/d) * A011772(d).
%F A344768 a(n) = Sum_{d|n} A008683(n/d) * A344765(d).
%o A344768 (PARI)
%o A344768 A344767(n) = sumdiv(n,d,moebius(n/d)*A011772(d));
%o A344768 A344768(n) = (n-A344767(n));
%Y A344768 Cf. A008683, A011772, A344765, A344767.
%K A344768 nonn,look
%O A344768 1,3
%A A344768 _Antti Karttunen_, May 30 2021