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%I #5 Nov 22 2018 18:16:43
%S 1,0,0,0,1,1,1,0,0,0,1,0,1,0,0,0,1,1,1,0,0,0,1,0,1,0,0,0,1,1,1,0,0,0,
%T 1,0,1,0,0,0,1,1,1,0,0,0,1,0,1,0,0,0,1,1,1,0,0,0,1,0,1,0,0,0,1,1,1,0,
%U 0,0,1,0,1,0,0,0,1,1,1,0,0,0,1,0,1,0,0,0,1,1,1,0,0,0,1,0,1,0,0,0,1,1,1,0,0
%N Möbius transform of A320107.
%H Antti Karttunen, <a href="/A320106/b320106.txt">Table of n, a(n) for n = 1..65537</a>
%H <a href="/index/Ch#char_fns">Index entries for characteristic functions</a>
%F a(n) = Sum_{d|n} A008683(n/d) * A320107(d), where A008683 is Möbius mu-function.
%o (PARI)
%o A001227(n) = numdiv(n>>valuation(n, 2));
%o A064989(n) = {my(f); f = factor(n); if((n>1 && f[1,1]==2), f[1,2] = 0); for (i=1, #f~, f[i,1] = precprime(f[i,1]-1)); factorback(f)};
%o A252463(n) = if(!(n%2),n/2,A064989(n));
%o A320107(n) = A001227(A252463(n));
%o A320106(n) = sumdiv(n,d,moebius(n/d)*A320107(d));
%K nonn
%O 1
%A _Antti Karttunen_, Nov 22 2018