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A320017 a(1) = 1; for n > 1, a(n) = Product_{d|n} A019565(d)^[moebius(d) = +1].

%I A320017 #6 Nov 08 2018 21:13:40
%S A320017 1,2,2,2,2,30,2,2,2,42,2,30,2,210,420,2,2,30,2,42,220,330,2,30,2,462,
%T A320017 2,210,2,132300,2,2,52,78,156,30,2,390,780,42,2,346500,2,330,420,2730,
%U A320017 2,30,2,42,1716,462,2,30,8580,210,4004,6006,2,132300,2,30030,220,2,68,128700,2,78,340,343980,2,30,2,714,420,390,2380,2702700,2,42,2
%N A320017 a(1) = 1; for n > 1, a(n) = Product_{d|n} A019565(d)^[moebius(d) = +1].
%H A320017 Antti Karttunen, <a href="/A320017/b320017.txt">Table of n, a(n) for n = 1..8192</a>
%F A320017 a(1) = 1; for n > 1, a(n) = Product_{d|n} A019565(d)^[A008683(d) > 0].
%F A320017 For n >= 2, A048675(a(n)) = A318674(n).
%o A320017 (PARI)
%o A320017 A019565(n) = {my(j,v); factorback(Mat(vector(if(n, #n=vecextract(binary(n), "-1..1")), j, [prime(j), n[j]])~))}; \\ From A019565
%o A320017 A320017(n) = if(1==n,n,my(m=1); fordiv(n,d,if(1==moebius(d), m *= A019565(d))); (m));
%Y A320017 Cf. A019565, A320018 (rgs-transform).
%Y A320017 Cf. also A300831, A300832.
%K A320017 nonn
%O A320017 1,2
%A A320017 _Antti Karttunen_, Nov 08 2018