LINKS
Antti Karttunen, <a href="/A164848/b164848_1.txt">Table of n, a(n) for n = 1..65537</a>
Antti Karttunen, <a href="/A164848/b164848_1.txt">Table of n, a(n) for n = 1..65537</a>
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Antti Karttunen, <a href="/A164848/b164848_1.txt">Table of n, a(n) for n = 1..65537</a>
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proposed
From Amiram Eldar, Oct 28 2023: (Start)
Multiplicative with a(2^3) = 2^min(e-1,2), a(3^e) = 3, and a(p^e) = 1 for a prime p >= 5.
Dirichlet g.f.: zeta(s) * (1 + 1/2^(2*s) + 1/2^(3*s-1)) * (1 + 2/3^s).
Asymptotic mean: Limit_{m->oo} (1/m) * Sum_{k=1..m} a(k) = 5/2. (End)
nonn,easy,mult
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(MAGMAMagma) [Gcd(12, n div Gcd(2, n)): n in [1..100]]; // Vincenzo Librandi, Jul 26 2018