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A334206 Fully additive with a(p) = 1 + a(A014682(p)) when p is prime and a(n*m) = a(n) + a(m) when m,n > 1.

%I A334206 #7 May 13 2020 18:59:34
%S A334206 0,1,5,2,4,6,11,3,10,5,10,7,7,12,9,4,9,11,14,6,16,11,16,8,8,8,15,13,
%T A334206 13,10,31,5,15,10,15,12,15,15,12,7,33,17,12,12,14,17,30,9,22,9,14,9,9,
%U A334206 16,14,14,19,14,22,11,19,32,21,6,11,16,19,11,21,16,29,13,16,16,13,16,21,13,21,8,20,34,13,18,13,13,18,13,21
%N A334206 Fully additive with a(p) = 1 + a(A014682(p)) when p is prime and a(n*m) = a(n) + a(m) when m,n > 1.
%H A334206 Antti Karttunen, <a href="/A334206/b334206.txt">Table of n, a(n) for n = 1..20879</a>
%H A334206 <a href="/index/3#3x1">Index entries for sequences related to 3x+1 (or Collatz) problem</a>
%o A334206 (PARI)
%o A334206 A014682(n) = (if(n%2, 3*n+1, n)/2);
%o A334206 A334206(n) = if(1==n, n-1, if(isprime(n), 1+A334206(A014682(n)), my(f=factor(n)); (apply(A334206, f[, 1])~ * f[, 2])));
%Y A334206 Cf. A014682.
%Y A334206 Cf. also A064097, A334200.
%K A334206 nonn
%O A334206 1,3
%A A334206 _Antti Karttunen_, May 13 2020