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Sum of prime factors (with repetition) of sum of prime factors (with repetition) of n.
2

%I #5 Mar 30 2012 18:50:32

%S 2,3,4,5,5,7,5,5,7,11,7,13,6,6,6,17,6,19,6,7,13,23,6,7,8,6,11,29,7,31,

%T 7,9,19,7,7,37,10,8,11,41,7,43,8,11,10,47,11,9,7,9,17,53,11,8,13,13,

%U 31,59,7,61,14,13,7,8,8,67,10,15,9,71,7,73,16,13,23,8,8,79,13,7,43,83,9,13,11

%N Sum of prime factors (with repetition) of sum of prime factors (with repetition) of n.

%C a(n) = A001414(A001414(n)). For further iterations see: A029908, A002217;

%C a(n)=n iff n is prime or 4.

%e 18 = 2*3*3 -> 2+3+3 = 2*2*2 -> 2+2+2 = 6: a(18) = 6.

%K nonn

%O 2,1

%A _Reinhard Zumkeller_, Apr 08 2003