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A081758

Sum of prime factors (with repetition) of sum of prime factors (with repetition) of n.
(history; published version)

#5 by Russ Cox at Fri Mar 30 18:50:32 EDT 2012

AUTHOR

_Reinhard Zumkeller (reinhard.zumkeller(AT)gmail.com), _, Apr 08 2003

Discussion

Fri Mar 30

18:50

OEIS Server: https://oeis.org/edit/global/246

#4 by N. J. A. Sloane at Fri Jan 09 03:00:00 EST 2009

KEYWORD

nonn,new

nonn

AUTHOR

Reinhard Zumkeller (reinhard.zumkeller(AT)lhsystemsgmail.com), Apr 08 2003

#3 by N. J. A. Sloane at Wed Dec 06 03:00:00 EST 2006

COMMENTS

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

KEYWORD

nonn,new

nonn

#2 by N. J. A. Sloane at Sat Apr 09 03:00:00 EDT 2005

EXAMPLE

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

KEYWORD

nonn,new

nonn

#1 by N. J. A. Sloane at Fri May 16 03:00:00 EDT 2003

NAME

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

DATA

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, 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, 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

OFFSET

2,1

COMMENTS

a(n) = A001414(A001414(n)), for further iterations see: A029908, A002217;

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

EXAMPLE

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

KEYWORD

nonn

AUTHOR

Reinhard Zumkeller (reinhard.zumkeller(AT)lhsystems.com), Apr 08 2003

STATUS

approved