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A096461 a(1)=1, a(2)=2; for n >= 2, a(n+1) = a(n) + sum of prime factors of a(n). +0
1
1, 2, 4, 8, 14, 23, 46, 71, 142, 215, 263, 526, 791, 911, 1822, 2735, 3287, 3479, 3564, 3591, 3626, 3679, 3975, 4041, 4496, 4785, 4833, 5021, 10042, 15065, 15224, 15414, 15793, 16739, 17639, 18239, 18336, 18540, 18658, 19170, 19257, 19405, 23291 (list; graph; listen)
OFFSET

1,2

LINKS

T. D. Noe, Table of n, a(n) for n=1..1000

Gil Broussard, Sum of Prime Factors Sequence. [Broken link]

EXAMPLE

Given a(4)=8 whose prime factorization is 2*2*2, add to a(4) its prime factors (2+2+2)=6 to give a(5)=8+6=14.

CROSSREFS

Sequence in context: A107055 A018153 A101687 this_sequence A049701 A005598 A100250

Adjacent sequences: A096458 A096459 A096460 this_sequence A096462 A096463 A096464

KEYWORD

nonn,nice

AUTHOR

Gil Broussard (kikiriki(AT)mindspring.com), Aug 12 2004

EXTENSIONS

Definition corrected by N. J. A. Sloane (njas(AT)research.att.com), Jul 16 2007

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Last modified December 9 18:50 EST 2009. Contains 170568 sequences.


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