Self-Complementary Sieve

pauldhanna at juno.com pauldhanna at juno.com
Wed Mar 12 23:15:48 CET 2008


Seqfans, 
      Inspired by Sune Kristian Jakobsen's sequences A138007, A138008, 
the following idea came to mind. 
 
Could someone obtain more terms (done by hand - may be in error) 
and submit these NEW (not yet submitted) sequences?  
 
I wonder if any interesting properties exist in these sequences. 
Thanks, 
     Paul 
-------------------------------------------
A138203 
 
Sieve: start with the natural numbers; at the n-th step in the sieve 
remove every A138204(n)-th term from the sequence remaining in the prior
step, 
where A138204 is the complement to this sequence starting with
A138204(1)=2. 
 
1,3,5,9,11,17,19,21,25,27,33,... 
  
-------------------------------------------
 
A138204 
 
Complement of sieve A138203 such that the n-th step of the sieve removes 
every a(n)-th term from the sequence remaining in the prior step,
starting with a(1)=2. 
 
2,4,6,7,8,10,12,13,14,15,16,18,... 
--------------------------------------------
END.
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