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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