A138203 - OEIS

%I #6 Oct 03 2013 01:32:57

%S 1,3,5,9,11,17,21,27,33,37,43,51,59,69,81,91,97,105,117,133,137,149,

%T 169,181,195,211,213,235,259,273,297,307,313,339,361,369,403,409,435,

%U 465,481,485,515,539,565,581,627,641,665,689,707,739,755,785,821,853,873

%N 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.

%C Terms computed by _Joshua Zucker_.

%e Process: start with the natural numbers and then

%e delete every 2nd term:

%e (1,3,5,7,9,11,13,15,17,19,21,23,25,27,29,...);

%e 4 is missing, so delete every 4th term (7,15,23,...):

%e (1,3,5,9,11,13,17,19,21,25,27,29,...);

%e 6 is missing, so delete every 6th term (13,29,...):

%e (1,3,5,9,11,17,19,21,25,27,...);

%e 7 is missing, delete the 7th term (19,...):

%e (1,3,5,9,11,17,21,25,27,...);

%e 8 is missing, delete the 8th term (25,...):

%e (1,3,5,9,11,17,21,27,...);

%e continue in this way to generate this sequence;

%e the missing terms form sequence A138204.

%Y Cf. A138204.

%K nonn

%O 1,2

%A _Paul D. Hanna_, Apr 16 2008