

A138008


Produced by a sieve: Start with the natural numbers; at the kth step remove every A138007(k+1)th term of the sequence remaining after the (k1)st sieving step.


2



1, 3, 5, 9, 13, 17, 19, 27, 29, 35, 43, 45, 57, 59, 61, 67, 81, 83, 93, 99, 107, 115, 123, 125, 137, 141, 149, 163, 165, 173, 189, 195, 201, 213, 217, 219, 229, 243, 249, 267, 269, 275, 283, 297, 307, 313
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OFFSET

1,2


COMMENTS

The sequence A138007 is defined using this sequence, in the same way as A138007 is used to define this sequence.
The sequences can be found this way:
Define a(n,1)=n.
Now write the natural numbers and run this sieve: In the kth step remove every a(k+1,1)th number that remained after k1 step. You will get this:
1, 3, 7, 13, 19, ... (A000960).
Now let a(n,2) be nth number in this sequence.
In the same way: Define a(n,i+1) to be the nth number left after running the similar sieve on the natural numbers using a(n,i) instead of a(n,1). Now:
a(n,2i+1)> A138007(n) when i>infinity and,
a(n,2i)> A138008(n) when i>infinity.


LINKS

Table of n, a(n) for n=1..46.


EXAMPLE

Start with the natural numbers:
1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, ...
Remove every A138007(2)=2nd term:
1, 3, 5, 7, 9, 11, 13, 15, 17, 19, ...
Remove every A138007(3)=4th term:
1, 3, 5, 9, 11, 13, 17, 19, ...
Remove every A138008(4)=5th term:
1, 3, 5, 9, 13, 17, 19, ...
and so on.


CROSSREFS

Cf. A138007.
Sequence in context: A076052 A340377 A050556 * A063954 A123509 A196094
Adjacent sequences: A138005 A138006 A138007 * A138009 A138010 A138011


KEYWORD

nonn


AUTHOR

Sune Kristian Jakobsen (sunejakobsen(AT)hotmail.com), Feb 27 2008


STATUS

approved



