The first element is chosen as 1, then the rest of the sequence is determined by a simple rule.
What integer comes next?

Hint: there are two possible answers depending on how one defines a key word in the simple rule.
The title is also a hint.

1, 3, 5, 7, 9, 11, 14, 18, 22, __

These Letters | Rating: 3.00
Posted on 2008-02-07 by Charlie (Solution Posted, 6 Comments)

oddmodonacci | Rating: 4.43
Posted on 2007-09-04 by jduval (Solution Posted, 3 Comments)

4,4,4,4.... | Rating: 4.33
Posted on 2007-07-31 by jduval (Solution Posted, 8 Comments)

Mean Sequence | Rating: 3.67
Posted on 2007-05-23 by Dennis (No Solution Yet, 7 Comments)

2 Dimensional – 3 Dimensional | Rating: 3.00
Posted on 2007-04-09 by Syzygy (Solution Posted, 3 Comments)

Alternating sextet |
Posted on 2007-03-30 by e.g. (No Solution Yet, 7 Comments)

Square Pisano, Get Sequence? |
Posted on 2007-03-14 by K Sengupta (Solution Posted, 4 Comments)