You can use MySQL's user variables like this:
SET @num = -1;
SELECT DATE_ADD( '2009-01-01', interval @num := @num+1 day) AS date_sequence,
your_table.* FROM your_table
WHERE your_table.other_column IS NOT NULL
HAVING DATE_ADD('2009-01-01', interval @num day) <= '2009-01-13'
@num is -1 because you add to it the first time you use it. Also, you can't use "HAVING date_sequence" because that makes the user variable increment twice for each row.