My thinking is mainly based on logic.

If it is not an odd number series but a natural number series, it will be much easier to see, so add an even number.

1 2 3 4 5 6 7 8

16 15 14 13 12 1 1 10 9

……

Divide 2007 by the number of digits in each row.

2007/8 = over 250 7

Therefore, 2007 is on the 25 1 line.

Since the line 25 1 is an odd line, the numbers are arranged from left to right. The order of columns 25 1 is:

200 1 2002 2003 2004 2005 2006 2007 2008

Remove all even numbers and you get: 20012003, 2005, 2007.

So 2007 is in the last column of line 25 1, which is the fifth column.