Just had a quick look at this and the following formula worked for me:
=SUM(IF(ISEVEN(COLUMN(A1:Z1)),A1:Z1,""))
It is an array formula so rather than pasting it onto a cell directly you will need to paste it into the formula bar then hit CTRL+SHIFT+ENTER
Z1 in the formula is the right-most column in the sum. To calculate all possible columns substitute the two Z1s for IV1 in Excel 2003 or earlier, or XFD1 in Excel 2007 or later.
This will add up column 2, 4, 6 etc. To add up 1, 3, 5, etc change ISEVEN to ISODD.