BTW, here are array formulas that do it...
{=SUM(IF({1,0,0,1,0,0,1,0,0,1,0,0},$A2:$L2))}
or, if you like...
{=SUM(IF(MID(REPT(100,4),COLUMN($A:$L),1)+0,$A2:$L2))}
Note: These are array formulas which must be
entered using the Control+Shift+Enter key
combination. The outermost braces, {}, are not
entered by you -- they're supplied by Excel in
recognition of a properly entered array formula.
...here are some variants using the 2nd formula...
Sum every 3rd column beginning with the 2nd...
{=SUM(IF(MID(REPT("010",4),COLUMN($A:$L),1)+0,$A2:$L2))}
Sum every 4th column begining with the 4th...
{=SUM(IF(MID(REPT("0001",3),COLUMN($A:$L),1)+0,$A2:$L2))}
Sum every other column beginning with the 2nd...
{=SUM(IF(MID(REPT("01",6),COLUMN($A:$L),1)+0,$A2:$L2))}
This is just too much fun!! : )