Now I get it 
Just to avoid confusion, it's:
Either step on switches 1, 2, 3,...
and then step on switches 2, 4, 6,...
and then step on switches 3, 6, 9,...
and so on,
or think about it.
I will change the hint the next update. Due to the length restrictions it will be:
Part1: EITHER STEP ON EVERY SWITCH, AND THEN STEP ON EVERY OTHER SWITCH, AND THEN STEP ON EVERY THIRD, AND SO ON, OR THINK ABOUT IT.
Part2: IF YOU SOLVE THE MATHEMATICAL PUZZLE, YOU CAN SAVE YOURSELF A LOT OF WORK.
I thought of Moros, the personification of impending doom, and deadly fate in Greek mythology B)