Culling operation

Hello everyone,

I have some questions about cull patterns or boolean patterns.
I divided a surface by U and V values (with sliders, so it's all parametrical), you could also say I am actually creating a grid, it doesn't really matter.

As you see in the first picture, I want to select specific points of that grid (the bold circles). Because the light circles are going to be selected for a different list, and because all those circled points need to have half the distance to the upper and lower side of the surface than between themselves, I just started with one big grid.

So, having this original grid, I created a new subdivision with only half the V-values. it then was quite easy to deselect the first and the last row (picture 2). Unfortunately the same does NOT work with the U-values, it wouldn't be possible to have half the distance to the lower and upper side of the surface.

So this is the problem.
I would actually like to select EVERY 2nd row. So in this case case: 6 times TRUE, 6 times FALSE. The cull pattern would work, but only manually. Or is there a way to define such a boolean pattern that is attached to a slider?
Or is there another way?