Not at all. It's in your nature to see patterns and I see it as your strength. If you enjoy playing with numbers like this, I would encourage you to investigate this direction, even as an adjunct to a greater interest like physics, computers, or even something like statistics or research psychology.

In this case, since the multiplication will distribute across your summation (regardless of the magnitude of N), the net effect should be a cancellation of everything after the first "*" during the division process. This would lead to the appearance of a constant in this particular formula.

For the math purists:

Please pardon my inexact mathematical terminology . I know magnitude is typically used in vector calculus and that this may not technically be a formula in true "f(x)=" style per se... but in the interests of brevity and understandability I went this direction.