Rfg(x)

The $$\operatorname{rfg}(x)$$ function is a function defined by the following:

$$\operatorname{rfg}(x) = x^2(x(x + 1))(x(x + 2))(x(x + 3))...(x(2x))$$

Let's plug in some values of x and see what we get:

$$\operatorname{rfg}(0) = 0$$

$$\operatorname{rfg}(1) = 2$$

$$\operatorname{rfg}(2) = 192$$

$$\operatorname{rfg}(3) = 21960$$

$$\operatorname{rfg}(4) = 6881290$$

You can see how quickly this grows. Now we can do the same thing for $$i$$:

$$\operatorname{rfg}(xi) = i(\operatorname{rfg}(x))$$

$$\operatorname{rfg}(x + yi) = (\operatorname{rfg}(x) + \operatorname{rfg}(y)) + (x + y)i$$

$$\operatorname{rfg}(x - yi) = (\operatorname{rfg}(x) - \operatorname{rfg}(y)) - (x + y)i$$

The $$\operatorname{rfg}(x)$$ function can also have as many parameters as you want because:

$$\operatorname{rfg}(x, y) = \operatorname{rfg}(x)(\operatorname{rfg}(y))$$

I want you to think about what this might be useful for. If it is useful, then explain why.