I have an equation of $y = \lfloor 400(x-6)^{1.1} \rfloor$ where x is equal to or greater than 6 and increases by an increment of 1.
I want to calculate what the sum of the equations added up together might be.
For example: $\lfloor 400([x+1]-6)^{1.1} \rfloor + \lfloor 400([x+2]-6)^{1.1} \rfloor + \lfloor 400([x+3]-6)^{1.1} \rfloor + ... +\lfloor 400([x+n]-6)^{1.1} \rfloor = ?$
I wondered if there is a way to efficiently sum up such an equation in terms of n so I would not have to manually input 100 equations into my calculator.
edit source: Trying to figure out a pattern's formula for a game.