For those interested, simply copypaste the following code into a notepad, save it as a .py file, run it with a python module, and you'll get a graph of all incomes up to 3000 and each of their potential troop placements per turn. Its a simple calculation, but having it all at a glance lets you quickly see what all of your competition can place in troops per turn based on their gold incomes.
Simply replace the "50" in "ArmyEstimator(50)" with whatever gold cost modifier your game has. The x axis is gold, the y axis is troops.
import numpy as np
import matplotlib.pyplot as plt
def ArmyEstimator(modifier):
x=list(range(10, 3000, 10))
x.sort()
y=list()
for i in x:
army=0
z=1
while i>=modifier*z:
i-=modifier*z
army+=modifier
z+=1
army+=int(i/z)
i=int(i/z)
y.append(army)
plt.plot(x, y, 'bo')
plt.show()
ArmyEstimator(50)
Hope somebody finds this useful, I've been using it for ages and finally decided to share.