Thread:Ametz/@comment-5116140-20130122173455/@comment-5116140-20130123002125

Let XP(n) denote the total number of experience points needed to reach level n.

Let a + b*n be the equation of the red line shown above over any interval in which it appears to fit the curve.

Then we can approximate XP(n) = 10^(a+b*n)

This will give a result with a small percentage error, if we select the subinterval to avoid the downturns at each end.

Even better, find the best-fit parabola  or even quartic over any sub-interval of n = 1 to 70. That will grab much of the concavity at the ends and reduce the error rather substantially.

XP(n) = 10^(a+b*n - c*n^2)

But alas, these formulas are of course only approximations  and are only as good as the fit of the above line shown in red or the best-fit parabola, which is not shown.