( sumColumnsGreaterThan2 - sumColumns1And2 ) / theInitialAmount

Column Difference Derivation

Special Case: x0=100, p=1, with annual compounding
General Case: x0, p, and the compounding period are arbitrary
Each power of ten is multiplied by its subsequent column entries.
The constants   c = y = 100   keep the binomial numbers conspicuous.

On this page, I will present a derivation of the function that was simply stated on my economic hypothesis page. This derivation is a check on earlier work, and I seem to have gotten it right the first time.