This project calculates part (the first 200001 terms) of an infinite series for an integer multiple of any positive integer power of π. The sum approaches the N-1th derivative of tan(x) at x = π/4 multiplied by π^N ! The first 5 sums are π, 2π^2, 4π^3, 16π^4 and 80π^5 and the first sum is the Gregory-Leibniz series .
I was investigating an infinite series I discovered and found a family of sums for positive whole values of N. Yes ,I know it c o n v e r g e s s l o w l y.
