I tried programming the second to last equation to approximate pi (for no real reason) but ran into something unexpected.
Here is the code (in python):
num=int(input(": "))
pi=4
for n in range(num):
den=(2*(n+1)+1)**2
pi=pi*(den-1)/den
print(pi)
I ran the loop 1,000,000,000 times and the result dropped below pi. Is that supposed to happen?
