from Tkinter import *

global e

def calc():
	i = int(str(e.get()))
	iter = 1
	v = 0
	r = (i*2) + 1
	for iter in range(r):
		v = v+((1/iter) - (1/(iter +2)))
		iter +=2
	print v*4

window = Tk()
lbl = Label(window, text='How many iterations?')
lbl.pack(side=TOP)
e = Entry(name='text')
e.pack(expand = YES, fill = BOTH)
b = Button(window, text='Calculate', command=calc)
b.pack(side=BOTTOM)
window.mainloop()