problem 65

problem61to70/problem65.py

@@ -0,0 +1,22 @@
+# problem 65
+# there is a closed form fomula for the numerator 
+n_lst = [2,3]
+e_lst = []
+for i in range(1,99/3+1):
+	e_lst.append(1)
+	e_lst.append(2*i)
+	e_lst.append(1)
+# print e_lst
+ind = 2
+for i in range(len(e_lst)-1):
+	n_lst.append(n_lst[ind-1]*e_lst[i+1]+n_lst[ind-2])
+	ind+=1
+
+print n_lst
+print len(n_lst)	
+last_term = str(n_lst[-1])
+sum = 0
+for d in last_term:
+	sum = sum + (int(d))
+
+print sum