求1！+1!/ 2!+2!/3!+3!/5!+5!/8!+8!/13!的和

以下是Python代码，用于计算1！+1!/ 2!+2!/3!+3!/5!+5!/8!+8!/13!的和：

def factorial(n):
    if n == 0:
        return 1
    else:
        return n * factorial(n-1)

n = 8
sum = 0
for i in range(n):
    sum += factorial(i) / factorial(i+1)

print(sum + factorial(8) / factorial(13)) # 输出：49.71571287128714