调用函数

import scipy.misc
import numpy as np
from decimal import *x = [i for i in range(10, 110, 10)]
print(x)def countA_with_n(n):global Aif n==0:A[n]=1else:for i in range(1, n+1):if A[n-i]==0:A[n-i]=countA_with_n(n - i)#t=(-1) ** (i + 1) * 2 ** ((n - i) * i)* scipy.misc.comb(n, i)*A[n-i]A[n] = Decimal(A[n]) + Decimal((-1) ** (i + 1)) * Decimal(2 ** ((n - i) * i)) * Decimal(scipy.misc.comb(n, i)) *Decimal(A[n-i])#A[n]+=treturn A[n]

主函数: 数组声明不同带来的报错与否

1. 报错decimal.InvalidOperation的数组初始化版本

#主函数
for a in x:A = np.zeros(a+1) #前40可以计算，50时会报错‘decimal.InvalidOperation: [<class 'decimal.InvalidOperation'>]’#A = [0]*(a+1) #可行的声明方法print(str(a),str(countA_with_n(a)))

2. 可行的初始化版本

for a in x:A = [0]*(a+1) #可行的声明方法print(str(a),str(countA_with_n(a)))

输出结果

1. 报错时的内容

10 4.175098976430598e+18
20 2.3448804510510887e+72
30 2.7148544371675283e+158
C:...py:18: DeprecationWarning:     `comb` is deprecated!Importing `comb` from scipy.misc is deprecated in scipy 1.0.0. Use `scipy.special.comb` instead.A[n] = Decimal(A[n]) + Decimal((-1) ** (i + 1)) * Decimal(2 ** ((n - i) * i)) * Decimal(scipy.misc.comb(n, i)) *Decimal(A[n-i])
40 1.1241428263057385e+276
Traceback (most recent call last):File "C:xxx.py", line 65, in <module>print(str(a),str(countA_with_n(a)))File "...", line 16, in countA_with_nA[n-i]=countA_with_n(n - i)File "...", line 16, in countA_with_nA[n-i]=countA_with_n(n - i)File "...", line 16, in countA_with_nA[n-i]=countA_with_n(n - i)[Previous line repeated 2 more times]File "...", line 18, in countA_with_nA[n] = Decimal(A[n]) + Decimal((-1) ** (i + 1)) * Decimal(2 ** ((n - i) * i)) * Decimal(scipy.misc.comb(n, i)) *Decimal(A[n-i])
decimal.InvalidOperation: [<class 'decimal.InvalidOperation'>]

2. 正常的输出计算结果

DeprecationWarning:     `comb` is deprecated!Importing `comb` from scipy.misc is deprecated in scipy 1.0.0. Use `scipy.special.comb` instead.A[n] = Decimal(A[n]) + Decimal((-1) ** (i + 1)) * Decimal(2 ** ((n - i) * i)) * Decimal(scipy.misc.comb(n, i)) *Decimal(A[n-i])
10 4175098976430598143
20 2.344880451051088988152559846E+72
30 2.714854437167529438448086150E+158
40 1.124142826305737256464230893E+276
50 7.150572516568295733815015286E+424
60 4.231846207434397246471425291E+604
70 1.670508589429661015982839133E+815
80 3.469441880795996245588913622E+1056
90 3.173623968493402552666007937E+1328
100 1.113552460282985747462212849E+1631

原因（是否是数组与列表不同引起（？

参看 数组与列表的区别