python 裴切那契数
时间: 2023-10-28 12:54:18 浏览: 91
裴切那契数(Pell数)是一种数学序列,定义为以下递归式:
P_0 = 0, P_1 = 1, P_n = 2P_{n-1} + P_{n-2} (n \geq 2)
前几个裴切那契数为:
0, 1, 2, 5, 12, 29, 70, 169, 408, 985, ...
Python实现:
def pell(n):
if n == 0:
return 0
elif n == 1:
return 1
else:
return 2 * pell(n-1) + pell(n-2)
# 测试
for i in range(10):
print(pell(i))
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