import decimal
import numpy as np

from decimal import *
getcontext().prec = 1000

def my_factorial (number):
 facto = Decimal ('1')
 for n in range (1, round (number) + 1, 1):
  facto = Decimal (facto) * Decimal (n)
 return facto

bern = []
nmax = 2000

# n = 0
bern.append ((Decimal ('1')))

# n = 1
bern.append ((- Decimal ('1') / Decimal ('2')))

for n in range (2, nmax + 10, 1):

 temp = Decimal ('0')

 for i in range (0, round (n), 1):
  temp = Decimal (temp) - my_factorial (Decimal (n)) * Decimal (bern[i]) / (my_factorial (Decimal (n) + Decimal ('1') - Decimal (i)) * my_factorial (Decimal (i)))

 bern.append ((Decimal (temp)))

for i in range (2, nmax + 4, 2):

 temp = Decimal (bern[i + 2]) / Decimal (bern[i])

 if temp < 0:
  temp = Decimal (temp) * Decimal ('-1')

 temp = Decimal ('2') * Decimal (temp) ** Decimal ('0.5') / Decimal (i)

 print ('{:22.20f}'.format (temp))