Python | sympy.genocchi() method

With the help of sympy.genocchi() method, we can find Genocchi numbers in SymPy.

genocchi(n) -

The Genocchi numbers are a sequence of integers G_n that satisfy the relation .

Syntax: genocchi(n) Parameter: n – It denotes the number upto which genocchi number is to be calculated. Returns: Returns the n^th genocchi number.

Example #1:

# import sympy
from sympy import *

n = 7
print("Value of n = {}".format(n))

# Use sympy.genocchi() method
nth_genocchi = genocchi(n)

print("Value of nth genocchi number : {}".format(nth_genocchi))

Output:

Value of n = 7
Value of nth genocchi number : 0

Example #2:

# import sympy
from sympy import *

n = 10
print("Value of n = {}".format(n))

# Use sympy.genocchi() method
n_genocchi = [genocchi(x) for x in range(1, 11)]

print("N genocchi number are : {}".format(n_genocchi))

Output:

Value of n = 10
N genocchi numbers are : [1, -1, 0, 1, 0, -3, 0, 17, 0, -155]