Python | sympy.euler() method

With the help of sympy.euler() method, we can find the Euler number and Euler polynomial in SymPy.

euler(n) -

Syntax: euler(n)

Parameter:
n – It denotes the nth Euler number.

Returns: Returns the n^th Euler number.

Example #1:

# import sympy
from sympy import * n = 4
print("Value of n = {}".format(n))

# Use sympy.euler() method
nth_euler = euler(n)

print("Value of nth euler number : {}".format(nth_euler))

Output:

Value of n = 4
Value of nth euler number : 5

euler(n, k) -

Syntax: euler(n, k)

Parameter:
n – It denotes the order of the Euler polynomial.
k – It denotes the variable in the Euler polynomial.

Returns: Returns the expression of the Euler polynomial or its value.

Example #2:

# import sympy
from sympy import * n = 5
k = symbols('x')
print("Value of n = {} and k = {}".format(n, k))

# Use sympy.euler() method
nth_euler_poly = euler(n, k)

print("The nth euler polynomial : {}".format(nth_euler_poly))

Output:

Value of n = 5 and k = x
The nth euler polynomial : x**5 - 5*x**4/2 + 5*x**2/2 - 1/2

Example #3:

# import sympy
from sympy import * n = 4
k = 3
print("Value of n = {} and k = {}".format(n, k))

# Use sympy.euler() method
nth_euler_poly = euler(n, k)

print("The nth euler polynomial value : {}".format(nth_euler_poly))

Output:

Value of n = 4 and k = 3
The nth euler polynomial value : 30