Python | sympy.lucas() method

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

lucas(n) -

Lucas numbers satisfy a recurrence relation similar to that of the Fibonacci sequence, in which each term is the sum of the preceding two. They are generated by choosing the initial values and and the recurrence relation .

Syntax: lucas(n)

Parameter:
n – It denotes the number upto which lucus number is to be calculated.

Returns: Returns the nth lucas number.

Example #1:

 # import sympy  from sympy import *     n = 7 print("Value of n = {}".format(n))     # Use sympy.lucas() method  nth_lucas = lucas(n)          print("Value of nth lucas number : {}".format(nth_lucas))

Output:

Value of n = 7
Value of nth lucas number : 29

Example #2:

 # import sympy  from sympy import *     n = 10 print("Value of n = {}".format(n))     # Use sympy.lucas() method  n_lucas = [lucas(x) for x in range(11)]          print("N lucas number are : {}".format(n_lucas))

Output:

Value of n = 10
N lucas number are : [2, 1, 3, 4, 7, 11, 18, 29, 47, 76, 123]

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