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Python | sympy.fibonacci() method
• Last Updated : 14 Jul, 2019

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

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## `fibonacci(n) - ` The Fibonacci numbers are the integer sequence defined by the initial terms , and the two-term recurrence relation . Syntax: fibonacci(n) Parameter: n – It denotes the number upto which Fibonacci number is to be calculated. Returns: Returns the nth Fibonacci number. Example #1: filter_none edit close play_arrow link brightness_4 code `# import sympy  ` `from` `sympy ``import` `*`  ` `  `n ``=` `7` `print``(``"Value of n = {}"``.``format``(n)) ` `  `  `# Use sympy.fibonacci() method  ` `nth_fibonacci ``=` `fibonacci(n)   ` `     `  `print``(``"Value of nth fibonacci number : {}"``.``format``(nth_fibonacci))   ` chevron_right filter_none Output:```Value of n = 7 Value of nth fibonacci number : 13 ```` ```` fibonacci(n, k) - ```The Fibonacci polynomials are defined by , , and for . For all positive integers , . Syntax: fibonacci(n, k) Parameter: n – It denotes the nth Fibonacci polynomial. k – It denotes the variable in the Fibonacci polynomial. Returns: Returns the the nth Fibonacci polynomial in k, Fn(k) Example #2: filter_none edit close play_arrow link brightness_4 code `# import sympy  ` `from` `sympy ``import` `*`  ` `  `n ``=` `5` `k ``=` `symbols(``'x'``) ` `print``(``"Value of n = {} and k = {}"``.``format``(n, k)) ` `  `  `# Use sympy.fibonacci() method  ` `nth_fibonacci_poly ``=` `fibonacci(n, k)   ` `     `  `print``(``"The nth fibonacci polynomial : {}"``.``format``(nth_fibonacci_poly))   ` chevron_right filter_none Output:```Value of n = 5 and k = x The nth fibonacci polynomial : x**4 + 3*x**2 + 1 ```Example #3: filter_none edit close play_arrow link brightness_4 code `# import sympy  ` `from` `sympy ``import` `*`  ` `  `n ``=` `6` `k ``=` `3` `print``(``"Value of n = {} and k = {}"``.``format``(n, k)) ` `  `  `# Use sympy.fibonacci() method  ` `nth_fibonacci_poly ``=` `fibonacci(n, k)   ` `     `  `print``(``"The nth fibonacci polynomial value : {}"``.``format``(nth_fibonacci_poly))   ` chevron_right filter_none Output:```Value of n = 6 and k = 3 The nth fibonacci polynomial value : 360 ```Attention geek! Strengthen your foundations with the Python Programming Foundation Course and learn the basics.To begin with, your interview preparations Enhance your Data Structures concepts with the Python DS Course. My Personal Notes arrow_drop_up

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