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Fibonacci

  • Fibonacci[ n ] gives the Fibonacci number .
  • Fibonacci[ n , x ] gives the Fibonacci polynomial .
  • Integer mathematical function (see Section A.3.10).
  • The satisfy the recurrence relation with .
  • For any complex value of the are given by the general formula , where is the golden ratio.
  • The Fibonacci polynomial is the coefficient of in the expansion of .
  • See the Mathematica book: Section 3.2.5.
  • See also Implementation NotesA.9.44.9MainBookLinkOldButtonDataA.9.44.9.
  • See also: GoldenRatio.

    Further Examples

    Here is a list of the first 20 Fibonacci numbers.

    In[1]:=

    Out[1]=