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Fibonacci

FilledSmallSquare Fibonacci[n] gives the Fibonacci number .

FilledSmallSquare Fibonacci[n, x] gives the Fibonacci polynomial .

FilledSmallSquare Integer mathematical function (see Section A.3.10).

FilledSmallSquare The satisfy the recurrence relation with .

FilledSmallSquare For any complex value of the are given by the general formula , where is the golden ratio.

FilledSmallSquare The Fibonacci polynomial is the coefficient of in the expansion of .

FilledSmallSquare The Fibonacci polynomials satisfy the recurrence relation .

FilledSmallSquare FullSimplify and FunctionExpand include transformation rules for combinations of Fibonacci numbers with symbolic arguments when the arguments are specified to be integers using n Integers.

FilledSmallSquare See Section 3.2.5.

FilledSmallSquare Implementation Notes: see Section A.9.4.

FilledSmallSquare See also: GoldenRatio.

FilledSmallSquare New in Version 3.

Further Examples