LucasL

LucasL[n]

gives the Lucas number .

LucasL[n,x]

gives the Lucas polynomial .

Details

  • Mathematical function, suitable for both symbolic and numerical manipulation.
  • The satisfy the recurrence relation with , .
  • For any complex value of n the are given by the general formula , where is the golden ratio.
  • The Lucas polynomial is the coefficient of in the expansion of .
  • The Lucas polynomials satisfy the recurrence relation .
  • LucasL can be evaluated to arbitrary numerical precision.
  • LucasL automatically threads over lists.

Examples

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Basic Examples  (1)

Compute Lucas numbers:

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Out[1]=

Scope  (30)

Generalizations & Extensions  (1)

Applications  (5)

Properties & Relations  (10)

Possible Issues  (2)

Neat Examples  (2)

Introduced in 2007
(6.0)
|
Updated in 2008
(7.0)