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

open allclose all

Basic Examples  (1)

Compute Lucas numbers:

In[1]:=
Click for copyable input
Out[1]=

Scope  (7)

Generalizations & Extensions  (1)

Applications  (5)

Properties & Relations  (10)

Possible Issues  (2)

Neat Examples  (2)

See Also

Fibonacci  GoldenRatio  RSolve  LinearRecurrence  RecurrenceTable  DifferenceRoot

Tutorials

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