The Jacobsthal polynomials are the 
-polynomials obtained by setting 
and 
in the Lucas
polynomial sequence. The first few Jacobsthal-Lucas polynomials are
 |  |  |
(1)
|
 |  |  |
(2)
|
 |  |  |
(3)
|
 |  |  |
(4)
|
 |  |  |
(5)
|
When evaluated at 
, the polynomials give the Jacobsthal-Lucas numbers
 |
(6)
|
