The 
-polynomials
obtained by setting 
and 
in the Lucas polynomial sequence. The
first few Fermat polynomials are
 |  |  |
(1)
|
 |  |  |
(2)
|
 |  |  |
(3)
|
 |  |  |
(4)
|
 |  |  |
(5)
|
The Fermat polynomials satisfy
 |
(6)
|
where 
are called Fermat numbers.
Fermat Polynomial
See also
Fermat-Lucas Polynomial, Lucas Polynomial SequenceExplore with Wolfram|Alpha
Cite this as:
Weisstein, Eric W. "Fermat Polynomial." From MathWorld--A Wolfram Resource. https://mathworld.wolfram.com/FermatPolynomial.html