Fermat Polynomial
FermatPolynomial
The W-polynomials obtained by setting p(x)=3x and q(x)=-2 in the Lucas polynomial sequence. The first few Fermat polynomials are
F_1(x) = 1
(1)
F_2(x) = 3x
(2)
F_3(x) = 9x^2-2
(3)
F_4(x) = 27x^3-12x
(4)
F_5(x) = 81x^4-54x^2+4,
(5)
The Fermat polynomials satisfy
| F_n(1)=F_n |
(6)
|
where F_n are called Fermat numbers.
See also
Fermat-Lucas Polynomial, Lucas Polynomial SequenceExplore with Wolfram|Alpha
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Cite this as:
Weisstein, Eric W. "Fermat Polynomial." From MathWorld--A Wolfram Resource. https://mathworld.wolfram.com/FermatPolynomial.html