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Fermat-Lucas Polynomial


Fermat-LucasPolynomial

The w-polynomials obtained by setting p(x)=3x and q(x)=-2 in the Lucas polynomial sequence. Setting

 f_n(1)=f_n
(1)

give a Fermat-Lucas number.

The first few Fermat-Lucas polynomials are

f_1(x)=3x
(2)
f_2(x)=9x^2-4
(3)
f_3(x)=27x^3-18x
(4)
f_4(x)=81x^4-72x^2+8
(5)
f_5(x)=243x^5-270x^3+60x.
(6)

See also

Fermat Polynomial, Lucas Polynomial Sequence

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Cite this as:

Weisstein, Eric W. "Fermat-Lucas Polynomial." From MathWorld--A Wolfram Web Resource. https://mathworld.wolfram.com/Fermat-LucasPolynomial.html

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