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 ℱ_2(x) | = | 3x ℱ_3(x) | = | 9x^2 - 2 ℱ_4(x) | = | 27x^3 - 12x ℱ_5(x) | = | 81x^4 - 54x^2 + 4, The Fermat polynomials satisfy ℱ_n(1) = ℱ_n where ℱ_n are called Fermat numbers.

Fermat-Lucas polynomial | Lucas polynomial sequence