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    Fermat-Lucas Polynomial

    Definition

    The w-polynomials obtained by setting p(x) = 3x and q(x) = - 2 in the Lucas polynomial sequence. Setting f_n(1) = f_n give a Fermat-Lucas number. The first few Fermat-Lucas polynomials are f_1(x) | = | 3x f_2(x) | = | 9x^2 - 4 f_3(x) | = | 27x^3 - 18x f_4(x) | = | 81x^4 - 72x^2 + 8 f_5(x) | = | 243x^5 - 270x^3 + 60x.

    Associated people

    Édouard Lucas | Pierre de Fermat

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