Lucas Polynomial Sequence

A pair of generalized Polynomials which generalize the Lucas Sequence to Polynomials is given by

			(1)
			(2)

(3)

(4)

(5)

			(6)
			(7)

			(8)
			(9)

			(10)
			(11)

		Polynomial 1	Polynomial 2
	1	Fibonacci	Lucas
	1	Pell	Pell-Lucas
1		Jacobsthal	Jacobsthal
		Fermat	Fermat-Lucas
		Chebyshev Polynomial of the Second Kind	Chebyshev Polynomial of the First Kind

References

Horadam, A. F. ``Extension of a Synthesis for a Class of Polynomial Sequences.'' Fib. Quart. 34, 68-74, 1996.

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