Pell Polynomial

The Pell polynomials  are the -polynomials generated by the Lucas polynomial sequence using the generator , . This gives recursive equations for  from , , and

(1)

They are related to the Fibonacci polynomials by

(2)

The first few are

			(3)
			(4)
			(5)
			(6)
			(7)

(OEIS A115322).

REFERENCES:

Horadam, A. F. and Mahon, J. M. "Pell and Pell-Lucas Polynomials." Fib. Quart. 23, 7-20, 1985.

Mahon, J. M. M. A. (Honors) thesis, The University of New England. Armidale, Australia, 1984.

Sloane, N. J. A. Sequence A115322 in "The On-Line Encyclopedia of Integer Sequences."