Generalized Euler-Seidel Method for Second Order Recurrence Relations

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2014

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Abstract

We obtain identities for the generalized second order recurrence relation by using the generalized Euler-Seidel matrix with parameters x, y. As a consequence, we give some properties and generating functions of well-known special integer sequences.

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Generalized Euler-Seidel matrix, Fibonacci sequence, Lucas sequence, Pell sequence, Jacobsthal sequence, Generating function

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