Generalized Identities for third order Pell Number, Pell-Lucas Number and Modified Pell Number

Mongkol Tatong, Tawan Ampawa


In this paper, we first presented the  generalized Pell Number, Pell-Lucas Number and modified Pell Number, which are the recurrence relation by from the previous three terms. We have the Binet’s formula generating functions and generating functions of all three sequences. We establish some of the interesting properties involving of sequences those sequences.


Pell sequence Pell-Lucas sequence, Modified Pell sequence, Binet’s formula

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