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On Generalized Padovan Numbers
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In this paper, we investigate the generalized Padovan sequences and we deal with, in detail, four special cases, namely, Padovan, Perrin, Padovan-Perrin and modified Padovan sequences. We present Binet's formulas, generating functions, Simson formulas, and the summation formulas for these sequences. Moreover, we give some identities and matrices related with these sequences.
Title: On Generalized Padovan Numbers
Description:
In this paper, we investigate the generalized Padovan sequences and we deal with, in detail, four special cases, namely, Padovan, Perrin, Padovan-Perrin and modified Padovan sequences.
We present Binet's formulas, generating functions, Simson formulas, and the summation formulas for these sequences.
Moreover, we give some identities and matrices related with these sequences.
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