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Special Cases of Generalized Leonardo Numbers: Modified p-Leonardo, p-Leonardo-Lucas and p-Leonardo Numbers
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In this paper, we define and investigate modified p-Leonardo, p-Leonardo-Lucas and p-Leonardo sequences as special cases of the generalized Leonardo sequence. 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. Furthermore, we show that there are close relations between modified p-Leonardo, p-Leonardo-Lucas, p-Leonardo numbers and Fibonacci, Lucas numbers.
Title: Special Cases of Generalized Leonardo Numbers: Modified p-Leonardo, p-Leonardo-Lucas and p-Leonardo Numbers
Description:
In this paper, we define and investigate modified p-Leonardo, p-Leonardo-Lucas and p-Leonardo sequences as special cases of the generalized Leonardo sequence.
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.
Furthermore, we show that there are close relations between modified p-Leonardo, p-Leonardo-Lucas, p-Leonardo numbers and Fibonacci, Lucas numbers.
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