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On the Incomplete Edouard and Incomplete Edouard–Lucas Numbers
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This study introduces two new sequences: the incomplete Edouard and the incomplete Edouard–Lucas numbers. In addition, we establish some of the properties, identities, and recurrence relations of these sequences. The relations of these new sequences with balancing, Lucas-balancing, incomplete balancing, and incomplete Lucas-balancing numbers are explored, and some new identities are provided. Moreover, the functions for generating the incomplete Edouard and incomplete Edouard–Lucas numbers are stated.
Title: On the Incomplete Edouard and Incomplete Edouard–Lucas Numbers
Description:
This study introduces two new sequences: the incomplete Edouard and the incomplete Edouard–Lucas numbers.
In addition, we establish some of the properties, identities, and recurrence relations of these sequences.
The relations of these new sequences with balancing, Lucas-balancing, incomplete balancing, and incomplete Lucas-balancing numbers are explored, and some new identities are provided.
Moreover, the functions for generating the incomplete Edouard and incomplete Edouard–Lucas numbers are stated.
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