Abstract

It is aimed to describe generalized Bigollo sequences and to examine Bigollo and Bigollo-Lucas sequences in this article. For this purpose, we give Binet’s formulas, Simson formulas, generating functions and we introduce a lot of main features of these sequences. Also, we get some formulas and give special matrices for these generalized sequences. Finally, we have determined some close relationships between Bigollo and Bigollo-Lucas numbers and Mersenne, Mersenne-Lucas numbers.

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