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Hosoya triangle and sequences from Hosoya triangle

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2023
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Abstract (EN)

Oyr thesis consists of five chapters in total. In the first chapter, information about Fibonacci and Lucas numbers, which are effective in the formation of Hosoya numbers, is mentioned. In the second chapter, Hosoya numbers and Hosoya triangle are introduced and important results about many identities, theorems, proofs and equations of these triangles and numbers are given. In addition, the relations between Hosoya numbers, Lucas and Fibonacci numbers are revealed.. In the third chapter, definitions and theorems related to rhombuses obtained from Hosoya triangle are given. In the fourth chapter, the sequence is obtained from the Hosoya triangle. Studies have been carried out on the generator function of this obtained sequence. In the fifth chapter, the results obtained from the thesis are given and briefly summarized.

Author

Sinan Elveren

How to Cite

Sinan Elveren (Master Thesis). Hosoya triangle and sequences from Hosoya triangle, 2023, Balıkesir University.

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