A note on sum formulas \sum_{k=۰}^{n}kx^{k}W_{k} and \sum_{k=۱}^{n}kx^{k}W_{-k} of generalized Hexanacci numbers

سال انتشار: 1402
نوع سند: مقاله ژورنالی
زبان: انگلیسی
مشاهده: 72

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شناسه ملی سند علمی:

JR_KJMMRC-12-2_009

تاریخ نمایه سازی: 10 خرداد 1402

چکیده مقاله:

In this paper, closed forms of the sum formulas \sum_{k=۰}^{n}kx^{k}W_{k} and \sum_{k=۱}^{n} kx^{k}W_{- k} for generalized Hexanacci numbers are presented. As special cases, we give summation formulas of Hexanacci, Hexanacci-Lucas, and other sixth-order recurrence sequences.

نویسندگان

Yuksel Soykan

Department of Mathematics, Art and Science Faculty, Zonguldak Bulent Ecevit University, Zonguldak, Turkey

Erkan Taşdemir

Pinarhisar Vocational School, Kirklareli University, Kirklareli, Turkey

Tulin Erdoğan Taşdemir

Ministry of National Education, Pinarhisar Anatolian High School, Kirklareli, Turkey

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