A note on the binomial Fibonacci sums

Gryszka, Karol

doi:10.22108/toc.2026.146194.2307

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	A note on the binomial Fibonacci sums
Transactions on Combinatorics
مقالات آماده انتشار، اصلاح شده برای چاپ، انتشار آنلاین از تاریخ 05 خرداد 1405 اصل مقاله (446.96 K)
نوع مقاله: Research Paper
شناسه دیجیتال (DOI): 10.22108/toc.2026.146194.2307
نویسنده
Karol Gryszka^*
Institute of Mathematics, University of the National Education Commission, Krakow, Podchora̧żych 2, 30-084, Kraków, Poland
چکیده
In this paper, we extend the recently obtained weighted binomial Fibonacci identities to arbitrary second-order recurrence sequences and to the Fibonacci $m$-step numbers. This work is inspired by a recently published problem and solution in the journal The Fibonacci Quarterly.
کلیدواژه‌ها
Fibonacci identity؛ Combinatorial identity؛ Fibonacci number؛ Binomial coefficient

مراجع
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A note on the binomial Fibonacci sums