On the binomial sums of Horadam sequence
Nazmiye Yilmaz, Necati Taskara
TL;DR
This paper explores new properties of Horadam numbers using binomial sums, providing direct computation methods and revealing connections with generalized Lucas numbers to enhance understanding.
Contribution
It introduces novel properties of Horadam numbers via binomial sums and links them to generalized Lucas numbers, offering new insights and computational approaches.
Findings
New properties of Horadam numbers established
Connections between Horadam and generalized Lucas numbers revealed
Enhanced methods for calculating Horadam numbers derived
Abstract
The main purpose of this paper is to establish some new properties of Horadam numbers in terms of binomial sums. By that, we can obtain these special numbers in a new and direct way. Moreover, some connections between Horadam and generalized Lucas numbers are revealed to get a more strong result.
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Taxonomy
TopicsAdvanced Mathematical Theories and Applications