Ivan Hadinata

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math.NT2025

Existence and Uniqueness Property On a Generalized Ledin-Brousseau Sum

Ivan Hadinata

In this paper, we present the existence and uniqueness property on a finite sum involving a polynomial and a homogeneous linear recurrence sequence. This finite sum is of the form…

math.NT2025

On Sum of a Polynomial Multiplied by Generalized Fibonacci Numbers

Ivan Hadinata

Given that $a, b \in N$ , $c_{0}, c_{1} \in Z$ , $(c_{0}, c_{1}) \neq = (0, 0)$ , and a generalized Fibonacci sequence $(s_{n})_{n \geq 0}$ where $s_{0} = c_{0}$ , $s_{1} = c_{1}$ , and $s_{n+1}=as_{…