Piotr Miska

activity

20172025

most citedOn continued fraction partial quotients of square roots of primes

3 citations · 5 across the 17 of their papers we have counts for

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Showing 2024 · math.NTShow all

2 papers · 2 filters

math.NT2024

Binary sequences meet the Fibonacci sequence

Piotr Miska, Bartosz Sobolewski, Maciej Ulas

We introduce a new family of meta-Fibonacci sequences $(f (n))_{n \in N}$ , governed by the recurrence relation $f (n) = a f (n - u_{n} - 1) + b f (n - u_{n} - 2),$ where $\mathbf{u}=(u_{n})…

math.NT2024

On practical sets and $A$ -practical numbers

Andrzej Kukla, Piotr Miska

Let $A$ be a set of positive integers. We define a positive integer $n$ as an $A$ -practical number if every positive integer from the set $\left\{1,\ldots ,\sum_{d\in A, d\mid n}d\…

Binary sequences meet the Fibonacci sequence

On practical sets and A-practical numbers

On practical sets and $A$ -practical numbers