Research findings from the study were posted in Mathematical Circles during that particular year.
The Paderborn Math Circle, an exciting online event aimed at students with intermediate mathematics knowledge, is set to take place on Wednesday, 21st January 2026. The workshop, which starts at 10:00 AM, focuses on exploring the fascinating world of Catalan Numbers, a sequence of numbers that appear in various problem settings.
The event is organised by the University of Paderborn and will be held via video conference, using the campus license of Uni Paderborn. Access to the online workshop is free, and participants can join the video conference as early as 9:45 AM. The access data will be sent by email before the event on Wednesday.
The topic for the given date is Catalan Numbers, a sequence of numbers that appear in various problem settings, such as decision trees, certain minimal grid paths in a rectangular street network, or a problem with forward and backward steps.
During the workshop, five problem settings where Catalan numbers appear will be explored. These include:
- Counting the number of expressions containing n pairs of correctly matched parentheses.
- Counting the number of possible Binary Search Trees (BSTs) with n keys.
- Counting the number of full binary trees with n+1 leaves.
- Counting the number of ways to draw n chords in a circle with 2n points such that no two chords intersect.
- Counting the number of generalized combinatorial structures, such as action graphs or related graph structures, that are enumerated by Catalan numbers.
These are classic combinatorial interpretations of the Catalan numbers commonly studied in mathematics workshops and are specifically listed among principal examples where Catalan numbers appear.
Registrations for the Paderborn Math Circle are ideally done by 20.01.2026, 11:00 AM, via email with the registration form from the Paderborn Math Circle Website.
For more information, please visit the University of Paderborn's website. We look forward to seeing you at the Paderborn Math Circle workshop!
Attendees of the Paderborn Math Circle workshop, held online on January 21, 2026, can expect to engage in education-and-self-development through exploration of the Catalan Numbers, a key sequence in mathematics. This online-education opportunity includes learning about various problem settings where these numbers appear, such as Binary Search Trees and decision trees.
