Number triangles: a topic for school investigation. (English)

Billich, Martin (ed.), Mathematica IV. Proceedings of the Polish-Czech-Slovak mathematical conference, Catholic University Ružomberok, Spišská Kapitula, Slovakia, June 5‒8, 2012. Ružomberok: Verbum, Catholic University in Ružomberok Press (ISBN 978-80-8084-954-2/pbk). Scientific Issues, 91-98 (2012).

Summary: Solve the following problem: Consider a square grid on which a path can be tracen along horizontal and vertical lines. How many different routes are there from a given point $S$ to a point $F$? The solution of this problem can lead to the famous Pascal’s triangle. In this article, we want to show how to obtain other interesting number triangles.