Sadek Bouroubi

On the Square-Triangular Numbers and Balancing-Numbers

The paper is published: Rostocker Mathematisches Kolloquium, Rostock. Math. Kolloq. 72, 73 - 80 (2019/2020)
MSC: 11Y35   Analytic computations
11Y55   Calculation of integer sequences

Abstract:   In 1770, Euler looked for positive integers n and m such that n(n+1)/2 = m2. Integer solutions for this equation produce what he called square-triangular numbers. In this paper, we present a new explicit formula for this kind of numbers and establish a link with balancing numbers.

Keywords:   Triangular number, Square number, Square-triangular number, Balancing number
Seite generiert am 24.02.2021