| 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.