@article{Mantegazza2025, 
author = {Carlo Mantegazza and Nicola Pio Melillo},
title = {A note on the Lalescu sequence},
year = {2025},
journal = {AIMS Mathematics},
volume = {10},
number = {3},
pages = {7526-7539},
keywords = {Lalescu sequence, Stirling's formula, convergence, monotonicity},
url = {https://www.sciopen.com/article/10.3934/math.2025346},
doi = {10.3934/math.2025346},
abstract = {The sequence         a    n    =            (      n      +      1      )      !                    n      +      1        −            n      !              n  is called the Lalescu sequence, after the Romanian mathematician Traian Lalescu (1882–1929). We prove that this sequence is monotonically decreasing.}
}