On a sequence of rational numbers with unusual divisibility by a power of 2

A Dubickas - Miskolc Mathematical Notes, 2024 - real.mtak.hu
In this note we consider the sequence of rational numbers b_n=∑ _ {k= 1}^{n} 2^ k∕ k. We
show that the power of 2 in the expansion of bn is unusually large, at least n+ 1− log2 (n+ 1) …

[PDF][PDF] Weighted binomial sums using characters of the symmetric group

H Belbachira, IE Djellasa - Filomat, 2024 - pmf.ni.ac.rs
Irreducible characters plays a crucial role in the representation theory of finite groups,
namely the symmetric group Sn. In the current paper, we use the irreducible characters of Sn …

[引用][C] Combinatoire des Transversales de la Pyramide de Pascal

A Mehdaoui - 2021