Displaying similar documents to “Euler-Seidel method for certain combinatorial numbers and a new characterization of Fibonacci sequence”

Some finite generalizations of Euler's pentagonal number theorem

Ji-Cai Liu (2017)

Czechoslovak Mathematical Journal

Similarity:

Euler's pentagonal number theorem was a spectacular achievement at the time of its discovery, and is still considered to be a beautiful result in number theory and combinatorics. In this paper, we obtain three new finite generalizations of Euler's pentagonal number theorem.

Fibonacci Numbers with the Lehmer Property

Florian Luca (2007)

Bulletin of the Polish Academy of Sciences. Mathematics

Similarity:

We show that if m > 1 is a Fibonacci number such that ϕ(m) | m-1, where ϕ is the Euler function, then m is prime