We study the phenomenon of Hilbert space fragmentation in isolated Hamiltonian and
Floquet quantum systems using the language of commutant algebras, the algebra of all …

In this paper, we first give new generalizations for (s, t)-Pell [Formula: see text] and (s, t)-Pell
Lucas [Formula: see text] sequences for Pell and Pell–Lucas numbers. Considering these …

The tradition of studies involving the combinatorial approach to recurring numerical
sequences has accumulated a few decades of tradition, and several problems continue to …

Falcón Santana and Díaz-Barrero [Missouri Journal of Mathematical Sciences, 18.1, pp. 33-
40, 2006] proved that the sum of the first $4 n+ 1$ Pell numbers is a perfect square for all …

In this study, we define the Gaussian (s, t)-Pell and Gaussian (s, t)-Pell-Lucas sequences.
Then, by using these sequences we define Gaussian (s, t)-Pell and Gaussian (s, t)-Pell …

The Fibonacci numbers and the Pell numbers can be interpreted as the number of tilings of
a (1× n)-board by colored squares and dominoes. We explore the tilings of (2× n)-boards by …

In this paper, we investigate a generalization of modified Pell sequence, which is called (s, t)-
modified Pell sequence. By considering this sequence, we define the matrix sequence …

We introduce a new four-parameter sequence that simultaneously generalizes some well-
known integer sequences, including Fibonacci, Padovan, Jacobsthal, Pell, and Lucas …

In this paper we present two families of Fibonacci-Lucas identities, with the Sury's identity
being the best known representative of one of the families. While these results can be …

Abstract Recently, Benjamin, Plott, and Sellers proved a variety of identities involving sums
of Pell numbers combinatorially by interpreting both sides of a given identity as enumerators …