Results 111 to 113 of about 1,005 (113)

Certain Matrices Associated with Balancing and Lucas-balancing Numbers

, 2012
\cdots Balancing numbers $n$ and balancers $r$ are originally defined as the solution of the Diophantine equation $1+2+\cdots+(n-1)=(n+1)+(n+2)+\cdots+(n+r)$.
P. Ray
semanticscholar   +1 more source

On some identities of k-Jacobsthal-Lucas numbers

, 2014
In this paper we present the sequence of the k-Jacobsthal-Lucas numbers that generalizes the Jacobsthal-Lucas sequence introduced by Horadam in 1988. For this new sequence we establish an explicit formula for the term of order n, the well-known Binet’s ...
H. Campos, P. Catarino, A. P. Aires, P. Vasco, A. Borges   +4 more
semanticscholar   +1 more source

k-Jacobsthal and k-Jacobsthal Lucas Matrix Sequences

, 2016
In this study, we consider sequences named k-Jacobsthal, k-Jacobsthal Lucas sequences. After that, by using these sequences, we dene kJacobsthal and k-Jacobsthal-Lucas matrix sequence at the same time.
S. Uygun, H. Eldogan
semanticscholar   +1 more source