Results 91 to 100 of about 1,083 (122)
Weighted Tribonacci sums [PDF]
We derive various weighted summation identities, including binomial and double binomial identities, for Tribonacci numbers. Our results contain some previously known results as special cases.
arxiv
Tribonacci numbers that are concatenations of two repdigits. [PDF]
Ddamulira M.
europepmc +1 more source
Squares of Tribonacci numbers [PDF]
We prove some identities for the squares of generalized Tribonacci numbers. Various summation identities involving these numbers are derived.
arxiv
Urn Models and Fibonacci Series [PDF]
We use probability urn models to discover some known and unknown series identities involving Fibonacci numbers.
arxiv
The complex pulsating (a1,a2,…,am,c)-Fibonacci sequence
Several researchers have looked at pulsating Fibonacci sequences in the last ten years, which are generalizations of the Fibonacci sequence. They verify the closed form of these sequences via mathematical induction. This approach is beautiful, but it can
Prathomjit Khachorncharoenkul+2 more
doaj
Repdigits as sums of three Padovan numbers. [PDF]
Ddamulira M.
europepmc +1 more source
Matrix Sequences of Tribonacci and Tribonacci-Lucas Numbers [PDF]
In this paper, we define Tribonacci and Tribonacci-Lucas matrix sequences and investigate their properties.
arxiv
Elliptic curve and k-Fibonacci-like sequence
In this paper, we will introduce a modified k-Fibonacci-like sequence defined on an elliptic curve and prove Binet’s formula for this sequence. Moreover, we give a new encryption scheme using this sequence.
Zakariae Cheddour+2 more
doaj
On a problem of Pillai with Fibonacci numbers and powers of 3. [PDF]
Ddamulira M.
europepmc +1 more source
Tribonacci and Tribonacci-Lucas Matrix Sequences with Negative Subscripts [PDF]
In this paper, we define Tribonacci and Tribonacci-Lucas matrix sequences with negative indices and investigate their properties.
arxiv