Add to ORKGWe briefly discuss a congruence relation of the subsequence of the Fibonacci m-step numbers. Then we use the obtained result to establish many identities regarding the Tribonacci numbers mod q with indices in arithmetic progression and connect them with the existing results. Finally, we discuss arbitrary linear recurrence sequences
The Fibonacci numbers are sequences of numbers of the form: 0,1,1,2,3,5,8,13,... Among n...
for n ≥ 2 is purely periodic modulo m with 2 ≤ m ∈ N. Take any shortest full period and form a frequ...
The Fibonacci numbers are defined by the recurrence f(n)= f(n-1)+f(n-2). The sequence f(n)mod m is p...
centuries, as it seems there is no end to its many surprising properties. Of particular interest to ...
summary:Our research was inspired by the relations between the primitive periods of sequences obtain...
summary:Our research was inspired by the relations between the primitive periods of sequences obtain...
In this paper, we find patterns and count the number of distinct generalised Fibonacci sequences und...
AbstractWe show that essentially the Fibonacci sequence is the unique binary recurrence which contai...
Abstract. We examine integer sequences G satisfying the Fibonacci recurrence relation Gn = Gn−1 + Gn...
We reduce the Fibonacci sequence mod m for a natural number m, and denote it by F (mod m ). We are g...
In this paper we study the Fibonacci numbers and derive some interesting properties and recurrence r...
The purposes of this paper are; (a) to develop a relationship between subscripts of the symbols of F...
We consider the period of a Fibonacci sequence modulo a prime and provide an accessible, motivated t...
The purposes of this paper are; (a) to develop a relationship between subscripts of the symbols of F...
The Fibonacci numbers are sequences of numbers of the form: 0,1,1,2,3,5,8,13,... Among n...
The Fibonacci numbers are sequences of numbers of the form: 0,1,1,2,3,5,8,13,... Among n...
for n ≥ 2 is purely periodic modulo m with 2 ≤ m ∈ N. Take any shortest full period and form a frequ...
The Fibonacci numbers are defined by the recurrence f(n)= f(n-1)+f(n-2). The sequence f(n)mod m is p...
centuries, as it seems there is no end to its many surprising properties. Of particular interest to ...
summary:Our research was inspired by the relations between the primitive periods of sequences obtain...
summary:Our research was inspired by the relations between the primitive periods of sequences obtain...
In this paper, we find patterns and count the number of distinct generalised Fibonacci sequences und...
AbstractWe show that essentially the Fibonacci sequence is the unique binary recurrence which contai...
Abstract. We examine integer sequences G satisfying the Fibonacci recurrence relation Gn = Gn−1 + Gn...
We reduce the Fibonacci sequence mod m for a natural number m, and denote it by F (mod m ). We are g...
In this paper we study the Fibonacci numbers and derive some interesting properties and recurrence r...
The purposes of this paper are; (a) to develop a relationship between subscripts of the symbols of F...
We consider the period of a Fibonacci sequence modulo a prime and provide an accessible, motivated t...
The purposes of this paper are; (a) to develop a relationship between subscripts of the symbols of F...
The Fibonacci numbers are sequences of numbers of the form: 0,1,1,2,3,5,8,13,... Among n...
The Fibonacci numbers are sequences of numbers of the form: 0,1,1,2,3,5,8,13,... Among n...
for n ≥ 2 is purely periodic modulo m with 2 ≤ m ∈ N. Take any shortest full period and form a frequ...
The Fibonacci numbers are defined by the recurrence f(n)= f(n-1)+f(n-2). The sequence f(n)mod m is p...