Recall that a repdigit in base g is a positive integer that has only one digit in its base g
expansion; ie, a number of the form a (gm-1)/(g-1), for some positive integers m≥ 1, g≥ 2 …

Abstract Let (F_n) _ n ≥ 0 (F n) n≥ 0 and (L_n) _ n ≥ 0 (L n) n≥ 0 be the Fibonacci and
Lucas sequences. In this paper we determine all Fibonacci and Lucas numbers which are …

Lucas numbers which are concatenations of three repdigits | Results in Mathematics Skip to main
content SpringerLink Account Menu Find a journal Publish with us Track your research Search …

In this paper, we determine all repdigits in base b for 2 ≤ b ≤ 10, 2≤ b≤ 10, which are
products of two Pell numbers or Pell–Lucas numbers. It is shown that the largest Pell …

Lucas numbers which are concatenations of two repdigits | Boletín de la Sociedad Matemática
Mexicana Skip to main content SpringerLink Account Menu Find a journal Publish with us …

Let (F n) n≥ 0 be the Fibonacci sequence given by F 0= 0, F 1= 1 and F n+ 2= F n+ 1+ F n,
for all n≥ 0. In this paper, we find all positive integer solutions (m, n, a, k) of the Diophantine …

Mathematics | Free Full-Text | Lucas Numbers Which Are Concatenations of Two Repdigits Next
Article in Journal Improved Performance of M-Class PMUs Based on a Magnitude Compensation …

Repdigit in base b is a positive integer that has only one digit in its base b expansion, ie a
number of the form a (bm-1)/(b-1), for some positive integers m≥ 1, b≥ 2 and 1≤ a≤ b-1. In …

Let $(F_n) _ {n\geq 0} $ and $(L_n) _ {n\geq 0} $ be the Fibonacci and Lucas sequences,
respectively. In this paper we determine all Fibonacci numbers which are mixed …

For any integer k≥ 2, the sequence of the k-generalized Fibonacci numbers (or k-bonacci
numbers) is defined by the k initial values F−(k− 2)(k)=⋯= F 0 (k)= 0 and F 1 (k)= 1 and such …