Tribonacci numbers that are concatenations of two repdigits

DOI10.1007/s13398-020-00933-0zbMath1471.11063OpenAlexW3086303938WikidataQ100762807 ScholiaQ100762807MaRDI QIDQ2204992

Mahadi Ddamulira

Publication date: 16 October 2020

Published in: Revista de la Real Academia de Ciencias Exactas, Físicas y Naturales. Serie A: Matemáticas. RACSAM (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s13398-020-00933-0

zbMATH Keywords

reduction methodlinear form in logarithmsrepdigitTribonacci number

Mathematics Subject Classification ID

Counting solutions of Diophantine equations (11D45) Exponential Diophantine equations (11D61) Fibonacci and Lucas numbers and polynomials and generalizations (11B39) Linear forms in logarithms; Baker's method (11J86)

Related Items (13)

On the solutions of the Diophantine equation \(F_n \pm \frac{a (10^m - 1)}{9} = k!\) ⋮ On Fibonacci numbers as sum of powers of two consecutive tribonacci numbers ⋮ On concatenations of two Padovan and Perrin numbers ⋮ On b -repdigits as product of consecutive of Lucas members ⋮ Balancing numbers which are products of three repdigits in base \(b\) ⋮ Balancing and Lucas-balancing numbers which are concatenation of three repdigits ⋮ Fibonacci and Lucas numbers as products of three repdigits in base \(g\) ⋮ Unnamed Item ⋮ Repdigits base \(b\) as products of two Pell numbers or Pell-Lucas numbers ⋮ Lucas numbers which are concatenations of two repdigits ⋮ Padovan numbers which are palindromic concatenations of two distinct repdigits ⋮ Lucas numbers which are concatenations of three repdigits ⋮ On concatenations of Fibonacci and Lucas numbers

Uses Software

• OEIS

Cites Work

• Unnamed Item
• Balancing numbers which are concatenation of two repdigits
• Linear combinations of factorials and \(S\)-units in a binary recurrence sequence
• Generating functions of binary products of \(k\)-Fibonacci and orthogonal polynomials
• Classical and modular approaches to exponential Diophantine equations. I: Fibonacci and Lucas perfect powers
• An explicit lower bound for a homogeneous rational linear form in the logarithms of algebraic numbers. II
• On a conjecture about repdigits in k-generalized Fibonacci sequences
• Fibonacci numbers which are concatenations of two repdigits

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