Narayana numbers which are concatenations of two base \(b\) repdigits

zbMATH Open1542.11043MaRDI QIDQ6542780

K. Bhoi, Prasanta Kumar Ray

Publication date: 23 May 2024

Published in: Integers (Search for Journal in Brave)

zbMATH Keywords

Diophantine equationsNarayana's cows sequencerepdigits

Mathematics Subject Classification ID

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

Cites Work

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• Lucas numbers as sums of two repdigits
• Lucas numbers which are concatenations of two repdigits
• Lucas numbers which are concatenations of three repdigits
• Padovan numbers that are concatenations of two distinct repdigits
• Perrin numbers that are concatenations of two repdigits
• Fibonacci and Lucas numbers as difference of two repdigits
• Balancing numbers which are concatenation of two repdigits
• Linear combinations of factorials and \(S\)-units in a binary recurrence sequence
• Pell and Pell-Lucas numbers as sums of two repdigits
• 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 logarithms of algebraic numbers. II
• Fibonacci numbers which are concatenations of two repdigits
• Repdigits in Narayana's Cows Sequence and their Consequences
• k-generalized Fibonacci numbers which are concatenations of two repdigits

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