On the $x-$coordinates of Pell equations which are sums of two Padovan numbers

zbMath1465.11057arXiv1905.11322MaRDI QIDQ5148755

Mahadi Ddamulira

Publication date: 5 February 2021

Full work available at URL: https://arxiv.org/abs/1905.11322

zbMATH Keywords

Padovan numbersPell equation.

Mathematics Subject Classification ID

Higher degree equations; Fermat's equation (11D41) Fibonacci and Lucas numbers and polynomials and generalizations (11B39)

Related Items (4)

Terms of recurrence sequences in the solution sets of generalized Pell equations ⋮ Lucas numbers which are concatenations of two repdigits ⋮ Lucas numbers which are concatenations of three repdigits ⋮ Fibonacci or Lucas numbers which are products of two repdigits in base \(b\)

Cites Work

• Unnamed Item
• Unnamed Item
• $X$-coordinates of Pell equations as sums of two tribonacci numbers
• \(X\)-coordinates of Pell equations which are Lucas numbers
• On the \(x\)-coordinates of Pell equations that are sums of two Padovan numbers
• The \(x\)-coordinates of Pell equations and sums of two Fibonacci numbers. II.
• Linear combinations of factorials and \(S\)-units in a binary recurrence sequence
• Correction to: \(X\)-coordinates of Pell equations as sums of two tribonacci numbers
• On the \(x\)-coordinates of Pell equations which are products of two Fibonacci numbers
• On the \(x\)-coordinates of Pell equations which are \(k\)-generalized Fibonacci numbers
• \(x\)-Coordinates of Pell equations which are Tribonacci numbers. II
• 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 $X$-coordinates of Pell equations which are repdigits
• On the $x$-coordinates of Pell equations which are rep-digits
• On the $x$-coordinates of Pell equations which are Fibonacci numbers
• On the $x$--coordinates of Pell equations which are products of two: Lucas numbers, Pell numbers
• On the $X$-coordinates of Pell equations which are Tribonacci numbers
• On the $x$-coordinates of Pell equations which are Fibonacci numbers II
• Number Theory

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