Exact divisibility by powers of the Pell and associated Pell numbers

DOI10.1007/s12044-021-00615-wzbMath1471.11076OpenAlexW3179225292MaRDI QIDQ2047426

G. K. Panda, Asim Patra

Publication date: 20 August 2021

Published in: Proceedings of the Indian Academy of Sciences. Mathematical Sciences (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s12044-021-00615-w

zbMATH Keywords

\(p\)-adic valuationPell numberassociated Pell numberexact divisibilityorder of appearance

Mathematics Subject Classification ID

Fibonacci and Lucas numbers and polynomials and generalizations (11B39)

Related Items (2)

Catalan transform of \(k\)-balancing sequences ⋮ Sums of finite products of Pell polynomials in terms of hypergeometric functions

Cites Work

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• My collaboration with Julia Robinson
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• A COMPLETE FORMULA FOR THE ORDER OF APPEARANCE OF THE POWERS OF LUCAS NUMBERS
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• The order of appearance of the sum and difference between two Fibonacci numbers
• The Order of Appearance of the Product of Five Consecutive Lucas Numbers
• Fibonacci and Lucas Numbers Associated with Brocard-Ramanujan Equation
• Pell and Pell–Lucas Numbers with Applications

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