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Periodicity of balancing numbers

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Publication:397031
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DOI10.1007/s10474-014-0427-zzbMath1324.11001OpenAlexW2049774947MaRDI QIDQ397031

G. K. Panda, Sudhansu Sekhar Rout

Publication date: 14 August 2014

Published in: Acta Mathematica Hungarica (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10474-014-0427-z


zbMATH Keywords

periodicityFibonacci numbermodular arithmeticbalancing numberPell number


Mathematics Subject Classification ID

Fibonacci and Lucas numbers and polynomials and generalizations (11B39) Sequences (mod (m)) (11B50) Multiplicative structure; Euclidean algorithm; greatest common divisors (11A05)


Related Items (4)

Unnamed Item ⋮ Balancing non-Wieferich primes in arithmetic progressions ⋮ Factoriangular numbers in balancing and Lucas-balancing sequence ⋮ Shift Balancing Numbers



Cites Work

  • Unnamed Item
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  • Generalized balancing numbers
  • Cobalancing numbers and cobalancers
  • A Full Characterisation of Divisibility Sequences
  • Fibonacci Series Modulo m
  • Divisibility Sequences of Third Order


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