O nieskończonych ciągach liczb parami względnie pierwszych raz jeszcze

Jan Górowski; Adam Łomnicki

Annales Universitatis Paedagogicae Cracoviensis | Studia ad Didacticam Mathematicae Pertinentia (2012)

  • Volume: 4, page 93-100
  • ISSN: 2080-9751

Abstract

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In the paper the authors, using general formulas, determine and describe a class of infinite sequences of natural numbers, pairs of which are relatively prime. This result was obtained using the theory of Lucas sequences and recurrent equations of the second degree.

How to cite

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Jan Górowski, and Adam Łomnicki. "O nieskończonych ciągach liczb parami względnie pierwszych raz jeszcze." Annales Universitatis Paedagogicae Cracoviensis | Studia ad Didacticam Mathematicae Pertinentia 4 (2012): 93-100. <http://eudml.org/doc/296352>.

@article{JanGórowski2012,
abstract = {In the paper the authors, using general formulas, determine and describe a class of infinite sequences of natural numbers, pairs of which are relatively prime. This result was obtained using the theory of Lucas sequences and recurrent equations of the second degree.},
author = {Jan Górowski, Adam Łomnicki},
journal = {Annales Universitatis Paedagogicae Cracoviensis | Studia ad Didacticam Mathematicae Pertinentia},
keywords = {infinite sequences of natural numbers pairs of which are relatively prime; general formulas},
language = {pol},
pages = {93-100},
title = {O nieskończonych ciągach liczb parami względnie pierwszych raz jeszcze},
url = {http://eudml.org/doc/296352},
volume = {4},
year = {2012},
}

TY - JOUR
AU - Jan Górowski
AU - Adam Łomnicki
TI - O nieskończonych ciągach liczb parami względnie pierwszych raz jeszcze
JO - Annales Universitatis Paedagogicae Cracoviensis | Studia ad Didacticam Mathematicae Pertinentia
PY - 2012
VL - 4
SP - 93
EP - 100
AB - In the paper the authors, using general formulas, determine and describe a class of infinite sequences of natural numbers, pairs of which are relatively prime. This result was obtained using the theory of Lucas sequences and recurrent equations of the second degree.
LA - pol
KW - infinite sequences of natural numbers pairs of which are relatively prime; general formulas
UR - http://eudml.org/doc/296352
ER -

References

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  1. Edwards, A. W. F.: 1964, Infinite coprime sequences, Math. Gazette 48, 416-422. 
  2.  
  3. Górowski, J., Łomnicki, A.: 2009, O nieskończonych ciągach liczb naturalnych, parami względnie pierwszych, Annales Academiae Paedagogicae Cracoviensis. Studia ad Didacticam Mathematicae Pertinentia II, 51-69. 
  4.  
  5. Koshy, T.: 2001, Fibonacci and Lucas numbers with applications, John Wiley & Sons. Inc. 
  6.  
  7. Ribenboim, P.: 1997, Mała księga wielkich liczb pierwszych, Wydaw. Naukowo-Techniczne, Warszawa. 

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