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On subbalancing numbers involving the third balancing number in the Diophantine equation

Karadeniz-Gözeri, G.; Sarı, S.


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{
  "DOI": "10.2298/FIL2430709K", 
  "abstract": "<p>In this paper, we consider subbalancing numbers formed by using the third balancing number in the Diophantine equation. We obtain some algebraic identities on these numbers which are also known as $B_3$-subbalancing numbers. We provide a variety of sum formulas and some divisibility properties associated with these numbers. We also give several Pythagorean triples obtained by using $B_3$-subbalancing numbers. Furthermore, we derive some functions that takes $B_3$-subbalancing and balancing numbers values for $B_3$-subbalancing number arguments.</p>", 
  "author": [
    {
      "family": "Karadeniz-G\u00f6zeri", 
      "given": " G."
    }, 
    {
      "family": "Sar\u0131", 
      "given": " S."
    }
  ], 
  "container_title": "FILOMAT", 
  "id": "285954", 
  "issue": "30", 
  "issued": {
    "date-parts": [
      [
        2024, 
        12, 
        31
      ]
    ]
  }, 
  "page": "10709-10722", 
  "title": "On subbalancing numbers involving the third balancing number in the Diophantine equation", 
  "type": "article-journal", 
  "volume": "38"
}
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