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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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    "description": "<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>", 
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      "issue": "30", 
      "pages": "10709-10722", 
      "title": "FILOMAT", 
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    "title": "On subbalancing numbers involving the third balancing number in the Diophantine equation", 
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