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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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  <dc:creator>Karadeniz-Gözeri, G.</dc:creator>
  <dc:creator>Sarı, S.</dc:creator>
  <dc:date>2024-12-31</dc:date>
  <dc:description>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.</dc:description>
  <dc:identifier>https://aperta.ulakbim.gov.trrecord/285954</dc:identifier>
  <dc:identifier>oai:aperta.ulakbim.gov.tr:285954</dc:identifier>
  <dc:rights>info:eu-repo/semantics/openAccess</dc:rights>
  <dc:rights>http://www.opendefinition.org/licenses/cc-by</dc:rights>
  <dc:source>FILOMAT 38(30) 10709-10722</dc:source>
  <dc:title>On subbalancing numbers involving the third balancing number in the Diophantine equation</dc:title>
  <dc:type>info:eu-repo/semantics/article</dc:type>
  <dc:type>publication-article</dc:type>
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