Abstract
In this paper, we derive some new algebraic identities on b3-subbalancing numbers and obtain the functions that generate b3-subbalancing numbers. We also introduce b3-Lucas subbalancing numbers and derive some algebraic identities between b3-Lucas subbalancing numbers and b3-subbalancing numbers. Further, we give the Binet formulas for b3-subbalancing and b3-Lucas subbalancing numbers.
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