
handle: 20.500.14114/9284
In this study, we define a new generalization of the Padovan numbers, which shall also be called the bi-periodic Padovan sequence. Also, we consider a generalized bi-periodic Padovan matrix sequence. Finally, we investigate the Binet formulas, generating functions, series and partial sum formulas for these sequences.
padovan sequence, biperiodic Padovan sequence, Binet-like formula, generating function, biperiodic padovan sequence, generating functions, binet-like formula, QA1-939, Fibonacci and Lucas numbers and polynomials and generalizations, Padovan sequence, Mathematics, matrix
padovan sequence, biperiodic Padovan sequence, Binet-like formula, generating function, biperiodic padovan sequence, generating functions, binet-like formula, QA1-939, Fibonacci and Lucas numbers and polynomials and generalizations, Padovan sequence, Mathematics, matrix
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