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A Study on Generalized Blaise Numbers

  • Yüksel Soykan

Asian Journal of Advanced Research and Reports, Page 32-53
DOI: 10.9734/ajarr/2023/v17i1463
Published: 21 January 2023

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Abstract


In this paper, we introduce and investigate the generalized Blaise sequences and we deal with, in detail, two special cases, namely, Blaise and Blaise-Lucas sequences. We present Binet’s formulas, generating functions, Simson formulas, and the summation formulas for these sequences. Furthermore, we show that there are close relations between Blaise, Blaise-Lucas and Jacobsthal-Padovan, Jacobsthal-Perrin, adjusted Jacobsthal-Padovan, modified Jacobsthal-Padovan numbers. Moreover, we give some identities and matrices related with these sequences.


Keywords:
  • Blaise numbers
  • Blaise-Lucas numbers
  • Jacobsthal-Padovan numbers
  • Jacobsthal-Perrin numbers
  • adjusted Jacobsthal-Padovan numbers
  • modified Jacobsthal-Padovan numbers
  • Full Article - PDF
  • Review History

How to Cite

Soykan, Y. (2023). A Study on Generalized Blaise Numbers. Asian Journal of Advanced Research and Reports, 17(1), 32-53. https://doi.org/10.9734/ajarr/2023/v17i1463
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