Akbıyık, Seda YamaçAkbıyık, Mücahit2024-03-132024-03-1320212148-1830https://doi.org/10.47000/tjmcs.835237https://search.trdizin.gov.tr/yayin/detay/493804https://hdl.handle.net/20.500.12662/2427This paper aims to present a method for constructing the second order Pell and Pell-Lucas numbers and the third order Pell and Pell-Lucas numbers.Moreover, we obtain the De Moivre-type identities for these numbers. In addition, we define a Pell sequence with new initial conditions and give some identities for these third order Pell numbers such as Binet's formulas, generating functions, sums.eninfo:eu-repo/semantics/openAccessArticle10.47000/tjmcs.8352372-s2.0-85117498161671N/A6349380413