Acikel, AbdullahAmrouche, SaidBelbachir, HaceneIrmak, Nurettin2024-09-182024-09-1820231300-00981303-6149https://doi.org/10.55730/1300-0098.3416https://search.trdizin.gov.tr/tr/yayin/detay/1180362https://hdl.handle.net/20.500.12483/10799In this paper, we investigate several identities of k -generalized Lucas numbers with k -generalized Fibonacci numbers. We also establish a link between generalized s -Lucas triangle and bi s nomial coefficients given by the coefficients of the development of a power of (1 + x + x2 + center dot center dot center dot + xs), with s is an element of N.eninfo:eu-repo/semantics/openAccessk- generalized Lucas sequencearithmetic trianglerecurrence relationbi s nomial coefficientArticle4741129114310.55730/1300-0098.34162-s2.0-85160301365Q21180362WOS:000996022900006Q2