SOME ALGEBRAIC RELATIONS ON INTEGER SEQUENCES INVOLVING OBLONG AND BALANCING NUMBERS

Tekcan, AhmetÖzkoç, ArzuEraşık, Meltem E.2020-04-302020-04-3020160381-7032https://hdl.handle.net/20.500.12684/4583WOS: 000380622200002Let k >= 0 be an integer. Oblong (pronic) numbers are numbers of the form O-k = k(k+1). In this work, we set a new integer sequence B = B-n(k) defined as B-0 = 0, B-1 = 1 and B-n = O-k Bn-1 - Bn-2 for n >= 2 and then derived some algebraic relations on it. Later, we give some new results on balancing numbers via oblong numbers.eninfo:eu-repo/semantics/closedAccessFibonacci numbersLucas numbersPell numbersoblong numbersbalancing numbersbinary linear recurrencescirculant matrixspectral normsimple continued fraction expansioncross-ratioSOME ALGEBRAIC RELATIONS ON INTEGER SEQUENCES INVOLVING OBLONG AND BALANCING NUMBERSArticle1281131WOS:000380622200002Q4Q4