Some properties of convolved \(k\)-Fibonacci numbers
Summary: We define the convolved \(k\)-Fibonacci numbers as an extension of the classical convolved Fibonacci numbers. Then we give some combinatorial formulas involving the \(k\)-Fibonacci and \(k\)-Lucas numbers. Moreover we obtain the convolved \(k\)-Fibonacci numbers from a family of Hessenberg matrices.
scientific article; zbMATH DE number 6202999
scientific article