2010/12/16 by Milan Janjić, Milan Janjic, Janjic, Milan · 1 citation
Mathematics · Physics and Astronomy · #Advanced Combinatorial Mathematics #Advanced Mathematical Theories #Advanced Mathematical Theories and Applications #Combinatorics (math.CO) #FOS: Mathematics #math.CO
paper · pdf · doi:10.48550/arxiv.1012.3654
arxiv created 2010/12/16 · openalex publication_date 2010/12/16 · arxiv updated 2010/12/17 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
We consider compositions of natural numbers when there are different types of each natural number. Several recursions as well as some closed formulas for the number of compositions is derived. We also find its relationships with some known classes of integers such as Fibonacci, Catalan, Pell, Pell-Lucas, and Jacobsthal numbers.