Milan Janjic
Published 2010-12-16Version 1
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.
On Number of Compositions of Natural Numbers
Generalized compositions with a fixed number of parts
Generalized Compositions and Weighted Fibonacci Numbers
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