Generalized Compositions of Natural Numbers

Details Generalized Compositions of Natural Numbers Generalized Compositions of Natural Numbers

2010-12-16

arxiv.org/abs/1012.3654v1

Mathematics

Combinatorics

Scientific paper

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.

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