Integra: Journal of Integrated Mathematics and Computer Science
Vol. 1 No. 1 (2024): March

The Relation of Noncrossing Partitioning of Odd and Even Numbers with Catalan Numbers

Amansyah, Wahyu Dwi (Unknown)
Wamiliana (Unknown)
Hamzah, Nur (Unknown)



Article Info

Publish Date
19 Mar 2024

Abstract

Catalan numbers, denoted by Cn, are generally defined by the equation Cn = 1/(n+1) (2nn) with n ≥ 0 and n ∈ ℤ. Catalan numbers have forms that can be determined through generaland recursive forms. Catalan numbers have several applications to various combinatorialproblems, such as in recursive analysis and the application of combinatorial theory topartitions that can form Catalan numbers. The odd numbers are defined as integers that arenot divisible by two, expressed in the form {2k + 1; k ∈ ℤ} . Meanwhile, even numbers aredefined as integers that are divisible by two, expressed in the form {2k; k ∈ ℤ} . In this studywe discuss the noncrossing partitions of positive odd numbers and positive even numbers.The results show those the noncrossing partitions have relationship with Catalan numbers.

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Journal Info

Abbrev

integra

Publisher

Subject

Computer Science & IT Mathematics

Description

Integra : Journal of Integrated Mathematics and Computer Science is the international journal in the field of Mathematics and Computer Science. Integra : Journal of Integrated Mathematics and Computer Science publish original research work both in a full article or in a short communication form, ...