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Science and Technology Indonesia
Published by Universitas Sriwijaya
ISSN : 25804405     EISSN : 25804391     DOI : -
Core Subject : Science, Social, Engineering,
Biochemistry, Genetics & Molecular Biology Chemical Engineering, Chemistry & Bioengineering Environmental Science Materials Science & Nanotechnology Physics
An international Peer-review journal in the field of science and technology published by The Indonesian Science and Technology Society. Science and Technology Indonesia is a member of Crossref with DOI prefix number: 10.26554/sti. Science and Technology Indonesia publishes quarterly (January, April, July, October). Science and Technology Indonesia is an international scholarly journal on the field of science and technology aimed to publish a high-quality scientific paper including original research papers, reviews, short communication, and technical notes. This journal welcomes the submission of articles that covers a typical subject of natural science and technology such as: > Chemistry > Biology > Physics > Marine Science > Pharmacy > Chemical Engineering > Environmental Science and Engineering > Computational Engineering > Biotechnology Journal Commencement: October 2016
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Articles 581 Documents
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The Relation of Tribinomial Coefficients with Triangular, Catalan and Mersenne Number Wamiliana; Putri, Desiana; Notiragayu
Science and Technology Indonesia Vol. 11 No. 2 (2026): April
Publisher : Research Center of Inorganic Materials and Coordination Complexes, FMIPA Universitas Sriwijaya

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.26554/sti.2026.11.2.750-757

Abstract

Numbers are inseparable from mathematics. Each of these types of numbers has its own distinct definition and properties. Numbers are not only used in mathematics, but are also essential in other fields such as philosophy, technology, and science. Tribinomial coefficients, Catalan numbers, and Mersenne numbers are three types of numbers that has their own uniqueness and beauty. Tribinomial coefficients derived from triangular number using similar definition for binomial coefficients. Triangular numbers constitute a class of figurative numbers derived from the systematic arrangement of discrete units (such as dots) into the geometric configuration of an equilateral triangle. The Catalan numbers constitute a sequence of positive integers that emerge in numerous combinatorial enumeration problems. Formally, the n-th Catalan number is defined by the closed-form expression: $C_n = \frac{1}{n+1} \binom{2n}{n}= \frac{(2n)!}{(n+1)!n!}, n \in N$. Mersenne numbers are the numbers known in mathematics that also have their own beauty and uniqueness. When represented using binary, all Mersenne numbers are repeating 1s. The first eight Mersenne numbers are 1, 3, 7, 15, 31, 63, 127, 255, which are represented in binary as 1, 11, 111, 1111, 11111, 111111, 1111111, 11111111. In this study the relationship of Tribinomial coefficients with Catalan and Marsenne numbers will be disccused.

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