Open AccessNew Approach of Polyominoes Using James Diagram with Beta Number
Author(s) -
E. F. Mohoomed
Publication year - 2021
Publication title -
journal of physics. conference series
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.21
H-Index - 85
eISSN - 1742-6596
pISSN - 1742-6588
DOI - 10.1088/1742-6596/1818/1/012151
Subject(s) - abacus (architecture) , polyomino , fibonacci number , combinatorics , diagram , mathematics , integer (computer science) , discrete mathematics , tree diagram , computer science , geometry , regular polygon , bayesian probability , statistics , archaeology , posterior probability , history , programming language
James abacus diagram used in number theory to describe integer partitions with the special numbers of columns e , e ≥ 2. One way of producing it is by using decreasing sequence of integer number called beta number. In this work, we proved the graphical representation of the beta number of any partition to polyomino by using James abacus diagram and e -core of James abacus. New identities of Fibonacci to count the number of ways for 2 ×1 dominoes to tiling a James abacus diagram chain by using monomino and domino.