Construction of a repetitive magic square with Ramanujan's number as its product

Prasantha Bharathi Dhandapani; Víctor Leiva; Carlos Martin-Barreiro

doi:10.1016/j.heliyon.2022.e12046

Construction of a repetitive magic square with Ramanujan's number as its product

Prasantha Bharathi Dhandapani, Víctor Leiva, Carlos Martin-Barreiro

SCHOOL OF INDUSTRIAL ENGINEERING

Research output: Contribution to journal › Article › peer-review

Abstract

In this article, we build a repetitive magic square by multiplying four elements. This square is a matrix with its corresponding elements. The elements of this matrix that take different values allow us to obtain Ramanujan's number 1729 as its multiplicative magic constant. The additive magic constant of the square is the number 40. The elements of these magic constants form an arithmetic progression. An algorithm to build magic squares is also proposed.

Original language	English
Article number	e12046
Journal	Heliyon
Volume	9
Issue number	1
DOIs	https://doi.org/10.1016/j.heliyon.2022.e12046
State	Published - Jan 2023

Keywords

Arithmetic progression
Diophantine equation
Latin square
Magic elements
Sequences
Square matrix

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10.1016/j.heliyon.2022.e12046

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KW - Sequences

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Construction of a repetitive magic square with Ramanujan's number as its product

Abstract

Keywords

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