2025/10/15 by Petro Kolosov
Mathematics · #Analytic Number Theory Research #Mathematical Dynamics and Fractals #Mathematics and Applications
paper · doi:10.1017/mag.2025.10129
openalex created_date 2025/10/15 · openalex publication_date 2025/10/15 · crossref created 2025/10/15 · crossref issued 2025/11/01 · crossref published 2025/11/01 · crossref published-print 2025/11/01 · crossref published-online 2025/12/09 · openalex updated_date 2026/03/07 · crossref deposited 2026/07/27 · crossref indexed 2026/07/27
A Rascal triangle is a Pascal-type numeric triangle developed in 2010 by three middle-school students, Alif Anggoro, Eddy Liu and Angus Tulloch [1]. During their mathematics classes they were challenged to provide the next row for the following sequence:The expected answer was the one that matches Pascal’s triangle, i.e. 1 4 6 4 1, obtained by applying the recurrence rule of binomial coefficients South = East + West. Instead, the young students suggested that the next row should be 1 4 5 4 1. In contrast to Pascal’s triangle rule South = East + West, they produced the new row using the relation they called the diamond formulaBy applying the diamond formula (1), the students produced an original triangular sequence known as the Rascal triangle, see Table 1.