2022/11/02 by Eric Chen, Chen, Eric, Adam Ge +19
Biochemistry, Genetics and Molecular Biology · Computer Science · #11B39 #11K31 #Algorithms and Data Compression #FOS: Mathematics #Fractal and DNA sequence analysis #Number Theory (math.NT) #semigroups and automata theory
paper · pdf · doi:10.48550/arxiv.2211.01410
openalex publication_date 2022/11/02 · openalex created_date 2022/11/09 · openalex updated_date 2026/07/28
In this paper, we generalize a lot of facts from John Conway and Alex Ryba's paper, The extra Fibonacci series and the Empire State Building, where we replace the Fibonacci sequence with the Tribonacci sequence. We study the Tribonacci array, which we also call the Trithoff array to emphasize the connection to the Wythoff array. We describe 13 new sequences.