Generalizing the Wythoff Array and other Fibonacci Facts to Tribonacci Numbers
Number Theory
2022-11-04 v1
Abstract
In this paper, we generalize a lot of facts from John Conway and Alex Ryba's paper, \textit{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 \textit{the Trithoff array} to emphasize the connection to the Wythoff array. We describe 13 new sequences.
Cite
@article{arxiv.2211.01410,
title = {Generalizing the Wythoff Array and other Fibonacci Facts to Tribonacci Numbers},
author = {Eric Chen and Adam Ge and Andrew Kalashnikov and Tanya Khovanova and Ella Kim and Evin Liang and Mira Lubashev and Matthew Qian and Rohith Raghavan and Benjamin Taycher and Samuel Wang},
journal= {arXiv preprint arXiv:2211.01410},
year = {2022}
}
Comments
28 pages, 5 tables