Generalised Leonardo numbers
Carlos M. da Fonseca, Can Kizilates, Paulo Saraiva, Anthony G. Shannon
article (Uluslararası, Hakemli) | Yazar(lar): Carlos M. da Fonseca, Can Kizilates, Paulo Saraiva, Anthony G. Shannon | Yıl: 2025 | Dergi/Kurum: LOGIC JOURNAL OF THE IGPL | İndeks: WOS.SCI | DOI: 10.1093/jigpal/jzaf005 | Anahtar Kelimeler: Leonardo sequence, recurrence relations, Hessenberg matrices, determinant — Özet:
This note covers some of the history of Leonardo numbers. We retrieve some of the most recent results on this sequence, as well as some relevant historical interconnections. In the end, we also provide some conjectures and open problems for some of its extensions involving the modular periodicity.