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In the end, we also provide some conjectures and open problems for some of its extensions involving the modular periodicity.<\/jats:p>","DOI":"10.1093\/jigpal\/jzaf005","type":"journal-article","created":{"date-parts":[[2025,2,5]],"date-time":"2025-02-05T23:21:18Z","timestamp":1738797678000},"source":"Crossref","is-referenced-by-count":4,"title":["Generalised Leonardo numbers"],"prefix":"10.1093","volume":"33","author":[{"given":"Carlos M","family":"da Fonseca","sequence":"first","affiliation":[{"name":"Kuwait College of Science and Technology , Doha District, Safat 13133, Kuwait; Faculty of Applied Mathematics and Informatics, Technical University of Sofia, Kliment Ohridski Blvd. 8, 1000 Sofia, Bulgaria; University of Deusto, 48007 Bilbao, Spain"}],"role":[{"vocabulary":"crossref","role":"author"}]},{"given":"Can","family":"K\u0131z\u0131late\u015f","sequence":"additional","affiliation":[{"name":"Department of Mathematics , Zonguldak B\u00fclent Ecev\u0131t University, Zonguldak, 67100, Turkey"}],"role":[{"vocabulary":"crossref","role":"author"}]},{"given":"Paulo","family":"Saraiva","sequence":"additional","affiliation":[{"name":"Faculty of Economics , University of Coimbra, Av. 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