Geodesic
On Leonardo numbers
Paula M. M. C. Catarino1 ; Anabela Borges1 ; Paula M. M. C. Catarino ; Anabela Borges
1Department of Mathematics, University of Trá-os-Montes e Alto Douro, Quinta de Prados, Vila Real, Portugal
Acta mathematica Universitatis Comenianae, Tome 89 (2020) no. 1, pp. 75-86 
Paula M. M. C. Catarino; Anabela Borges; Paula M. M. C. Catarino; Anabela Borges. On Leonardo numbers. Acta mathematica Universitatis Comenianae, Tome 89 (2020) no. 1, pp. 75-86. http://geodesic.mathdoc.fr/item/AMUC_2020_89_1_a7/
@article{AMUC_2020_89_1_a7,
     author = {Paula M. M. C. Catarino and Anabela Borges and Paula M. M. C. Catarino and Anabela Borges},
     title = { On {Leonardo} numbers},
     journal = {Acta mathematica Universitatis Comenianae},
     pages = {75--86},
     year = {2020},
     volume = {89},
     number = {1},
     url = {http://geodesic.mathdoc.fr/item/AMUC_2020_89_1_a7/}
}
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Voir la notice de l'article provenant de la source Comenius University

In this paper we consider the sequence of Leonardo numbers and we present some properties involving this sequence, including the Binet formula and the generating function. Furthermore, Cassini's identity, Catalan's identity and d'Ocagne's identity for this sequence are given. Also some expressions of sums and products involving terms of this sequence are established.