Properties of Cordonnier, Perrin and Van der Laan numbers. (English) Zbl 1149.11300

Summary: This paper aims to explore some properties of certain third-order linear sequences which have some properties analogous to the better-known second-order sequences of Fibonacci and Lucas. Historical background issues are outlined. These, together with the number and combinatorial theoretical results, provide plenty of pedagogical opportunities for further development.


11B37 Recurrences
11B39 Fibonacci and Lucas numbers and polynomials and generalizations
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