The Padovan sequence and the Plastic number are mathematical objects of central interest among architects, and from this point of view, their importance is com- parable to that of the Fibonacci sequence and the Golden mean. Padovan-like sequences, such as Perrin sequence or the Cordonnier sequence, also have mathematical applications. In this article, we will characterize a large family of Padovan-like sequences in terms of ‘Padovan diagonals’ of generalized Pascal’s triangles.

Padovan-like sequences and generalized Pascal’s triangles

Vincenzi, Giovanni
2020-01-01

Abstract

The Padovan sequence and the Plastic number are mathematical objects of central interest among architects, and from this point of view, their importance is com- parable to that of the Fibonacci sequence and the Golden mean. Padovan-like sequences, such as Perrin sequence or the Cordonnier sequence, also have mathematical applications. In this article, we will characterize a large family of Padovan-like sequences in terms of ‘Padovan diagonals’ of generalized Pascal’s triangles.
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Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/11386/4722971
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