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 / Anatriello, Giuseppina; Vincenzi, Giovanni. - In: ANALELE STIINTIFICE ALE UNIVERSITATII "AL.I. CUZA" DIN IASI. MATEMATICA. - ISSN 1221-8421. - LXVI:1(2020), pp. 25-35.
Padovan-like sequences and generalized Pascal’s triangles
Anatriello, Giuseppina;Vincenzi, Giovanni
2020
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.I documenti in IRIS sono protetti da copyright e tutti i diritti sono riservati, salvo diversa indicazione.
