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Padovan-like sequences and generalized Pascal’s triangles

Authors: Anatriello, Giuseppina; Vincenzi, Giovanni;

Padovan-like sequences and generalized Pascal’s triangles

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.

Country
Italy
Keywords

Padovan-like sequences · Plastic number · Combinatorial identities · Kepler limit · generalized Pascal’s triangle · Computational methods

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selected citations
These citations are derived from selected sources.
This is an alternative to the "Influence" indicator, which also reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Citations provided by BIP!
popularity
This indicator reflects the "current" impact/attention (the "hype") of an article in the research community at large, based on the underlying citation network.
BIP!Popularity provided by BIP!
influence
This indicator reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Influence provided by BIP!
impulse
This indicator reflects the initial momentum of an article directly after its publication, based on the underlying citation network.
BIP!Impulse provided by BIP!
0
Average
Average
Average
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