A well-known result of Feinberg and Shannon states that the tribonacci sequence can be detected by the so-called Pascal’s pyramid. Here we will show that any tribonacci- like sequence can be obtained by the diagonals of the Feinberg’s triangle associated to a suitable generalized Pascal’s pyramid. The results also extend similar properties of Fibonacci-like sequences.
Titolo: | Tribonacci-like sequences and generalized Pascal's pyramids |
Autori: | |
Data di pubblicazione: | 2014 |
Rivista: | |
Abstract: | A well-known result of Feinberg and Shannon states that the tribonacci sequence can be detected by the so-called Pascal’s pyramid. Here we will show that any tribonacci- like sequence can be obtained by the diagonals of the Feinberg’s triangle associated to a suitable generalized Pascal’s pyramid. The results also extend similar properties of Fibonacci-like sequences. |
Handle: | http://hdl.handle.net/11386/4526713 |
Appare nelle tipologie: | 1.1.2 Articolo su rivista con ISSN |
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