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.
Tribonacci-like sequences and generalized Pascal's pyramids
Giovanni Vincenzi
2014
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.File in questo prodotto:
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