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.
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Utilizza questo identificativo per citare o creare un link a questo documento: http://hdl.handle.net/11386/4526713
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