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Tribonacci-Like Sequences and Generalized Pascal's Pyramids


IJMEST Volume 45, Number 8, ISSN 0020-739X


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.


Anatriello, G. & Vincenzi, G. (2014). Tribonacci-Like Sequences and Generalized Pascal's Pyramids. International Journal of Mathematical Education in Science and Technology, 45(8), 1220-1232. Retrieved November 21, 2019 from .

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