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 / Anatriello, Giuseppina; Giovanni, Vincenzi. - In: INTERNATIONAL JOURNAL OF MATHEMATICAL EDUCATION IN SCIENCE AND TECHNOLOGY. - ISSN 0020-739X. - 45:8(2014), pp. 1220-1232. [10.1080/0020739X.2014.914283]
Tribonacci-like sequences and generalized Pascal's pyramids
ANATRIELLO, GIUSEPPINA;
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 sequencesFile in questo prodotto:
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