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
2014-01-01
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:
Non ci sono file associati a questo prodotto.
I documenti in IRIS sono protetti da copyright e tutti i diritti sono riservati, salvo diversa indicazione.
