Tribonacci-like sequences and generalized Pascal's pyramids

• Autores: Giuseppina Anatriello, Giovanni Vincenzi
• Localización: International journal of mathematical education in science and technology, ISSN 0020-739X, Vol. 45, Nº. 8, 2014, págs. 1220-1232
• Idioma: inglés
• DOI: 10.1080/0020739x.2014.914283
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• Resumen

  • 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 triangleassociated to a suitable generalized Pascal's pyramid. The results also extend similar properties of Fibonacci-like sequences.