Abstract. We study higher-dimensional interlacing Fibonacci sequences, generated via both Chebyshev type functions and m-dimensional recurrence relations. For each integer m, there exist both rational ...

If you don’t know what Fibonacci day is then go now and have a look at the calendar, write today’s date in the Month/Day format (11/23), you’ll notice a pattern, the first four digits of the famous ...

Mathematicians and fans of unusual natural occurrences can celebrate 11/23 as Fibonacci Day, based on the first four numbers of his historic sequence November 23 might not sound like a day to ...

When Fibonacci introduced what would become an eponymous sequence, he did so using rabbits as an analogy. Breeding pairs of rabbits are able to multiply within their ranks infinitely. Unfortunately, ...

Trying variants of a simple mathematical rule that yields interesting results can lead to additional discoveries and curiosities. The numbers 1, 1, 2, 3, 5, 8, 13, 21, 34, and 55 belong to a famous ...

In this article, we have presented a novel and unified numerical strategy for addressing the Benjamin-Bona-Mahony (BBM) type partial differential equations with the use of the Fibonacci wavelets and ...