In this paper, we consider the usual Lucas numbers and the generalized order-k Fibonacci numbers. Then we give a new definition for generalization of the Lucas numbers. Therefore, we give the ...

In this paper, we study the symmetric and the generating functions for odd and even terms of the second-order linear recurrence sequences. we introduce a operator in order to derive a new family of ...

An unusual arrangement of leaves in a 407-million-year-old fossilized plant is complicating scientists’ understanding of plant evolution. Most land plants living today have spiral patterns involving ...

Some people like a little challenge in the morning, and that’s what Philippe Chretien hopes to offer with his new device. He is the man behind the Fibonacci Clock, which is exactly what it sounds like ...

Traders are constantly confounded by the conundrum of when to enter a position during a trending market. Enter too early and run the risk of your stop getting hit before the trend continues its ...