As their results began to crystallize, at first they didn’t notice the striking patterns emerging. But a colleague who reviewed their work spotted the famed Fibonacci numbers—a list whose entries have ...

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 ...

Physicists shot a laser pulse sequence mimicking the Fibonacci sequence at a quantum computer and ended up creating a new phase of matter in the process, according to a study published in Nature ...

Leonardo Pisano (1170–1250), or Fibonacci, is perhaps best known for a remarkable sequence of numbers that arises out of a problem that involves breeding rabbits. The problem is contained in the third ...