Fibonacci and Lucas Numbers of the Form 2 a + 3 b + 5 c + 7 d .

In this paper, we find all Fibonacci and Lucas numbers written in the form 2 a + 3 b + 5 c + 7 d , in non-negative integers a , b , c , d , with 0 ≤ max { a , b , c } ≤ d .