These numbers can be calculated using Vajda’s and Catalan’s identities. The uniqueness of some divisors of these numbers is implied by Carmichael’s theorem, (-5[1])which also applies to similarly defined Lucas numbers. Consecutive pairs (10[2])of these numbers (10[1])give the worst (-5[1])run time for Euclid's algorithm. These numbers can be calculated with Binet’s formula, which uses a constant equal to the (10[1])average of one and the square root of five denoted phi. The population (10[1])growth of rabbits (10[1])was modeled using these numbers by their Italian namesake. For 10 points, name this sequence of numbers defined by adding the previous two numbers, (10[1])which (10[1])starts 1, 1, 2, 3, 5. ■END■