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, which (-5[1])also (10[1])applies to similarly (-5[2])defined Lucas numbers. (10[4]-5[1])Consecutive (10[2])pairs (10[4])of these numbers (10[4])give the worst (10[1]-5[1])run time for Euclid's algorithm. (10[1]-5[1])These numbers can be calculated with Binet’s formula, (10[2])which (-5[1])uses (10[1])a constant equal to the (10[1])average of one and the square root of five denoted (-5[1])phi. (10[4])The population (10[2])growth of rabbits (10[1])was (10[1])modeled (10[1])using these numbers (10[2])by their (10[1])Italian (10[1])namesake. (10[1])For (10[1])10 points, (10[2])name this sequence (10[1])of numbers defined (10[2])by (10[1])adding the (10[1])previous (10[1])two (10[2])numbers, (10[3])which (10[1])starts 1, (10[1])1, 2, 3, 5. (10[1])■END■ (10[1])