For 10 points, name these numbers formed by summing the previous two terms in a namesake sequence that starts 1, 1, 2, 3, 5.
A formula that generates these numbers subtracts one exponential term from another and divides the result by root five. Binet's formula gives a closed-form expression for these numbers, which were first conceptualized to calculate the number of rabbits produced each month given an initial pair. Considered successively, the limit of the ratio of these numbers is equal to phi, the golden ratio. For 10 points, name these numbers formed by summing the previous two terms in a namesake sequence that starts 1, 1, 2, 3, 5.
A formula that generates these numbers subtracts one exponential term from another and divides the result by root five.
Fibonacci numbers