The generating function for these numbers is "z over the quantity 1 minus z minus z squared."
The generating function for these numbers is "z over the quantity 1 minus z minus z squared." The ratio between successive elements in this sequence converges to a continued fraction with all ones, which is equal to the golden ratio. The shallow diagonals of Pascal's triangle sum to these numbers, and these numbers were first proposed in a problem involving reproducing rabbits. For 10 points, name this sequence beginning "one, one, two, three, five," where each element is the sum of the previous two elements.
The generating function for these numbers is "z over the quantity 1 minus z minus z squared."
{Fibonacci} numbers or sequence