Please help! I would really appreciate it.

(20 points) You have the following sequence of numbers: 1, 2, 4, 7, 11, 16, 22, 29, 37, 46, 56, 67, 79, 92, Find the recursive rule from the above series, and give a recursive definition, and write a function that implements the definition. (Note: f(1) - 1, f(2 ) -2. f (3) 4. f(4) 7,...)