C++ code ONLY. pls

Assume "Alpha numbers" are described by the following formula: where B(x) are "Beta numbers" defined as: Assume that A(0) 0 and B(0)0. Write a recursivVe c++ program that lets you enter a number, then find both the Alpha and Beta numbers for that value. Example 1 (user input is underlined): Which number? Alpha number: 2 Beta number Example 1 (user input is underlined): Which number? Alpha number: 2313442 Beta number