A Cullen Number is any number that is contained in the sequence generated using the formula:
C(n) = (n*2^n)+1.
Write a program or function that receives an input and outputs a truthy/falsy value based on whether the input is a Cullen Number.
A non-negative integer between 0 and 10^9 (inclusive).
A truthy/falsy value that indicates whether the input is a Cullen Number.
Input: Output: 1 ---> truthy 3 ---> truthy 5 ---> falsy 9 ---> truthy 12 ---> falsy 25 ---> truthy
This is code-golf, so the lowest score in bytes wins.