Is there a way to verify if numeric data was falsified? Would a simple randomness test work in this situation?

I have a string of numbers that are intended to represent certain stats over time, but some of the numbers appear to be staged to my eye, including a lot of repeating integers (e.g. 121, 5335, etc.) and other signs that the data is not natural. The numbers follow a trend as expected, so they are not completely random, but is there a statistical test in R that I could use to give more insight into whether the data was falsified?