Recently, I was working on some mathematics (number theory) and try to do that just for a math fun. Prior to that, I did not refer to any literature or any research articles, as I was doing this for fun. But I went in very deep and spent almost 15 days on that as it was getting interesting.
After one stage, I was able to represent the numbers in a series representation but was not able to find the equation. After a few more days of work, I was able to extract the equation. Now, I can represent that series in one equation. This makes me very curious, as all this I did just by trial and error method and found on my own.
I know that, making equation of some series is not a big task. But, the way I came to that equation is making me think to publish an article on that.
I thought to search on whether this equation is available or not, and as it was expected the research on that has already been done.
In this scenario, can I publish a research article on the topic?