I've struggled with this question as well, although Wolfram's tribute to Solomon Golomb (recently reposted here) helped me start to see why they're interesting.

I've struggled with this question as well, although Wolfram's tribute to Solomon Golomb (recently reposted here) helped me start to see why they're interesting. https://writings.stephenwolfram.com/2016/05/solomon-golomb-19322016/ https://writings.stephenwolfram.com/2016/05/solomon-golomb-1...