why not just create an online API for this? Sequences that are not yet "found" would go uncompressed, and as time goes by and internet speeds get faster and com

why not just create an online API for this? Sequences that are not yet "found" would go uncompressed, and as time goes by and internet speeds get faster and computing power gets cheaper, more sequences will be "found" for reference in that API and the algorithm will keep getting better. Alternatively, you could release a program that comes with an already long sequence of the decimal section of PI and connects regularly to the internet to download more digits (you could even run the computation & API on a google compute / amazon ec2 instance to keep costs low)