I am interested in downloading the first 25 integers of each sequence in the OEIS database. My reason for wanting to do so is to find the arithmetic mean of the first integers, the arithmetic mean of the second integers, etc. and then plot these values. The hope is that there is a relatively smooth curve that emerges for the mean values even though many of these sequences are wildly chaotic. Similarly I want to find the median, standard deviations, geometric mean and other statistics on these integers. In fact by rounding these values to integers, it would define a new sequence, call it the "OEIS mean 2018 sequence" and so forth. Over time the OEIS sequence would change as more sequences are added to the database, hence the date stamp.
When I visit the site, I can only download one sequence at a time, which would be way too much effort for all 250,000 (+) sequences. Is there a way to query the entire database at once?
Yes, you can download the sequences and their A-numbers in a gzipped file that's updated daily.