I've spent way too much of today putting together a program that I intend to have do the following:
>use the nested i and j loop from the grid to generate a bunch of cs (only semiprimes in this case, because they only have two n values and I haven't accounted for varying numbers of possible ns)
>brute force every single number related to c that we've been told about
>using this big list of variables, see which ones are equal, and do some arbitrary math (like mods and additions and thing) to pairs of variables to see if there are any relationships we aren't aware of
>do this to every pair of i and j, generating a big list of relationships for each one and storing them in an array
>find the relationships that are common to every single pair of i and j
VQC said enumerate the patterns, so that's what I'm trying to do with this. When I tried to do it with an Excel spreadsheet, he said I was getting very close. That Excel spreadsheet didn't go anywhere because it was far too clunky and hard to use. I've been trying to figure out how to do this in the most efficient way possible since then. I would post my code, but the number of things I've done in really stupid or lazy ways is probably embarrassing, and it's 579 lines of code anyway. Pic related is what it currently outputs. These are all pretty obvious and well known to us now (or they're just stupid redundancies that I haven't bothered to code out yet), but I've only implemented basic stuff so far. I think 55 is the number of i and j semiprime pairs it went through. I'm about to implement the first three cells where a[t]=c in (e,n) and the an, bn, a(n-1) and b(n-1) cells. Then I'll start adding other variables.
We keep going through this cycle (I think I've mentioned this before) of working on getting a big list of the patterns together, seeing a new VQC post mentioning something we weren't aware of already, and then spending all of our time on the new VQC thing or something else he didn't mention that we think will be useful and forgetting about our main objective here. If anyone would like to help me to revive the whole "enumerate the patterns" thing, please, I would really love to not be the only one doing that. If not, I'll still do it myself. Another thing that would also be useful, if anyone reads this, would be math ideas. I'm thinking there might be obscure things we aren't thinking of, like d of the na transform cell being equal to the x from the cell where a=1 and b=n or some weird bullshit like that, but I'm also thinking maybe there's a less obvious mathematical relationship like the thing I mentioned about (BigN-n)/(b-1)=(a-1)/2 (which is less obvious just looking at it). So I'm thinking if I make a big list of every variable mod every other variable, or every variable mod (every variable +1), and so on, we might find something. So what else? Maybe (variable+1)/2 and stuff. It will be more useful to first work on getting every known pattern together but I'm still thinking it might bring up things we wouldn't have otherwise discovered.