Another update on >>6774 and >>7319
>where the product of BigN and c are found in (e,1)
The cell where a[t]=c*BigN in (e,1) appears where x=c-d.
>and where the other value of c is in (e,1)
Another cell in (e,1) where a[t]%c==0 is where x=c+d+1. There are others, but I think it's fairly obvious why this one is probably the significant one (the x formula).
>and what information that gives us
I don't know what information that gives us yet unfortunately.
>the key that is made by column -f with the locations of c in (-f,1) and how to find x for an and a(n-1)
I haven't figured this out yet, but here are some test cases if anyone else spots anything.
—
7*29=203
(7,4,4) = {7:4:14:7:7:29}, f = -22, sqrt(2d) = 5
(7,1,95) = {7,1,18053,189,17864,18244}, f=-36100 (x=c-d)
17864/203=88 (BigN)
(7,1,109) = {7,1,23765,217,23548,23984}, f=-47524 (x=c+d+1)
23548/203=116
(-22,1,95) = {-22,1,17849,188,17661,18039}, e=-22 (x=c-d)
17661/203=87 (BigN-1)
(-22,1,110) = {-22,1,23969,218,23751,24189}, e=-22 (x=c+d+1)
23751/203=117
—
13*43=559
(30,5,6) = {30:5:23:10:13:43}, f = -17, sqrt(2d) = 6
a: (30,1,269) = {30,1,144199,536,143663,144737}, f=-288369 (x=c-d)
143663/559=257 (BigN)
a: (30,1,292) = {30,1,169959,582,169377,170543}, f=-339889 (x=c+d+1)
169377/559=303
a: (-17,1,268) = {-17,1,143639,535,143104,144176}, e=-17 (x=c-d)
143104/559=256 (BigN-1)
a: (-17,1,292) = {-17,1,170519,583,169936,171104}, e=-17 (x=c+d+1)
169936/559=304