>>7047

>>7055

Using x=f-1 as the basis to chain records together enables large jumps in both (e,1) and (-f,1).

Attached pics are for c145 and c551 and show only the (e,n,t) values in their x=f-1 sequences.

For c145, the starting (1,1,12) record represents the x=f-1 move from (1,61,6) where f=24. Records for subsequent moves upwards are created by e,n,x where x=f-1, using f from the current record.

For c551, the starting (-25,1,37) record represents the x=f move from (22,253,12) where f=25. Note the use of x=f when moving from the e column to -f column. Subsequent moves up then follow the x=f-1 formula from the current record.

When moving in reverse, both columns behave similarly.

The previous d value can be calculated as:

previous_f = x + 1;

previous_d = ( previous_f + e - 1 ) / 2;

And then records can be created using the e,n,d values.

>>7124

Attached pics are additional output of the x=f-1 sequences for c145, c259, c287, and c6107.

These tests show both (e,1) and (-f,1) columns including negative x. Again, only displaying (e,n,t) values for brevity.

The entry into (-f,1) was created via x=f, initial entry in (e,1) created via x=f-1. All other records created using x=f-1 from the previous record in the column.

The (-f,1) prev and (e,1) prev columns show the backwards movements, except where (0,1,1) is displayed - haven't yet figured out how to extend into negative x.

Finally, the t diff, div and mod columns show a continued relationship between records in -f and e to the starting f value even while the t values grow independently.

Also interesting to note the t value patterns. See c259 in (e,1) and c6107 in (-f,1) for examples. Perhaps binary would reveal a closer connection.