The recursive sequence defined by
. The values of the sequence are divided into blocks of values between
and visualized in several ways.
Snapshot 1: plots of each block superposed and scaled to fit the same range.
Snapshot 2: plots of each block at different levels.
Snapshot 3: superimposing the points
of each block versus
. The picture shows a preferred orientation and the points lie on lines.
Snapshot 4: blocks aligned from the left; a maximum of 23 values is shown. Notice that even or odd values lie in the same column.
Snapshot 5: blocks normalized and scaled to fit the same range.
The author conjectures that is possible to generate this sequence with a substitution system of some kind.