Very interesting, Sudzee.
I would bring you this remark:
If the note #612 has the stronger reverse print of the number 613 (as I understand the thing), it does not prove that the #613 was printed first. Nothing tells you that the notes are stacked as printed, one note over the next, back up. You can get the same result if the notes are numbered in normal ascending order, and when a newly numbered sheet exit the press, it can be flipped face up before stacking: hence, the note #612 is numbered, exit the press, falls face-up on the stack so when the note #613 fall face-up on the note #612, its ink touches the face of the note #612 and transfer its number (613) on the face of the note #612. An argument for this reasoning is the fact that in a brick, the first note on the top of the brick when placed face up is the note #999, and the last at the bottom is #000.
However, I cannot figure how the same number can be transfered on the face of six different notes... :-? :-? :-?, moreover, one out of two?
And what could be the use to print the even numbers on one printing and the odd numbers on an other and combine the two series in one, in strict order without any error in the sequence?
It is not the simplest way to print a long sequence of numbers...
Maybe some one have a good explanation for this sequence?