Thanks:

• 'Floor' was what I was after (why didn't they just call it 'RoundDown' ?)

• I really want to try and avoid scripts for this. I want to do it in the material

• And luckily "sort-of-randomish-looking" is good enough

I just did a quick spreadsheet which proved to my satisfaction that J = (N × I) provides satisfactory results for any odd value of N (1, 3, 5, 7, etc). Once you get above 31the results repeat, so J = (35 × I) returns the same sequence as J = (3 × I), etc.

Ignoring N=1 (which gives the original sequence) and N=31 (which gives the original sequence in reverse) that gives me 14 sort-of-randomish-looking sequences.

Which I think is probably sort-of-good-enough-ish for my purposes

P.S. I noticed that a fewposts down from that Works-in-progress that you linked to bagginsbill posted a link to my Ten Digit Visualizer at ShareCG. I'm chuffed : !

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The 3Dcheapskate* occasionally posts sensible stuff. Usually by accident.
And it usually uses Poser 11, with units set to inches. Except when it's using Poser 6 or PP2014, or when its units are set to PNU.

*also available in ShareCG, DAZ, and HiveWire3D flavours (the DeviantArt and CGBytes flavour have been discontinued).