Struggling with table rendering if bStateSave is enabled

I have this issue in chrome

jquery.dataTables.js:6705
Cannot read property 'asSorting' of undefined
and firefox, same line, but a different error
TypeError: oColumn is undefined

I have seen lots of posts about this but cannot debug it or find a definitive answer, (if there is one).
I’m guessing there must be a conflict somewhere, but can’t work out where.

I found the debug bookmarklet, and uploaded the offending page, code iwucul

Looking through the debug code, i found one thing which may be relevant

"saved_aaSorting": "[[0,\"desc\",1]]" on the page with the fault, compared to

"saved_aaSorting": [
[3, "asc", 0]
],

on a page which runs ok