I'd like to solve a recurrence, so I've been reading about solving recurrences, and all the ones I've seen solved involve only previous terms of the recurrence, and constants. My recurrence is
$t(n) = \frac{t(n-1)(1-\ln(n-1))}{\ln n}$
and if I could get help solving it, I'd be much obliged; but I'd especially like to know if there are any general principles for solving recurrences of this nature (with functions in them).