Expression for binomial coefficient denominator
I'm trying to find an analytical expression for the denominator of in terms of k when the fraction is fully reduced.
E.g., the first several such denominators, starting with , are
so there are various power-of-2 jumps, but I haven't been able to figure out the overall pattern so that I can nail down the expression.
Does anyone know of such an expression, or know of a good place to look to try to figure this out? If not, does anyone know if this is a fool's errand?
Thanks for any help.