The sequence $1,1,1,3,5,9,17,31,57,105,193,355,653,1201,\dots$
is defined by $T_1=T_2=T_3=1$ and $T_n=T_{n-1}+T_{n-2}+T_{n-3}$.

It can be shown that $27$ does not divide any terms of this sequence.
In fact, $27$ is the first odd number with this property.

Find the $124$^th odd number that does not divide any terms of the above sequence.