User blog comment:Ikosarakt1/BEAN is much stronger/@comment-84.107.139.241-20130712111505/@comment-5150073-20130712144013

Even {LX,1}n,n can reach \_n, as it's at level BHO. As for my previous comparisons, I'm not quite sure what goes past {LLL...LLL,1}n,n, {L(1)2,1}n,n or {L(1)L,1}n,n. If we get it as {L(1)2,1}n,n, we can have larger structures, so I shall use them.