User blog comment:Vel!/Ordinal BEAF/@comment-5150073-20130315133136/@comment-5529393-20130315203219

I get slightly different results;  for example I have X^^(X+1) is at level (epsilon_0)(omega), and X^^(X+n) is approximately an m-tower of exponents, not a 2m-tower. But I do get X^^(X^^X) is at level epsilon_(epsilon_0), and I concur that the ordinal for pentational arrays  is zeta_0.