User blog comment:DrCeasium/fast growing hierarchy example/@comment-5529393-20130405023430

There are still some errors - on the 13th line, you incorrectly drop the coefficient 2 from \(\omega^2\), that last term should be \(\omega^{\omega^2 * 2 + \omega + 3} (3)\), not (\omega^{\omega^2 + \omega + 3} (3)\). Then, on the 15 line, the last term should be \(\omega^{\omega^2 + \omega} (3)\), not \(\omega^{\omega^2 + 3} (3)\);  note that only the last of the three \(\omega^{\omega^2 + \omega}\) terms will evaluate to  \(\omega^{\omega^2 + 3}\), for the first two \(\omega\) will evaluate to a much larger number. There's one more error of a similar nature - there should be a term of \(\omega^{\omega^2}(2)\) in there.