User blog comment:Dchew89/An Ordinal Describing the Growth Rate of my d(n) Function/@comment-30754445-20190218043613/@comment-38080588-20190218091012

Also, regarding exact fundamental sequences, I think a good general rule would be to use the most common variation of each fundamental sequence or the most obviously applicable variation. For example, to find \(\varepsilon_1\), \(\omega^{\omega^{\varepsilon_0+1}}\) probably should not be used as it will never appear, while \(\varepsilon_0^{\varepsilon_0}\) does. Regarding most common fundamental sequences, the final output of the sequence for this ordinal shouldn’t be affected by thy factor alone, even if it is different in the beginning.