User blog comment:Ubersketch/Ordinals with transfinite FS expansions/@comment-35470197-20190701222433/@comment-35470197-20190702004813

Did I say something irrelevant to your question? Then what does "ordinals which have FS expansions that have transfinite amount of layers until they reach successor ordinals" mean?

I thought that you were considering an ordinal \(\alpha\) with a system of fundamental sequences such that \(\alpha[n_1][n_2]\cdots[n_k]\) is neither a successor ordinal nor zero for any \(k \in mathbb{N}\) and \((n_i)_{i=1}^{k} \in \mathbb{N}^k\).