Hi Daniel -
I should add, that R.Aldrovandi has rewritten that paper referred by you in 2014 and called it "Tetration: an iterative approach". He took some inspiration from your and my work and mentions us explicitely in the text. There is now a section on Carleman-matrices and the conversion between Carleman & Bell-matrices.
However still "lightweight" a bit...
I should have noted this before writing my previous answer, but just found the text in an unworked subdirectory for the import of articles into my database.
The article is on arxiv: https://arxiv.org/abs/1410.3896v1
Gottfried
I should add, that R.Aldrovandi has rewritten that paper referred by you in 2014 and called it "Tetration: an iterative approach". He took some inspiration from your and my work and mentions us explicitely in the text. There is now a section on Carleman-matrices and the conversion between Carleman & Bell-matrices.
However still "lightweight" a bit...
I should have noted this before writing my previous answer, but just found the text in an unworked subdirectory for the import of articles into my database.
The article is on arxiv: https://arxiv.org/abs/1410.3896v1
Gottfried
Gottfried Helms, Kassel