I've proposed two sequences in the oeis: the pentational factorial and the tetrational factorial sequence (which unfortunately was rejected :( ).
I have constucted them starting from the classic factorial sequence: n!=n(n-1)!; then defined an exponential version n^!= n^(n-1)^! and finally used a tetrated and pentated version: n!= n((n-1)!) n!= n(n-1)!.
I then thought of generalizing the concepts above.
In general, for any n-th hyperoperation we have:
a[n]b= b+1 for nRead more >