• Natan Consigli

    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[4]!= n[4]((n-1)[4]!) n[5]!= n[5](n-1)[5]!.

    I then thought of generalizing the concepts above.

    In general, for any n-th hyperoperation we have:

    a[n]b= b+1 for n

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