User blog comment:GamesFan2000/Alternate Ackermann Function/@comment-35470197-20181226035430/@comment-25601061-20190107044241

@P bot

Careful:

\(f^{2}_{1+\omega}(n+2)\)

\(= f_{1+\omega}(f_{1+\omega}(n+2))\)

\(= f_{1+\omega}(f_{1+n+2}(n+2))\)

\(= f_{1+\omega}(f_{n+3}(n+2))\)

\(= f_{1+f_{n+3}(n+2)}(f_{n+3}(n+2))\).

Try \(f^{2}_{n+3}(n+2)\) or \(f_{1+\omega}(n+2)\) instead.