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The Function

F_{n}(x)=F_{0}(F_{n-1}(x-1))+n;F_{0}(x)=2^{x}+1

The Numbers

Nillex

F_{1}(0)=2(1+\sqrt{2}) (noninteger)

Deuteroex

F_{1}(2)=10

Triex

F_{1}(3)=34

Tetraex

F_{1}(4)=514

Decaex

F_{1}(F_{1}(2))=F_{1}(10)\approx 2.68\times10^{154} (This is also equal to Superiordeuteroex)

Minor Deuteroexibang

F_{1}(2)!!=3,840

Major Deuteroexibang

F_{1}(2)!=3,628,800

Minor Triexibang

F_{1}(3)!! \approx 4.66 \times10^{19}

Major Triexibang

F_{1}(3)! \approx 2.95\times10^{38}

Deuteroduex

F_{2}(2)=67

Triduex

F_{2}(3)=1,027

Tetraduex

F_{2}(4)=171,709,869,187

Decaduex

F_{2}(10)=3+2^{2+2^{257}}

Superiordeuteroduex

F_{2}(67)=3+2^{2+2^{1+2^{65}}}

Minor Deuteroduexibang

F_{2}(2)!!=67!! \approx 4.89\times10^{47}

Major Deuteroduexibang

F_{2}(2)!=67! \approx 3.65\times10^{94}

Deuterotrix

F_{3}(2)\approx 2,857,236,295.8 (noninteger)

Tritrix

F_{3}(3)\approx 1.47\times10^{20}

Tetratrix

F_{3}(4)\approx 1.44\times10^{309}

Decatrix

F_{3}(10)=4+2^{3+2^{2+2^{129}}}

Googoloex

F_{1}(10^{100})=2+2^{1+2^{10^{100}-1}}

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