User blog:Luckyluxius/I have made my own version of the Chained Arrow Notation.

Basically it might just be the normal CAN.

a \rightarrow b = a\(^{b}\)

a \rightarrow b \rightarrow c =

a \rightarrow ... \rightarrow b (c amount of \rightarrow )

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Examples:

2 \rightarrow 2 = 4

2 \rightarrow 2 \rightarrow 3 = 2 \rightarrow \rightarrow \rightarrow 2 = 2 \rightarrow \rightarrow (2 \rightarrow \rightarrow 2)

2 \rightarrow (2 \rightarrow (2. . . )) (2 \rightarrow \rightarrow 2 copies of 2)

2 \rightarrow 2 \rightarrow 2 = 2 \rightarrow \rightarrow 2 = 2 \rightarrow (2 \rightarrow 2) = 2 \rightarrow 4 = 2 \rightarrow 4 = 16

3 \rightarrow 3 \rightarrow 4 \rightarrow 64 = graham's number

3 \rightarrow 3 \rightarrow 4 \rightarrow 64 \rightarrow (3 \rightarrow 3 \rightarrow 4 \rightarrow 64) = g\(_{g_{64}} \)

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A more compact version is:

L(2,2) = 4

L(3,3,4,64) = Graham's number

L(5,5,3) = booga(5)

L(L(2,2),(L,2,2),(L,2,2),(L,2,2)) = L(4,4,4,4) = L(4,4,16) = 4 Hexadecated to 4

L(10,100) = Googol

L(10,100,4) = 10 tetrated to 100

L(10\(^{100},100,10^{100}) \) = googol googol-ated to 100

L(2,2,2) = L(L(2,2),L(2,2)) = L(4,4) = 256

L(2,2,2,2) = 2 \rightarrow \(^{L(2,2,2)} 2 \)

L(a,b,c,d) = a \rightarrow \(^{L(b,c,d)} d

L(3,3,4) = g\(_{1} \)

L(2,2,2,2,2) = 2 \rightarrow \(^{L(2,2,2)} 2 \)

L(3,L(3,3,4,64),3) = 3 graham's number-ated to 3

___________________________________________________________________________________________________Numbers from L-CAN

L(\varphi, 10\(^{100} \) , 2) = Danogol

L(\varphi, 10\(^{100} \) , 3) = Tritinogol

L(\varphi, 10\(^{100} \) , 4) = Quatinogol

L(\varphi, 10\(^{100} \) , 5) = Quintignogol

L(\varphi, 10\(^{100} \) , 6) = Sextinogol

L(\varphi, 10\(^{100} \) , 7) = Sieptinogol

L(\varphi, 10\(^{100} \) , 8) = Oktinogol

L(\varphi, 10\(^{100} \) , 9) = Nonktinogol

L(\varphi, 10\(^{100} \) , 10) = Dektinogol

L(\varphi, 10\(^{100} \) , 100) = Hektinogol

L(\varphi, 10\(^{100} \) , 200) = Diktinogol

L(\varphi, 10\(^{100} \) , 300) = Twiktinogol

L(\varphi, 10\(^{100} \) , 400) = Qwiktinogol

L(\varphi, 10\(^{100} \) , 500) = Quintinogol

L(\varphi, 10\(^{100} \) , 600) = Sektinogol

L(\varphi, 10\(^{100} \) , 700) = Septqinogol

L(\varphi, 10\(^{100} \) , 800) = Okthenogol

L(\varphi, 10\(^{100} \) , 900) = Noktenogol

L(\varphi, 10\(^{100} \) , 1000) = Chylianogol

L(\varphi, 10\(^{100} \) , 1000000) = Mylianogol

L(\varphi, 10\(^{100} \) , 10\(^{9} \) ) = Gigaknogol

L(\varphi, 10\(^{100} \) , 10\(^{12} \) ) = Tiganogol

L(\varphi, 10\(^{100} \) , 10\(^{15} \) ) = Quaganogol

L(\varphi, 10\(^{100} \) , 10\(^{18} \) ) = Quinganogol

L(\varphi, 10\(^{100} \) , 10\(^{21} \) ) = Sextiganogol

L(\varphi, 10\(^{100} \) , 10\(^{24} \) ) = Septiganogol

L(\varphi, 10\(^{100} \) , 10\(^{27} \) ) = Octiganogol

L(\varphi, 10\(^{100} \) , 10\(^{30} \) ) = Nogganogol

L(\varphi, 10\(^{100} \) , 10\(^{33} \) ) = Dogganogol

L(\varphi, 10\(^{100} \) , 10\(^{100} \) ) = Googonogol

L(\varphi, 10\(^{100} \) , 10\(^{303} \) ) = Ecetoninogol

L(\varphi, 10\(^{100} \) , 10\(^{10^{3}} \) ) = Gochimanogol

L(\varphi, 10\(^{100} \) , 10\(^{3003} \) ) = Millinillionogol

L(\varphi, 10\(^{100} \) , 10\(^{10^{6}} \) ) = Gomillimanogol

L(\varphi, 10\(^{100} \) , 10\(^{10^{9}} \) ) = Gogilliganogol

L(\varphi, 10\(^{100} \) , 10\(^{10^{12}} \) ) = Gotrilliatrinogol

L(\varphi, 10\(^{100} \) , 10\(^{10^{15}} \) ) = Goquadrilliaquadrinogol

L(\varphi, 10\(^{100} \) , 10\(^{10^{18}} \) ) = Goquintilliaquinogol

L(\varphi, 10\(^{100} \) , 10\(^{10^{21}} \) ) = Gosextilliasextinogol

L(\varphi, 10\(^{100} \) , 10\(^{10^{24}} \) ) = Goseptilliaseptinogol

L(\varphi, 10\(^{100} \) , 10\(^{10^{27}} \) ) = Go'oktillia'oktinogol

L(\varphi, 10\(^{100} \) , 10\(^{10^{30}} \) ) = Gononillianoninogol

L(\varphi, 10\(^{100} \) , 10\(^{10^{33}} \) ) = Godekilliadekinogol

L(\varphi, 10\(^{100} \) , 10\(^{10^{100}} \) ) = Gogoogilliagoogonogol

L(\varphi, 10\(^{100} \) , 10\(^{10^{303}} \) ) = Go'ecetonillianecetonogol

L(\varphi, 10\(^{100} \) , 10\(^{10^{1000}} \) ) = Gochillyaillyanogol

L(\varphi, 10\(^{100} \) , 10\(^{10^{3003}} \) ) = Gomillinillinillianogol

L(\varphi, 10\(^{100} \) , 10\(^{10^{10^{6}}} \) ) = Gomillillinogol

L(\varphi, 10\(^{100} \) , 10\(^{10^{10^{9}}} \) ) = Gogigaganogol

L(\varphi, 10\(^{100} \) , 10\(^{10^{10^{12}}} \) ) = Gotereranogol

L(\varphi, 10\(^{100} \) , 10\(^{10^{10^{15}}} \) ) = Goquadrilliquadrillinogol

L(\varphi, 10\(^{100} \) , 10\(^{10^{10^{18}}} \) ) = Goquintilliquintillinogol

L(\varphi, 10\(^{100} \) , 10\(^{10^{10^{21}}} \) ) = Gosexextinogol

L(\varphi, 10\(^{100} \) , 10\(^{10^{10^{24}}} \) ) = Gosepepinogol

L(\varphi, 10\(^{100} \) , 10\(^{10^{10^{27}}} \) ) = Goktiloktinogol

L(\varphi, 10\(^{100} \) , 10\(^{10^{10^{30}}} \) ) = Gononogol

L(\varphi, 10\(^{100} \) , 10\(^{10^{10^{33}}} \) ) = Godekektinogol

L(\varphi, 10\(^{100} \) , L(10,3,2)\(^{3} \) ) = Gochylliaylliayllianogol

L(\varphi, 10\(^{100} \) , L(10,3,2)\(^{6} \) ) = Gomillillillianogol

L(\varphi, 10\(^{100} \) , L(10,3,2)\(^{9} \) ) =  Gogigagaganogol

L(\varphi, 10\(^{100} \) , L(10,3,2)\(^{12} \) ) = Goterereranogol

L(\varphi, 10\(^{100} \) , L(10,3,2)\(^{15} \) ) = Goquatilliatilliatillianogol

L(\varphi, 10\(^{100} \) , L(10,3,2)\(^{18} \) ) = Goquintilliatilliatillianogol

L(\varphi, 10\(^{100} \) , L(10,3,2)\(^{21} \) ) = Gosexexexanogol

L(\varphi, 10\(^{100} \) , L(10,3,2)\(^{24} \) ) = Goseptepteptanogol

L(\varphi, 10\(^{100} \) , L(10,3,2)\(^{27} \) ) = Gooktillillillianogol

L(\varphi, 10\(^{100} \) , L(10,3,2)\(^{30} \) ) = Gononononillianogol

L(\varphi, 10\(^{100} \) , L(10,3,2)\(^{33} \) )  = Godekekekekanogol

L(\varphi, 10\(^{100} \) , L(10,4,2)\(^{3} \) ) = Gochylliaylliaylliayllianogol

L(\varphi, 10\(^{100} \) , L(10,4,2)\(^{6} \) ) = Gomillillillillianogol

L(\varphi, 10\(^{100} \) , L(10,4,2)\(^{9} \) ) =  Gogigagagaganogol

L(\varphi, 10\(^{100} \) , L(10,4,2)\(^{12} \) ) = Gotererereranogol

L(\varphi, 10\(^{100} \) , L(10,4,2)\(^{15} \) ) = Goquadrilliaquadrilliaquadrilliaquadrillianogol

L(\varphi, 10\(^{100} \) , L(10,4,2)\(^{18} \) ) = Goquintilliaquintilliaquintilliaquintillianogol

L(\varphi, 10\(^{100} \) , L(10,4,2)\(^{21} \) ) = Gosextisextisextisextillianogol

L(\varphi, 10\(^{100} \) , L(10,4,2)\(^{24} \) ) = Gosepepepeptillianogol

L(\varphi, 10\(^{100} \) , L(10,4,2)\(^{27} \) ) = Goktiktiktiktillianogol

L(\varphi, 10\(^{100} \) , L(10,4,2)\(^{30} \) ) = Gononononillianogol

L(\varphi, 10\(^{100} \) , L(10,4,2)\(^{33} \) ) = Godektektektektillianogol

L(\varphi, 10\(^{100} \) , L(10,4,2)\(^{303} \) = Gecetonecetonecetonecetonanogol

L(\varphi, 10\(^{100} \) , L(10,4,2)\(^{3003} \) ) = Gomillinilliamillinilliamillinilliamillinillianogol

L(\varphi, 10\(^{100} \) , L(10,100,2)\(^{3} \) ) = Gochillyagooganogol

L(\varphi, 10\(^{100} \) , L(10,100,2)\(^{6} \) ) = Gomilliagooganogol

L(\varphi, 10\(^{100} \) , L(10,100,2)\(^{9} \) ) = Gogigagooganogol

L(\varphi, 10\(^{100} \) , L(10,100,2)\(^{12} \) ) = Goteragooganogol

L(\varphi, 10\(^{100} \) , L(10,100,2)\(^{15} \) ) = Goquadrilliagooganogol

L(\varphi, 10\(^{100} \) , L(10,100,2)\(^{18} \) ) = Goquintilliagooganogol

L(\varphi, 10\(^{100} \) , L(10,100,2)\(^{21} \) ) = Gosextilliagooganogol

L(\varphi, 10\(^{100} \) , L(10,100,2)\(^{24} \) ) = Goseptilliagooganogol

L(\varphi, 10\(^{100} \) , L(10,100,2)\(^{27} \) ) = Goktilliagooganogol

L(\varphi, 10\(^{100} \) , L(10,100,2)\(^{30} \) ) = Gonilliagooganogol

L(\varphi, 10\(^{100} \) , L(10,100,2)\(^{33} \) ) = Godektilliagooganogol

L(\varphi, 10\(^{100} \) , L(10,100,2)\(^{100} \) ) = Gogoogogooganogol

L(\varphi, 10\(^{100} \) , L(10,100,2)\(^{303} \) ) = Gecetonagooganogol

L(\varphi, 10\(^{100} \) , L(10,100,2)\(^{1000} \) ) = Gyliagooganogol / Gochililiagooganogol

L(\varphi, 10\(^{100} \) , L(3,3,4,64)\(^{3} \) ) = Grahachylianogol

L(\varphi, 10\(^{100} \) , L(3,3,4,64)\(^{6} \) ) = Grahamillianogol

L(\varphi, 10\(^{100} \) , L(3,3,4,64)\(^{9} \) ) = Grahagiganogol

L(\varphi, 10\(^{100} \) , L(3,3,4,64)\(^{12} \) ) = Grahateranogol

L(\varphi, 10\(^{100} \) , L(3,3,4,64)\(^{15} \) ) = Grahaquadrillianogol

L(\varphi, 10\(^{100} \) , L(3,3,4,64)\(^{18} \) ) = Grahaquintillianogol

L(\varphi, 10\(^{100} \) , L(3,3,4,64)\(^{21} \) ) = Grahasextillianogol

L(\varphi, 10\(^{100} \) , L(3,3,4,64)\(^{24} \) ) = Grahaseptillianogol

L(\varphi, 10\(^{100} \) , L(3,3,4,64)\(^{27} \) ) = Grahoktillianogol

L(\varphi, 10\(^{100} \) , L(3,3,4,64)\(^{30} \) ) = Grahanonillianogol

L(\varphi, 10\(^{100} \) , L(3,3,4,64)\(^{33} \) ) = Grahadektillianogol

L(\varphi, 10\(^{100} \) , L(3,3,4,(3,3,4,64))\(^{3} \) ) = Grahahachilianogol

L(2,2,4) = Binary-grahal = 2 \uparrow\uparrow\uparrow\uparrow 2