Part 5 - List of Numbers

 Part 5 - List of numbers, S[4] to infinity, Beyond everything and TREE sequence

Ellewekto = {10, 100 [1 [2 \(1 [1, 2] 2)2] 2] 2}

(El-eh-we-kt-o)

Voopowa = {10 100 [2] 2 [1 [2 \(1 [2] 2) 2] 2] 2}

(Voo-po-wa)

Lexindor = {10, 100 [1 [2 \(1 [1, 2] 2) 2] 2] 2}

(Lek-sin-dor)

Unnamed numbers will not have an equal sign or a question mark

{10, 10 [1 [2 \(1 [1 [1, 1, 2] 2] 2) 2] 2] 2}

{10, 10 [1 [2 \(1 [1 [1, 1, 1, 2] 2[ 2) 2] 3] 2}

{10, 100 [1 [2 \(1 [1 [1, 1, 1, 1, 2] 2] 2) 2] 2] 2}

{10, 100 [1 [2 \(1 [1 [1 [2] 2] 2] 2) 2] 2] 2}

Farl Worhser = {10, 100 [1 [2 \(1 \ 2) 2] 2] 2}

(Far-lol-wor-ser)

{10, 10 [1 [2 \(1 \ 3) 2] 2] 2}

{10, 100 [1 [2 \(1 \ 1,2) 2] 2] 2}

Turbo = {10, 10 [1 [2 \(1 \ 1 \ 2) 2] 2] 2}

Super Turbo = {10, 10 [1 [2 \(1 \ 1 \ 1 \ 2) 2] 2] 2}

{10, 100 [1 [2 \(1 \(2) 2) 2] 2] 2}

{10, 100 [1 [2 \(1 \(2) 2) 2] 2] 3}

{10, 100 [2 [2 \(1 \(2) 2) 2] 2] 2}

{10, 100 [1 [2 \(2 \(2) 2) 2] 2] 2}

{10, 100 [1 [2 \(1,2 \(2) 2) 2] 2] 2}

{10, 100 [1 [2 \(1 \ 2 \(2) 2) 2] 2] 2}

S[5] = {10, 10, 5 [1 [1 [1 [1 [2 \(1 \ 2 \(2) 2) 2] 2] 2] 2] 2] 5}

{10, 100 [1 [2 \(1 \(2) 3) 2] 2] 2}

{10, 100 [1 [2 \(1 \(2) 1,2) 2] 2] 2}

{10, 100 [1 [2 \(1 \(2) 1 \ 2) 2] 2] 2}

{10, 100 [1 [2 \(1 \(3) 2) 2] 2] 2}

{10, 100 [1 [2 \(1 \(1, 2) 2) 2] 2] 2}

{10, 100 [1 [2 \(1 \(1 \ 2) 2) 2] 2] 2}

Extreme Turbo {10, 10 [1 [2 \(1 \(1 \ 1 \ 2) 2) 2] 2] 2}

{10, 100 [1 [2 \(1 \(1 \(2) 2) 2) 2] 2] 2}

{10, 100 [1 [2 \(1 \(1 \(1, 2) 2) 2) 2] 2] 2}

{10, 100 [1 [2 \(1 \(1 \(1 \ 2) 2) 2) 2] 2] 2}

Thirtated Turbo {10, 100 [1 [2 \(1 \(1 \(1 \ 1 \ 2) 2) 2) 2] 2] 2}

{10, 100 [1 [2 \(1 \(1 \(1 \(1,2) 2) 2) 2) 2] 2] 2}

Illurso Turbo = {10, 10 [1 [2 • 2] 2] 2}

Omotoqa = {10, 100 [1 [2 • 2] 2] 2}

(Om-ot-ok-a)

Ossiu Occo Ocular Miracle = {Googol$, Googol$ [1 [2 • 2] 2] 2}

Grand Omotoqa = {10, Omotoqa [1 [2 • 2] 2] 2}

Omotiqa = {10, 100,2 [1 [2 • 2] 2] 2}

Omotaqa = {10, 100, 3 [1 [2 • 2] 2] 2}

TREE(4) ≈ {4, 4, 4 [1 [2 • 2] 2] 2}

Omoteeqa = {10, 100, 4 [1 [2 • 2] 2] 2}

Omotioqa = {10, 100, 5 [1 [2 • 2] 2] 2}

Bomotoqa = {10, 10, 100 [1 [2 • 2] 2] 2}

Tromotoqa = {10, 10, 10, 100 [1 [2 • 2] 2] 2}

Ombotoqa = {10, 100 [2] 2 [1 [2 • 2] 2] 2}

Combo Pair = {10, 100 [1 [2 • 2] 2] 3}

Clogillion = 10^(3×10^^^Combo Pair)^3000

Bux Gash = {10, 100 [2 [2 • 2] 2] 2}

Bux Bux Gash = {10, 100 [3 [2 • 2] 2] 2}

Schillhica = {10, 100 [1 [2 • 2] 3] 2}

Aucguocga = {10, 100 [1 [3 • 2] 2] 2}

(Oc-goo-oak-ga)

Auctiated Aucguocga = {10, 100 [1 [4 • 2] 2] 2}

(Auc-she-aet-id-Oc-goo-oak-ga)

Fuutos = {10, 100 [1 [2 • 3] 2] 2}

{10, 100 [1 [2 • 1,2] 2] 2}

Ultimate Turbo = {10, 100 [1 [2 • 2 • 2] 2] 2}

{10, 100 [1 [2 •(2) 2] 2] 2}

Miracle Ocular = {Googol$, 2, 2 [1, 2[1, 2•(1, 3) 1, 2] 2] 2}

{100, 100 [1 [2 •(2 • 2) 2] 2] 2}

Sophosaganpijaalphakryatamoscobolger ={10, 100 [1 ]2 \\ 2] 2] 2}

{10, 100 [1 [10 •• 10] 2] 2}

Arthritis = {10, 10 [1 [2 ••••...•••• 2] 2] 2} with 100 bullets 

Ocular Dolphin Miracle = {Googol$, 2, 2 [1 [100 ••••...••• 100] 100] 100} with Ocular Miracle bullets

Arthritisplex = {10, 10 [1 [2 ••••...•••• 2] 2] 2} with Arthritis Bullets

We are gonna have to extend Bird's array notation,

Arthritis = {10, 100 [1 [2 > 2] 2] 2}

Arthritisplex = {10, Arthritis [1 [2 > 2] 2] 2}

Giggol-by-arthritis = {10, 100, 2 [1 [2 > 2] 2] 2}

Boogol-by-arthritis = {10, 10, 100 [1 [2 > 2] 2] 2}

Goobol-by-arthritis = {10, 100 [2] 2 [1 [2 > 2] 2] 2}

Xappol-by-arthritis = {10, 10 [3] 2 [1 [2 > 2] 2] 2}

Gongulus-by-arthritis = {10, 10 [100] 10 [1 [2 > 2] 2] 2}

Grand Arthritis (Arthritis-by-arthritis) = {10, 100 [1 [2 > 2] 2] 3}

Arthritossol = {10, 10 [1 [2 > 2] 2] 100}

Super Arthritis = {10, Arthritis [1 [2 > 2] 2] Arthritis} ≈ {10, 3, 2 [1 [2 > 2] 2] 1, 2}

{10, 100, 2 [1 [2 > 2] 2] 1, 2}

{10, 100 [1 [2 > 2] 2] 1 [1 [2 > 2] 2] 2}

{10, 100 [2 [2 > 2] 2] 2}

{10, 100 [1 [2 > 2] 3] 2}

Bulisso Arthritis {10, 100 [1 [3 > 2] 2] 2}

Dope Arthritis {10, 100 [1 [1 > 3] 2] 2}

Pixillion Arthritis {10, 100 [1 [1 >(2) 2] 2] 2}

Hussie Arthritis {10, 100 [1 [1 >> 2] 2] 2}

Malaria = {10, 10 [1 [2 >>>...>>> 2] 2] 2} with 100 greater than signs

The Supercalifragilisticexpialidocious Ocular Miracle = {Googol$, Googol$, [1 [2 >>>>...>>>> 2] 2] 2} with Ocular Miracle greater than signs

Excellent Turbo = {3, 3, 3 [1 [2 >>>...>>> 2] 2] 2} with Super Turbo Greater Than Signs

Extending again, less than signs

Malaria = {10, 100 [1 [2 < 2] 2] 2}

Malariaplex = {10, Malaria [1 [2 < 2] 2] 2}

Grand Malaria = {10, 100 [1 [2 < 2] 2] 3}

Bular = {10, 10 [1 [2 <<<...<<< 2] 2] 2}, with 100 less than signs

Bular Turbo = {3, 3, 3 [1 [2 <<...<< 2] 2] 2} with Turbo less than signs

Bular Ocular Miracle = {Googol$, 3, 3 [1 [10 <<<...<<< 10] 2] 1, 2] with Occo Ocular Miracle Less Than Signs

We cannot go further than this, we ran out of computable numbers, let's go into Uncomputable Numbers

TREE(3) lowerbound = {3, 3 [1 [2 \ 1, 2 ~ 2] 2] 2}

TREE(3) (computable) = {3, 3 [1 [2 \(2, 2) 2] 2] 2}

Milmnlashaani-teghainnia = TREE(100)

Milmnlashaani-thousainnia = TREE(1000)

Milmnlashaani-teghainniaplex = TREE(TREE(100))

Milmnlashaani-nestian-teghainnia = TREE(TREE(...(TREE(TREE(100)))...))) With 100 TREEs

Milmnlashaani-eheinian-teghainnia = TREE^^100(10)

Milmnlashaani-teghainnian-teghainnia = TREE{100}10(10)

Milmnlashaani-corporainnian-teghainnia = TREE{{1}}100(10)

Milmnlashaani-supainnian-teghainnia = TREE{{1}}(TREE(100))(10)

Milmnlashaani-extremetainnia = TREE{{{{...{{{{10}}}}...}}}}10(10) with Milmnlashaani-teghainnian-teghainnia pairs of {}

Milmnlashaani-megainnian-teghainnia = TREE{{{{...{{{{10}}}}...}}}}10(10) with milmnlashaani-supainnian-teghainnia pairs of {}

There is no possible chance to go beyond these, so, this is what is here,

Infinity = ∞