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Here are all parts of ExE series:

  1. Hyper-E Notation
  2. Extended Hyper-E Notation
  3. Cascading-E Notation
  4. Extended Cascading-E Notation
  5. Extended Up-Arrow E Notation
    1. There is sub-items of this notation.
    2. Nested Up-Arrow E Notation
    3. Array Up-Arrow E Notation
    4. ...

Let \(E100\#\uparrow_{1}\#100 = E100\#\uparrow_{1}(100)100 = E100\#\uparrow^{100}\#100 = E100\#\underbrace{\uparrow\uparrow ... \uparrow\uparrow}_{100}\#100\).

Then \(E100(\#\uparrow_{1}\#)\uparrow_{1}\#100 = E100(\#\uparrow_{1}\#)\uparrow^{100}(\#\uparrow_{1}\#)100\), \(E100\#\uparrow_{1}\# > \#100 = E100\underbrace{((...(\#\uparrow_{1}\#)\uparrow_{1}\#)...)\uparrow_{1}\#)\uparrow_{1}\#}_{100}100\), etc.

There is \(\#\uparrow_{1}\#\# = \underbrace{\#\uparrow_{1}\# > ... > \#\uparrow_{1}\#}_{\#}\), \(\#\uparrow_{1}\#\uparrow_{1}\# = \#\uparrow_{1}\#\underbrace{\uparrow\uparrow ... \uparrow\uparrow}_{\#}\#\), \(\#\uparrow_{1}\uparrow\# = \underbrace{\#\uparrow_{1}\# ... \#\uparrow_{1}\#}_{\#}\), \(\#\uparrow_{1}\uparrow_{1}\# = \#\uparrow_{1}\underbrace{\uparrow\uparrow ... \uparrow\uparrow}_{\#}\#\), \(\#\uparrow_{2}\# = \#\underbrace{\uparrow_{1}\uparrow_{1} ... \uparrow_{1}\uparrow_{1}}_{\#}\#\), etc.

Numbers

  • Googole = \(E100\#\uparrow\#100\)
  • Giggole = \(E100\#\uparrow\uparrow\#100\)
  • Gaggole = \(E100\#\uparrow\uparrow\uparrow\#100\)
  • Boogole = \(E100\#\uparrow_{\uparrow}\#100\)
  • Troogole = \(E100\#\uparrow_{\uparrow\uparrow}\#100\)
  • Superoogole = \(E100\#\uparrow_{\uparrow_{\uparrow}}\#100\)
  • Squaroogole = \(E100\#\uparrow_{\uparrow_{\uparrow\uparrow}}\#100\)
  • Toperoogole = \(E100\#\uparrow_{\uparrow_{\uparrow_{\uparrow}}}\#100\)
  • Poperoogole = \(E100\#\uparrow_{\uparrow_{\uparrow_{\uparrow_{\uparrow}}}}\#100\)
  • Omegeroogole = \(E100\#\uparrow_{,\uparrow}\#100\)
  • Duomegeroogole = \(E100\#\uparrow_{,\uparrow\uparrow}\#100\)
  • Ogigeroogole = \(E100\#\uparrow_{,,\uparrow}\#100\)
  • Osuperoogole = \(E100\#\uparrow_{,_{\uparrow}\uparrow}\#100\)
  • Finaloogole = \(E100\#\uparrow_{(|,_{1}\uparrow)\uparrow}\#100\)

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