## FANDOM

10,843 Pages

First, I have to say a sad thing... This number is very salad.

## notation

This notation is lower compatible of arrow and chain notation.

First, I use 4 signs: $\leftarrow,\rightarrow,\uparrow,\downarrow$.

And see this table:

Lv1

Lv2

arrowy

$\uparrow$

$\downarrow$

chainy

$\rightarrow$

$\leftarrow$

## Definitions of words

command is a sequence of arrows.

$\uparrow$ and $\downarrow$ are arrowy.

$\leftarrow$ and $\rightarrow$ are chainy.

## Definitions of notations

In and below this section, capital letters are command and small letters are numbers.

Commands are defined from right to left.

### If the last one is arrowy

If the command is made with one arrow,

$a\uparrow b=a^b$

$a\downarrow b=a\uparrow^{b}a$

Otherwise,

$aC\uparrow b=aCaC...(btimes a's)...Ca$

$aC\downarrow b=aCaC...(btimes a's)...Ca$

### If the last one is chainy

If the last one is same as the one before last:

$aC\rightarrow b C\rightarrow c=aC\rightarrow (aC\rightarrow (b-1) C\rightarrow c) C\rightarrow c-1$

(note: this rule is same if the last arrows are $\leftarrow$ .)

(note2: If any 1's is in this notation, after that,, including the one,, is deleted.)

Otherwise:

$aC\rightarrow b=aC\uparrow b$

$aC\leftarrow b=a\rightarrow^{b}a$

This is hard to understand, so I will give you an example.

$3\leftarrow\leftarrow3$

$=3\leftarrow\uparrow3$

$=3\leftarrow3\leftarrow3$

$=3\leftarrow(3\leftarrow2\leftarrow3)\leftarrow2$

$=3\leftarrow(3\leftarrow(3\leftarrow1\leftarrow3)\leftarrow2)\leftarrow2$

$=3\leftarrow(3\leftarrow3\leftarrow2)\leftarrow2$

$=...$

Just writing notaions is not fun. Last but not least, I will write a number:

Unreasonable number = $3\rightarrow\downarrow\uparrow\rightarrow\rightarrow\downarrow\rightarrow\rightarrow\uparrow\uparrow\downarrow\downarrow\leftarrow\rightarrow\leftarrow\rightarrow3$