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Number

Tetration

Chain notation

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Fast growing hierarchy

Chain notation
$$10 \rightarrow\rightarrow n = \underbrace{10\rightarrow10\rightarrow10...\rightarrow10}_n$$

10 -> 10 = 1010

10 -> 10 -> 2 = 10{2}10

10 —> n = 10 -> 10 -> 10 -> 10 -> …-> 10 } n

10↑10 = 1010

(10↑)1010 = 10↑10↑10↑10↑10↑10↑10↑10↑10↑10

Table of chain arrow notation
This is pass tetration, pentation, octation, yottation, centution, gootation, and so on …


 * 1→1 = 1
 * 2→1 = 2
 * 3→1 = 3
 * 3→2 = 9
 * 3→3 = 27
 * 27→27 = 729
 * 3→11 = 177147
 * 3→3→2 = 7625974987
 * 3→3→3 = 76259749873
 * 3→4→3 = 3↑↑3↑↑3↑↑3, 3↑↑↑4
 * 3→10→3 = 3↑↑↑10
 * 3→3→1→2 = 3↑2727
 * 3→3→3→3→3→3→3→3→3 = {3,3,3,3↑↑↑↑3}
 * 3→→15 = {3,3,3,3,3}
 * 3→→100 = {3,3,3,3,193}
 * 3→→3→→3 = {3,3,3,3,3,3,3,3,…,3} ({3,3↑3↑3(1)2}) or 3→→→3
 * 3→→3→→3→→3→→3 = {3,3,3(3)3}
 * 3→→→327 ={3,1/3} (3&3&3)
 * 3→→→→3 = {3,1//3}
 * 3→103 = {3,1//////////3}
 * 3→3→→→33 = {3,1////////////……////////////////////3} with 3→→→3 /’s
 * 3→↑(3→↑27) = FOOT(27)
 * 3→↑(3→↑(3→↑3(3→↑3))))) = FOOT5(3)
 * 3→↑↑333 = FOOT333(27)