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Definitions of tetration:
  • noun:   (arithmetic) The arithmetic operator consisting of repeated exponentiation, by analogy with exponentiation being repeated multiplication and multiplication being repeated addition, ᵇa denoting a to the power of a to the power of ... to the power of a, in which a appears b times. Notation: ᵇa, a↑↑b or a→b→2

(Definitions from Wiktionary)

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