tetrationlike
Tetrationlike is an informal term used in mathematics to describe objects, sequences, or functions that resemble tetration in either construction or growth. Tetration itself is iterated exponentiation, typically written as a ↑↑ n, representing a power tower of height n with a fixed base. Tetrationlike extends this idea to variants where the exponentiation is arranged in a tower but may involve changes such as varying bases at different levels, non-integer heights, or exponents defined by a rule rather than a single constant base.
In a basic tetrationlike sequence, one may define c1 as an initial value and set c_{n+1} = base_n^{c_n},
Growth behavior: Tetrationlike objects typically exhibit extremely rapid growth with height, often outpacing simple exponentials or
Examples: The classical tetration sequence with base 2 is a1 = 2, a_{n+1} = 2^{a_n}, yielding 2, 4,
See also: Tetration, power tower, hyperoperation, iterated exponentiation.