Quin-Little

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Quin-Little is equal to <[<[<[<[<[5]>]>]>]>]> in brick notation. The term was coined by user MiTerSkyArk.

Analysis

<[<[<[<[<[5]>]>]>]>]> is equal to <[<[<[<[<5, 5, 5, 5, 5>]>]>]>]> or <[<[<[<[<<5, 5, 5, 5, 5>, <5, 5, 5, 5, 5>, <5, 5, 5, 5, 5>...<5, 5, 5, 5, 5>>]>]>]> with <5, 5, 5, 5, 5> entries of <5, 5, 5, 5, 5>, and so on. It's an array of arrays of arrays of arrays of arrays of 5.

Approximations

Notation	Approximation
Bowers' Exploding Array Function	{5,5,2,2}
Chained arrow notation	\(5 \rightarrow 5 \rightarrow 5 \rightarrow 3\)
Hyper-E notation	Unsolved
Hyperfactorial array notation	Unsolved
Fast-growing hierarchy	\(f_{\omega+2}(5)\)

Notes

Please add/expand the notation approximations.