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Never gonna let you down is equal to \(\{420,420[69]1[69]1[69]2\}\) in Bird's array notation.[1] It's the 53rd number in Meet yourself in 105 degrees Celsius. The term was coined by googology user HaydenTheGoogologist2009.

Approximations[]

Notation Approximation
Bowers' Exploding Array Function \(\{420,420(68)(68)(68)2\}\) (exact)
DeepLineMadom's Array Notation \(420[1\{69\}1\{69\}1\{69\}2]69\)
Cascading-E notation \(\text{E}[420]420\#\text{^}\#\text{^}(68)\text{*}\#\text{^}\#\text{^}(68)\text{*}\#\text{^}\#\text{^}(68)420\)
Hyperfactorial array notation \(420![1,[1,3,6],1,2]\)
Strong array notation \(\text{s}(420,420\{69\}1\{69\}1\{69\}2)\)
X-Sequence Hyper-Exponential Notation \(420\{X^{X^{68} \times3}\}420\)
Fast-growing hierarchy \(f_{\omega^{\omega^{68}3}}(420)\)
Hardy hierarchy \(H_{\omega^{\omega^{\omega^{68}3}}}(69)\)
Slow-growing hierarchy \(g_{\psi_0(\Omega^{\Omega^{\Omega^{67}\omega3}})}(200)\)

Sources[]

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