Mixation is a binary function defined by IsTakenIsTaken using mixed arrow notation.[1] It is defined as a↑↓↑b, and has a growth rate between pentation and a↓↓↓b. It is equal to a↓↓↑b.

Examples

2↑↓↑3=2↑↓(2↑↓2)=2↑↓(2↑2)=2↑↓4=((2↑2)↑2)↑2=(4↑2)↑2=16↑2=256

2↑↓↑4=2↑↓256=2↑2↑255

3↑↓↑3=3↑↓(3↑↓3)=3↑↓((3↑3)↑3)=3↑↓(9↑3)=3↑↓729=3↑3↑728

a↑↓↑b=a↑a↑(a↑↓↑(b-1)-1)

References

  1. https://sites.google.com/view/wlargenumbers/mixed-arrow-notation Mixed Arrow Notation. Retrieved 1/19/2021 6:06 PM EST
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