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The tridecatrax is equal to $$\{10,3,1,2\}\ \&\ 10$$ using the array of operator and BEAF.[1] The term was coined by Cookie Fonster. Since BEAF has not been formalised by Bowers at this level, this number is currently ill-defined.

## Approximations

Since it is not defined by now, the following approximation is just an expected value.

Notation Approximation
Fast-growing hierarchy $$f_{\varphi(\varphi(8,0,0),0,0)}(100)$$
Hardy hierarchy $$H_{\varphi(\varphi(8,0,0),0,0)}(100)$$

## Sources

1. Pointless Gigantic List of Numbers - Part 4: The Higher RoyalsPointless Large Number Stuff. Archived from the original on 2014-08-25. Retrieved 2017-05-23.