SOAN

Do I really need to say how WIP this is? Stands for Someuserthing's Ordinal Array Notation.

$$\dot{O}(\alpha) = \psi_{\chi_0(0)}(\chi_{\alpha}(\varepsilon_{\alpha+1}))$$using Rathjen's psi function

$$\dot{O}(1,0) = \dot{O}^\omega(\omega)$$

continue like the Veblen function...