-ag

The -ag notation is a generalized form of the gag and mag functions. Joyce noted that, using Joyce's More Generalized Exponential Notation, $$\mathrm{gag}(n) = g(n + 1,n,2)$$ and $$\mathrm{mag}(n) = g(n,n + 1,n,2)$$. He extrapolated this to $$\mathrm{bag}(n) = g(2,n,n + 1,n,2)$$, $$\mathrm{trag}(n) = g(3,n,n + 1,n,2)$$, $$\mathrm{quadrag}(n) = g(4,n,n + 1,n,2)$$, etc., in accordance to the -illion series.