Ugh ok, whatever.
Look, i don't knwo what am doing. Shut.
Since you know ordinals have limits, well,
define {1} as omega.
{2} is the limit of {1}
likewise
{n} is the limit ordinal of {n-1}
then
{{1}} is the limit of all {n} ordinals for n< {1}
{{n}} is the limit of all {{n-1}} ordinals.
{n}(m) represents n within m {}s
{1}(n) is the limit of all {1}(n-1) ordinals for all n<{1}^(n-1)
{n}(m) is the limit of all {n-1}(m) ordinals.
Finally, the UltiOmegaggol is f_{{10^100}(10^100)}(10^100) in the fgh.
_ is subscript.