User blog comment:! cook the lettuce/Despacit's Number Competition/@comment-38877333-20191208011846/@comment-24923514-20191208220937

[a] ~ f_2(a)

If [#,a] ~ f_(alpha)(a), then [#,a,a] = [#,[#,...[a]...]] ~ f_(alpha)^a(f_2(a)) ~ f_(alpha+1)(a)

(I.e. adding an entry increases the FGH ordinal by one)

I'll represent omega as w

[+,a] ~ f_w(a)

[+,a,a,...,a] (with n+1 a's) ~ f_(w+n)(a)

[+,+,a] ~ f_(w*2)(a)

[+,+,...,+,a] (with n pluses) ~ f_(w*n)(a)

[++,a] ~ f_(w^2)(a)

[++...+,a] (with n pluses) ~ f_(w^n)(a)

Your number ~ f_(w^10)(100)