closed-form expression for InverseErf[1/2] = A069286 ?

[Eric W. Weisstein]

I'm interested in attempting to find a closed form for InverseErf[1/2]
i.e., http://www.research.att.com/projects/OEIS?Anum=A069286 (although
there are some arguments that this shouldn't be possible). To this end,
does anyone have any ideas for writing
http://www.research.att.com/projects/OEIS?Anum=A002067 in closed form?  
There's an E.g.f. in the entry, but no closed-form formula.

Thanks,
-Eric