Smallest number to appear n times in Pascal's triangle

[Hugo Pfoertner]

Alonso Del Arte wrote:
> 
> I'm sure the OEIS already has this sequence, Smallest number to appear
> n times in Pascal's triangle, but I'm having trouble finding it. I'm
> fairly certain it goes something like 2, 3, 6, 10, ?, 120, and
> a(infinity) = 1, but "2, 3, 6, 10" draws too many results, "Smallest
> number to appear n times in Pascal's triangle" gives "wrong format"
> error message, and "Smallest number to appear times in Pascals
> triangle" gives no results.
> 
> Could someone tell me what the fifth term is? Or if I am mistaken with
> one of the other terms?
> 
> Alonso

2,3,6,10,120,120,3003,3003

See http://www.research.att.com/projects/OEIS?Anum=A062527
and also
http://www.research.att.com/projects/OEIS?Anum=A090162

Hugo Pfoertner