product of numbers raised to binomial coefficients I want to find a closed form expression for $\prod_{i = 1}^{n} i^{\binom{n}{i}}$. If a closed form expression is not available, can a recursive relation be formed? Please help.
Regards,
Akhil.

This is  OEIS sequence A229333. 
More generally, if $$A(n,m) = \prod_{i=m}^{n} i^{n\choose {i-m}}$$
so that your expression is $A(n,0)$, we have $$A(n+1,m) = (n+1)^{{n+1}\choose m} A(n,m) A(n,m+1)$$
with $A(n,n) = n$
