I was looking a bit around, and was interested in the konstant $\Omega$. It is defined as number satisfying the equation $$ x e^x = 1 $$ Now, Wikipedia, gives an reccurence relation for the constant as
$$ \Omega_{n+1} = \frac{1 + \Omega_n}{1 + \exp(\Omega_n)} $$
My question is, can this recurrence relation be rewritten as a sum ?