Find an (approximate) closedform solution for $S(m, b)$.
$$S(m,b)=\sum_{i=0}^{\lfloor (e1)/2\rfloor}{e \choose i}S(m1, bi) \quad + \sum_{i=\lfloor (e1)/2\rfloor+1}^{\min(b,e)}{e\choose i}{(m1)e\choose bi}$$
Find an (approximate) closedform solution for $S(m, b)$. $$S(m,b)=\sum_{i=0}^{\lfloor (e1)/2\rfloor}{e \choose i}S(m1, bi) \quad + \sum_{i=\lfloor (e1)/2\rfloor+1}^{\min(b,e)}{e\choose i}{(m1)e\choose bi}$$ 

