TeX source:
H(p_1 , p_2 , \cdots, p_n ) = H(p_1 + p_2 , p_3 , \cdots , p_n ) + (p_1 + p_2 ) ยท H(\frac{p_1}{p_1 + p_2}, \frac{p_2}{p_1 + p_2})