1.
The coefficient of x3x^{3} in 301[(1+x)500+x(1+x)499+x2(1+x)498++x500]301 \cdot \left[(1+x)^{500} + x(1+x)^{499} + x^{2}(1+x)^{498} + \cdots + x^{500}\right] is: