The coefficient of `x^(2)` in `(1+x)(1+2x)(1+4x)...(1+2^(n)x)`

The coefficient of x^(2) in (1)/((1-2x)(1-3x)) is

The coefficient of x^(n) in ((1+x)^(2))/((1-x)^(3)) is

Find the coefficient of x^(k) in 1+(1+x)+(1+x)^(2)+...+(1+x)^(n)(0<=k<=n)

The coefficient of x^(4) in ((1+x)/(1-x))^(2),|x|<1, is

Find the coefficient of x^(n) in (1+(x)/(1!)+(x^(2))/(2!)+...+(x^(n))/(n!))^(2)

Find the coefficient of x^(k)in 1+(1+x)+(1+x)^(2)+...+(1+x)^(n)(0<=k<=n)

The coefficient of x^(2012) in (1_x)/((1+x^(2))(1-x)) is -

The coefficient of x^(n) in (1-(x)/(1!)+(x^(2))/(2!)-(x^(3))/(3!)+...+((-1)^(n)x^(n))/(n!))^(2) is equal to

coefficient of x^(10) in (1+2x^(4))(1-x)^(8) is: