If ` e^(e^(x)) = a_(0) +a_(1)x +a_(2)x^(2)+...` ,then find the value of a_ (0)

If (1+x+2x^(2))^(20) = a_(0) + a_(1)x^(2) "……" + a_(40)x^(40) , then find the value of a_(0) + a_(1) + a_(2) + "……" + a_(38) .

If (1-x)^(-n)=a_(0)+a_(1)x+a_(2)x^(2)+a_(3)x^(3)+... find the value of,a_(0)+a_(1)+a_(2)+......+a_(n)

Given that (1+x+x^(2))^(n)=a_(0)+a_(1)x+a_(2)x^(2)+......+a_(2n)x^(2n) , find the values of a_(0)^(2)-a_(1)^(2)+a_(2)^(2)-a_(3)^(2)+....+a_(2n)^(2)

If (1+x+x^(2))^(n) = a_(0)+a_(1) x+a_(2) x^(2)+.. .+a_(2 n) x^(2 n) then the value of a_(0)+a_(3)+a_(6)+.. . . is

Given that (1+x+x^(2))^(n)=a_(0)+a_(1)x+a_(2)x^(2)+......+a_(2n)x^(2n) , find the values of a_(0)-a_(1)+a_(2)-a_(3)......+a_(2n) ,

If (1 + x + x^(2))^(48) = a_(0) + a_(1) x + a_(2) x^(2) + ... + a_(96) x^(96) , then value of a_(0) - a_(2) + a_(4) - a_(6) + … + a_(96) is

If (1+x+x^(2))^(n) = a_(0)+a_(1) x+a_(2) x^(2)+..+a_(2 n) x^(2 n) then the value of a_(1)+a_(4)+a_(7)+.. . . is

If (1-x+x^(2))^(n)=a_(0)+a_(1)x+a_(2)x^(2)++a_(2n)x^(2n) find the value of a_(0)+a_(2)+a_(4)++a_(2n)

If (1+x-2x^(2))^(6) = 1 + a_(1)x+a_(2)x^(2) + "……" + a_(12)x^(12) , then find the value of a_(2) + a_(4) +a_(6)+ "……" + a_(12) .