a1×Cn0+a2×Cn1……+a(n+1)×Cnn=(2^0+1)*C(n,0)+(2^1+1)C(n,1)+(2^2+1)C(n,2)+.......+(2^n +1)*C(n,n)=[2^0*C(n,0)+2^1*C(n,1)+2^2*C(n,2)+.......+2^n *C(n,n)]+[C(n,0)+C(n,1)+C(n,2)+.......+C(n,n)]=(1+2)^n+2^n=3^n+2^n
