If $G ( x )$ Is the Generating Function For $a _ { 0 } , a _ { 1 } , a _ { 2 } , a _ { 3 } , \ldots$

Short Answer

If $G ( x )$ is the generating function for $a _ { 0 } , a _ { 1 } , a _ { 2 } , a _ { 3 } , \ldots$ describe in terms of $G ( x )$ the generating function for $a _ { 0 } , 0 , a _ { 1 } , 0 , a _ { 2 } , 0 , a _ { 3 } , 0 , a _ { 4 } , \ldots$