What if instead, we changed it to

T $(0)=$ a

T $(1)=$ b

T $($n$)=1$

n $($T $(0)+$ T $(1)+...+$ T $($n $1))$ for n $2.$

$(3)$

$5)$ Come up with a hypothesis for what T $($n$)$ equals for n $2($a non$-$recursive formula$)$ and prove your formula

is correct.