What transition of Li²⁺ can emit a photon with same wave number as n = 2 to n =1 transition of hydrogen atom

n = 2 to n= 1 in H-atom,  $\overline{\mathrm{v}}={\mathrm{R}}_{\mathrm{H}}{\mathrm{Z}}^2\left(\frac{1}{1^2}-\frac{1}{2^2}\right)$

for Li⁺² , $\overline{ \mathrm{v}}={\mathrm{R}}_{\mathrm{H}}{3}^2\left(\frac{1}{{\mathrm{n}}_1^2}-\frac{1}{{\mathrm{n}}_2^2}\right)$

Given

 ${\mathrm{R}}_{\mathrm{H}}\left(\frac{1}{1}-\frac{1}{4}\right)=9{\mathrm{R}}_{\mathrm{H}}\left(\frac{1}{{\mathrm{n}}_1^2}-\frac{1}{{\mathrm{n}}_2^2}\right)$

$\frac{1}{9}-\frac{1}{36}=\frac{1}{{\mathrm{n}}_1^2}-\frac{1}{{\mathrm{n}}_2^2}$

$\therefore {\mathrm{n}}_1=3\text{ and }{\mathrm{n}}_2=6$

will be the electronic transition in Li⁺²