Drawing the lines of hydrogen

Rydberg's formula gives every line of hydrogen. You will write it, list the first lines of a series, and pick out the Balmer lines that the eye can see. Then the program draws them.

The idea. $\dfrac{1}{\lambda} = R_H\left(\dfrac{1}{n_1^2} - \dfrac{1}{n_2^2}\right)$, with $R_H = 1.097 \times 10^{7}\ \text{m}^{-1}$. Visible light runs from $400$ to $700\ \text{nm}$.

Your tasks.

1. In wavelength, return the wavelength in nm.
2. In series, return the first count wavelengths that end on n1.
3. Fill visible with the Balmer lines, from $n_2 = 3$ to $10$, that lie between $400$ and $700\ \text{nm}$.