How often should a girl initiate texting?

This guy has texted me first about 10 times in the past few weeks. I've only initiated once, I want to look interested without looking clingy. (I know I should initiate more) He texted me last Friday, I texted him Monday, he texted me Thursday. It's Sunday, should I text him first? Maybe wait until Monday to see if he'll initiate? I want to text him first, but I did pretty recently.

He does know I like him and he told me that he likes me. We went out a couple times already. I just want him to know I'm still interested, but not clingy.