Billionaire Elon Musk’s decision to remain off Twitter’s board could mean that he intends to buy more company stock and exercise more, not less, influence over the social media giant.

Musk, who founded Tesla and is the wealthiest person in the world, surprised many when he suddenly became Twitter’s largest shareholder after buying 9.2% of the company. He surprised again by turning down a seat on the company’s board of directors, news of which fueled speculation about the billionaire’s next moves after it was announced Sunday night.