When someone accepts your invite on LinkedIn, it's always a good idea to thank them for connecting with you and express your enthusiasm to get to know them better. Here are a few examples of what you could say:

1. Thank you for connecting with me on LinkedIn! I'm excited to be a part of your professional network and look forward to learning more about your work and experiences.

2. It's great to see that we share similar interests and professional backgrounds. Thank you for accepting my invitation to connect on LinkedIn - I'm looking forward to staying in touch and potentially collaborating in the future.

3. I appreciate you taking the time to accept my invitation to connect on LinkedIn. Your expertise and experience in [industry/field] is impressive, and I'm excited to learn from you and potentially work together in the future.

It's important to keep your message professional and friendly, while also expressing your interest in building a relationship with the person. You could also consider asking them a question or sharing a relevant article or resource that relates to their work or interests. This can help kickstart a conversation and build a stronger connection.