How to push data into Data Table via API?


Hello, Is there an API to push data into Data Table in Smartsheet? We have a client using Smartsheet and we are able to push data into sheets using the SDK. However we have been asked to feed them into Data Table directly. I can't see anything in the API documentation related to Data Tables. Is it even possible? I read about the Data Shuttle but it looks like it only pulls data from other supported DAM solutions.