There is no direct connection from Tahlequah to Tulsa. However, you can take the taxi to Muskogee, OK then take the bus to Tulsa, OK. Alternatively, you can drive from Tahlequah to Tulsa in around 1 h 17 min.
From Tahlequah taxi to Muskogee, OK then bus to Tulsa, OK. 1 h 35 min $100. From Tahlequah drive to Tulsa. 1 h 17 min $8.