In Sweden, bike lanes are intended for bicycles and other non-motorized vehicles. Motorbikes are considered motor vehicles and are typically required to follow the rules and regulations for motorized traffic. They are generally expected to use the regular lanes designated for motor vehicles and adhere to the same traffic laws as cars and motorcycles.
It's worth noting that some cities or specific areas might have exceptions or specific regulations that allow certain motorized vehicles, such as delivery scooters or mopeds, to use bike lanes under certain conditions. To get the most accurate and up-to-date information about the specific regulations in Stockholm, it would be advisable to consult the Swedish Transport Agency or local traffic authorities for the latest traffic laws and regulations pertaining to motorbike use on bike lanes in the city.