Accoding to the below bulletin, OSPF (for Routed Access) is supported from 12.2(55)SE on ipbase (like yours) feature train. Exemple of image => c3750-ipbasek9-mz.122-55.SE6.bin (.tar for archive versions).
OSPF for Routed Access: Starting from Cisco IOS Release 12.2(55)SE, the IP Base image supports a new feature called OSPF for Routed Access.
OSPF for Routed Access is designed specifically to enable you to extend Layer 3 routing capabilities to the wiring closet. It supports only one OSPFv2 and one OSPFv3 instance, with a maximum number of 200 dynamically learned routes.
If you do not want to be limited by the "OSPF for routed access" limitation you can plan a feature set upgrade from IP BASE to IP Services which supports OSPF without restriction even in pre-12.2(55)SE versions..
The IP Services image is required if one needs multiple OSPFv2 and OSPFv3 instances without route restrictions.
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