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There is a thread about the retrofitted and expected deliveries called FlyerTalk Forums Thread Wiki: SAS Longhaul Fleet List – Upgrade Thread

It has a wiki that is updated with the latest information.

You'll find that OY-KBM is an A340 configured like a A330, and is now third in line for refurbishing.

Having said that, I was supposed to be on LN-RKN cph-ewr, and the seat maps changed a week before the flight. These times you never know which bird you're going to end up with.