Pre-heat oven to 180C/160C Fan/Gas 4. Add butter and oil to baking tray and heat until foaming. Meanwhile, rinse and scrub artichokes to remove any dirt. Halve the small ones and quarter the bigger ones, coat everything with 2tbsp oil and season generously.
Carefully remove the pre-heated baking tray and add the artichoke, along with the thyme and rosemary. Roast for 40 to 45 minutes until soft inside and crispy outside.
With 10 minutes remaining, pre-heat grill to 200C and grill your asparagus until the skin starts to blister, around 10 minutes, rotating halfway through. On a separate tray add your pumpkin seeds and roast in the oven.
To serve, place artichokes in a large bowl, evenly distribute asparagus, sprinkle pumpkin seeds and crumble blue cheese over to finish.