How much should I save for diapers and wipes for first year

My baby is due in Late July and I will be a stay at home mom. My fiancé and I have agreed that he will take care of everything besides diapers/wipes and little things here and there. I’m trying to stockpile and be prepared as possible. I pan on buying a case of diaper and wipes every week till I deliver (about 35 weeks). How much realistically should I save to cover these expenses?