What is the ruling regarding a husband divorcing his wife with the explicit utterance "You are divorced, divorced" twice after a problem between them, then discovering that she is pregnant in the first or second week, knowing that he did not intend to divorce her, and that there is a previous expiation for an oath that he has not paid?

If a husband utters an explicit divorce, his divorce takes effect even if he is joking or playing, and this does not require an intention. Therefore, your divorce has taken effect on your wife as a single divorce, as long as you did not intend more than that. If this divorce does not complete the three divorces, then you may reconcile with your wife before her 'iddah (waiting period) ends with the delivery of her child. The expiation for an oath has no relation to divorce, and you must hasten to fulfill the expiation.