What does Darnay do as he prepares for his execution? Of whom does he not think? (From Book 3 Chapters 11-15)

He writes a letter to Lucie apologizing for keeping his French identity secret from her and explaining that he did not know of his family's connection to Doctor Manette's imprisonment until the document was read out. He also writes letters to Doctor Manette and Mr. Lorry, but not to Carton.