Sitric's son, Amlaíb Cuarán, aka Óláf Sigtryggsson later succeeded him both as king of Dublin and of York and married the infamous Gormflaith, who was later married to Brian Boru, High King of Ireland.
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They fought a battle against Niall Glúndub in which the Irish were routed, and according to the annals Sitric then "entered Áth Cliath", i.e. Dublin, which we must assume means that he took possession of it.