Eystein, we are told, was succeeded by his son Halfdan the Generous and the Stingy of Food. Halfdan gained this title by paying his men generously in coin but poorly in food. He died of a malady, was duly buried in a mound beside his father Eystein, and was succeeded by his son Gudrod. Gudrod is considered to be a historical personage, although the tales that are told about him are no doubt at least partly legendary.
[Royal Families of Medieval Scandinavia, Flander & Kiev]
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Note: Turton, I think in error, has Halfdan as son of "Sveide, a Norse King, d. c 780".