K.S.A. 59-506

If the decedent leaves a child, or children, or issue of a previously deceased child or children, and no spouse, all his or her property shall pass to the surviving child, or in equal shares to the surviving children and the living issue, if any, of a previously deceased child, but such issue shall collectively take only the share their parent would have taken had such parent been living. If the decedent leaves such child, children, or issue, and a spouse, one-half of such property shall pass to such child, children, and issue as aforesaid.