It has been said that the son who has been begotten by the Brahmana father upon the Shudra wife should not take any portion of the father's property, for he is not to be considered an heir. A little, however, of the paternal property should be given to the son of the Shudra wife, hence the one remaining share should be given to him out of compassion.
शूद्रायां ब्राह्मणाज्जातो नित्यादेयधनः स्मृतः। अल्पं चापि प्रदातव्यं शूद्रापुत्राय भारत॥