Midrasz do Samuela II 12:13

That is what is written: “Your sons will be in the stead of your fathers” (Psalms 45:17). You find a righteous person begetting a righteous person, a wicked person begetting a wicked person, a righteous person begetting a wicked person, and a wicked person begetting a righteous person. Each of them has [an allusion in] the Bible, has [an allusion in a popular] proverb, and has [an allusion in] common parlance. A righteous person begetting a righteous person has [an allusion in] the Bible and has [an allusion in] a proverb. The Bible, as it is written: “Your sons will be in the stead of your fathers.” It has a proverb: A scion¹¹The scion (a shoot or twig of a plant used to form a graft) of a fig tree. that established a fig tree. A wicked person begetting a wicked person has [an allusion in] the Bible, has [an allusion in] a proverb, and has [an allusion in] common parlance. The Bible, as it is written: “Behold, you have risen in the stead of your fathers, [a brood of sinful men]” (Numbers 32:14). A proverb, [as it is written]: “as the ancient proverb says: From the wicked, wickedness will emerge” (I Samuel 24:14). [In] common parlance, from where? What does the beetle bear? Ticks that are worse than it. A righteous person begetting a wicked person has [an allusion in] the Bible: “Thistles will emerge in the stead of wheat” (Job 31:40). A proverb, [as it is written]: They¹²Partridges. beget fledglings that are not like them; they raise those that are not similar to them. A wicked person begetting a righteous person has [an allusion in] the Bible: “In the stead of a brier, a cypress will rise” (Isaiah 55:13). [And] a proverb: From the thorn, a rose will emerge.
But Solomon was a king, son of a king; a wise man, son of a wise man; a righteous man, son of a righteous man; a nobleman, son of a nobleman. You find that everything that is written regarding this one is written regarding that one. David reigned forty years, and that one [Solomon] reigned forty years. David reigned over Israel and Judah, and his son reigned over Israel and Judah. His father [David] built the foundations [of the Temple] and he [Solomon] built the superstructure. His father reigned from one end of the earth to [the other] end, and that one reigned from one end of the earth to [the other] end. David wrote books and Solomon wrote books. David recited songs and Solomon recited songs. David said vanities and Solomon said vanities.¹³They instructed the people not to chase after temporal pleasures, which are mere vanities (Midrash HaMevoar). David said words and Solomon said words.¹⁴They spoke words of wisdom inspired by the Divine Spirit. David stated proverbs and Solomon stated proverbs. David lauded with “then” and Solomon lauded with “then.” David built an altar and Solomon built an altar. David sacrificed an offering and Solomon sacrificed an offering. David took up the Ark and Solomon took up the Ark.
David reigned forty years, as it is stated: “The days that David reigned over Israel were forty years” (I Kings 2:11). Solomon reigned forty years, as it is stated: “Solomon reigned in Jerusalem, over all Israel, for forty years” (II Chronicles 9:30). David reigned over Israel and Judah, as it is stated: “The Lord, God of Israel, chose me from all the house of my father [to be king over Israel forever, for He has chosen Judah]” (I Chronicles 28:4). Solomon reigned over Israel and Judah, as it is stated: “Judah and Israel were numerous...” (I Kings 4:20).¹⁵The passage is discussing the reign of Solomon, and begins: “Solomon was king over all Israel” (I Kings 4:1). Thus, the verse cited in the midrash specifically mentions Israel and Judah because he was king over both. David built the foundations [of the Temple], as it is stated: “King David rose on his feet [and said: …it was in my heart to build a resting place for the Ark of the Covenant of the Lord, and for the footstool of our God, and I prepared to build]” (I Chronicles 28:2). Solomon built the superstructure, as it is stated: “I have built an abode for You” (I Kings 8:13). David said words, as it is stated: “These are David’s last words” (II Samuel 23:1). Solomon said words, as it is stated: “The words of Kohelet ben David, king in Jerusalem” (Ecclesiastes 1:1). David said vanities, as it is stated: “Indeed, everyone is vanity, every standing man, Selah” (Psalms 39:6). Solomon said vanities, as it is stated: “Vanity of vanities, said Kohelet; vanity of vanities, everything is vanity” (Ecclesiastes 1:2). David stated proverbs, as it is stated: “As the ancient proverb says: From the wicked, wickedness will emerge” (I Samuel 24:14). Solomon stated proverbs, as it is stated: “The proverbs of Solomon son of David” (Proverbs 1:1). David wrote books, as Psalms is attributed to him. Solomon wrote books: Proverbs, Ecclesiastes, and Song of Songs. David lauded with “then,” as it is stated: “Then our mouths will be filled with laughter, and our tongues with song. Then the nations will say…” (Psalms 126:2). Solomon lauded with “then,” as it is stated: “Then Solomon said: The Lord said…” (I Kings 8:12). David took up the Ark, as it is stated: “David, and the elders of Israel […were walking to take up the Ark of the Covenant of the Lord]” (I Chronicles 15:25). Solomon took up the Ark, as it is stated: “Then Solomon assembled the elders of Israel… [to take up the Ark of the Covenant…]” (I Kings 8:1). David recited songs, as it is stated: “David spoke to the Lord the words of this song…” (II Samuel 22:1). Solomon recited songs, as it is stated: “The Song of Songs that is Solomon’s.”
Rabbi Simon said in the name of Rabbi Yonatan of Bet Guvrin in the name of Rabbi Yehoshua ben Levi: Since you equate them, equate them regarding all aspects. Just as his [Solomon’s] father was forgiven for all his iniquities, as it is stated: “The Lord has also put away your sin; you shall not die” (II Samuel 12:13), so, too, in his regard. Moreover, the Divine Presence rested upon him and he composed three books: Proverbs, Ecclesiastes, and Song of Songs.

[(Exod. 30:12): WHEN YOU TAKE <A CENSUS>.] This text is related to Ps. 3:3 [2]): MANY SAY TO MY SOUL….. This refers to David, when that deed (of II Sam. 11) took place at his hand.¹¹Tanh., Exod. 9:4; PRK 2:1; PR 10:10; M. Pss. 3:5/6. They said: What person is there who has carried off the ewe lamb, killed the shepherd, and made Israel fall by the sword?¹²The ewe lamb was Bathsheba, and the shepherd was Uriah the Hittite. Is there salvation for him? (Ibid., cont.:) THERE IS NO SALVATION FOR HIM THROUGH HIS GOD. David said (in vs. 3 [2]): AND YOU, O LORD, have concurred with them and have written in the Torah (at Lev. 20:10): THE ADULTERER AND THE ADULTERESS SHALL SURELY BE PUT TO DEATH. Still (according to Ps. 3:4 [3]) <YOU, O LORD, ARE> A SHIELD ABOUT ME. You <are the one> who shielded me through the merit of my ancestors, <the one> who restored me to the kingship, AND (ibid. cont.:) THE ONE WHO RAISES UP MY HEAD. Instead of that which I owed you, < namely > the lifting off of the head, you gave me an uplifted head at the hands of the prophet Nathan, [who said to me] (in II Sam. 12:13): THE LORD HAS ALSO REMITTED YOUR SIN; YOU SHALL NOT DIE.

Then David cried out: But Thou, O Lord, as if to say, O You who art Master of the world, Your law agrees with them, for You said: The adulterer and the adulteress shall surely be put to death (Lev. 20:10). But art a shield about me refers to the merit of my ancestors. My glory indicates that you have restored me to kingship; and Lifter up of my head implies that though I was guilty of murder, You permitted me to lift up the head; that is, to be forgiven through Nathan the prophet, for he said: The Lord also has put away thy sin; thou shalt not die (II Sam. 12:13).⁹A reference to David’s arranging the death of Uriah, the husband of Bath-sheba.

... Another explanation: “O poor tempestuous one, who was not consoled…” (Isaiah 54:11) R’ Levi said any where that it says she does not have, she has. It is written “…that is Zion whom no one seeks out.” (Jeremiah 30:17) She has, as it is written “And a redeemer shall come to Zion…” (Isaiah 59:20) “And Sarai was barren; she had no child,” (Genesis 11:30) and she had, “And Sarah conceived and bore a son to Avraham…” (Genesis 21:2) And so too “…and Peninnah had children, but Hannah had no children,” (Shmuel I 1:2) and she had, “…and she conceived and bore three sons…” (Shmuel I 2:21) And so too, “Sing you barren woman who has not borne; burst out into song and jubilate, you who have not experienced birth pangs…” (Isaiah 54:1) and she had, as it says “And you shall say to yourself, "Who begot these for me…” (Isaiah 49:21)