And after they were brought to Babylon, Jechonias begat Salathiel; and Salathiel begat Zorobabel;
And after they were brought to ('after the migration of') Babylon, Jechonias begat Salathiel. So 1 Chronicles 3:17. Nor does this contradict Jeremiah 22:30, "Thus saith the Lord, Write ye this man (Coniah, or Jechoniah) childless;" for what follows explains in what sense this was meant - "for no man of his seed shall prosper, sitting upon the throne of David." He was to have seed, but no reigning child.
And Salathiel (or Shealtiel) begat Zorobabel. So Ezra 3:2; Nehemiah 12:1; Haggai 1:1. But it would appear from 1 Chronicles 3:19 that Zerubbabel was Salathiel's grandson, being the son of Pedaiah, whose name, for some reason unknown, is omitted.