JTable: Select next cell on Tab, but first focus selects same cell, not next one
add_button.addActionListener(new java.awt.event.ActionListener() {
    @Override
    public void actionPerformed(java.awt.event.ActionEvent evt) {
        int row = table_model.addRow();
        table.setRowSelectionInterval(row, row);
        table.scrollRectToVisible(table.getCellRect(row, 0, true));
        table.editCellAt(row, 0);
        table.transferFocus();
        did_add = true;
    }
});

table.getInputMap(JComponent.WHEN_ANCESTOR_OF_FOCUSED_COMPONENT).put(KeyStroke.getKeyStroke(KeyEvent.VK_TAB, 0, false), "selectNextColumnCell");

table.setRowSelectionInterval(row, row);
   table.setColumnSelectionInterval(0, 0);