This is just one way to remove a row from a table wrapped with dataTable jquery plugin, wich is a litle bit rare because to do that we can't just remove the element from the Dom...we have also to remove it from the dataTable plugin to refresh the counters and the text around the table :)

remove_from_datatable.js

var oTable = $("#whatever").dataTable({
  // ....options here
});

// then we can do...

$(this).parents("TR").fadeOut("slow", function () {
  var pos = oTable.fnGetPosition(this);
  oTable.fnDeleteRow(pos);
});