A025131 3rd elementary symmetric function of C(n,0), C(n,1), ..., C(n,n).
2, 24, 238, 2180, 19184, 164864, 1395230, 11683212, 97083652, 802098704, 6597442768, 54074559968, 441952039104, 3603658886144, 29327060440350, 238277193572828, 1933262776766876
Offset: 2