  The triply heavy baryons in the standard model formed in direct $c$ and $b$
quark fragmentation are the $\Omega_{ccc}$, $\Omega_{ccb}$, $\Omega_{cbb}$ and
$\Omega_{bbb}$ baryons. We calculate their fragmentation functions in leading
order of perturbative QCD. The universal fragmentation probabilities fall
within the range of $10^{-5}-10^{-7}$.We also evaluate their cross section at
the LHC ($\sqrt{s}=14$ TeV) using next-to-leading order matrix elements for
heavy quark-antiquark pair production. We present the differential cross
sections as functions of the transverse momentum as well as the total cross
sections. They range from a few nb to a few pb.
