  Within the framework of the type-II Two Higgs Doublet Model (2HDM-II) we
study the production of three top quarks at the Large Hadron Collider (LHC). In
the Standard Model the production cross section of three tops is low ($\approx
3$fb), while it is expected to be significant in the 2HDM-II for reasonable
choices of the parameters. We study the production of a charged Higgs in
association with a top quark, followed by the decays $H^{\pm} \to W^{\pm}A$ and
$A \to t\bar{t}$. We undertake a full detector simulation of the signal, and
use simple conservative cuts, focusing on the final states that contain three
or more leptons, and exactly one same sign di-lepton pair. Finally, we present
the exclusion bounds dependent on charged Higgs and pseudoscalar Higgs masses
expected in the near future at the 14TeV LHC.
