  No direct experimental constraints exist on Leptoquark (LQ) couplings with
quarks and right-handed neutrinos (RHNs). If a LQ dominantly couples to RHNs,
it can leave unique signatures at the LHC. The RHNs can be produced copiously
from LQ decays as long as they are lighter than the LQs. LQ-induced RHN
production has never been searched for in experiments. This channel can act as
a simultaneous probe for RHNs and LQs that dominantly couple to RHNs. In this
paper, we consider all possible charge-$2/3$ and $1/3$ scalar and vector LQs
that dominantly couple to second-generation quarks and RHN. We study the pair
and single productions of TeV-scale LQs and their subsequent decay to sub-TeV
RHNs, realised in the inverse seesaw framework. We also consider RHN pair
production through a $t$-channel LQ exchange. The single LQ production and
$t$-channel contributions can be significant for large LQ-RHN-quark couplings.
We systematically combine events from these processes leading to a pair of RHNs
plus jets to study the prospects of LQ-assisted RHN pair production. We analyse
the monolepton and opposite-sign dilepton final states and estimate the
discovery reach at the high-luminosity LHC.
