The first measurement of heavy-flavour production by the LHCb experiment in its fixed-target mode is presented. The production of and mesons is studied with beams of protons of different energies colliding with gaseous targets of helium and argon with nucleon-nucleon centre-of-mass energies of and , respectively. The and (including charge conjugate) production cross sections in collisions in the rapidity range are found to be $\sigma_{J/\psi} = 652 \pm 33\pm 42/\sigma_{D^0} = 80.8 \pm 2.4\pm 6.3\mu/$nucleon, where the first uncertainty is statistical and the second is systematic. No evidence for a substantial intrinsic charm content of the nucleon is observed in the large Bjorken- region.

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