  The differential cross-section for the inclusive production of psi(2S) mesons
in pp collisions at sqrt(s)=7 TeV has been measured with the LHCb detector. The
data sample corresponds to an integrated luminosity of 36 pb-1. The psi(2S)
mesons are reconstructed in the decay channels psi(2S) -> mu+ mu- and psi(2S)
-> J/psi pi+ pi-, with the J/psi meson decaying into two muons. Results are
presented both for promptly produced psi(2S) mesons and for those originating
from b-hadron decays. In the kinematic range pT(psi(2S)) <= 16 GeV/c and 2 <
y(psi(2S)) <= 4.5 we measure 1.44 +- 0.01 +- 0.12+0.2-0.4 mub for prompt
psi(2S) production and 0.25 +- 0.01 +- 0.02 mub for psi(2S) from b-hadron
decays, where the last uncertainty on the prompt cross-section is due to the
unknown psi(2S) polarization. Recent QCD calculations are found to be in good
agreement with our measurements. Combining the present result with the LHCb
J/psi measurements we determine the inclusive branching fraction B(b -> psi(2S)
X) = (2.73 +- 0.06 +- 0.16 +- 0.24) x 10^(-3), where the last uncertainty is
due to the B(b -> J/psi X), B(J/psi -> mu+ mu-) and B(psi(2S) -> e+ e-)
branching fraction uncertainties. All above results are corrected by an erratum
included as an appendix.
