  We present MAMBO 1.2mm observations of 40 extragalactic sources from the
Spitzer First Look Survey that are bright in the mid-infrared (S_24um>1mJy) but
optically obscured (log_10 (nu F_nu (24um))/(nu F_nu (0.7um))>1). We use these
observations to search for cold dust emission, probing the similarity of their
spectral energy distributions to star forming infrared galaxies or obscured
AGN. The sample as a whole is well detected at mean S_1.2mm=0.74+-0.09mJy and
S_1.2mm/S_24um=0.15+-0.03. Seven (three) of the sources are individually
detected at >3sigma (>5sigma) levels. Mean millimeter fluxes are higher for
sources with the reddest mid-infrared/optical colors. Optically faint but with
relatively low mm to mid-infrared ratio, the typical SEDs are inconsistent with
redshifted SED shapes of local star-forming infrared galaxies. They also differ
from SEDs of typical submillimeter selected galaxies, with the 24um sources
that are individually detected by MAMBO possibly representing intermediate
objects. Compared to star-forming galaxies, a stronger but optically obscured
mid-infrared component without associated strong far-infrared emission has to
be included. This component may be due to luminous optically obscured AGN,
which would represent a significant part of the high redshift AGN population.
