  We present the $ugriz$-band Dark Energy Camera (DECam) plus 3.6 and 4.5
$\mu$m IRAC catalogs for the Spitzer/HETDEX Exploratory Large-Area (SHELA)
survey. SHELA covers $\sim24$ deg$^{2}$ of the Sloan Digital Sky Survey (SDSS)
Stripe 82 region, with seven bandpasses spanning a wavelength range of 0.35 to
4.5 $\mu$m. SHELA falls within the footprint of the Hobby-Eberly Telescope Dark
Energy Experiment (HETDEX), which will provide spectroscopic redshifts for
$\sim200{,}000$ Ly$\alpha$ emitters at $1.9<z<3.5$ and also for $\sim200{,}000$
[OII] emitters at $z<0.5$. SHELA's deep, wide-area multiwavelength images
combined with HETDEX's spectroscopic information, will facilitate many
extragalactic studies, including measuring the evolution of galaxy stellar
mass, halo mass, and environment from $1.5<z<3.5$. Here we present $riz$-band
selected $ugriz$-band DECam catalogs that reach a $5\sigma$ depth of $\sim24.5$
AB mag (for point sources with an aperture that encloses $70\%$ of the total
flux) and cover $17.5$ deg$^{2}$ of the overall SHELA field. We validate our
DECam catalog by comparison to the DECam Legacy Survey (DECaLS) DR5 and the
Dark Energy Survey (DES) DR1. We perform IRAC forced photometry with The
Tractor image modeling code to measure 3.6 and 4.5 $\mu$m fluxes for all
objects within our DECam catalog. We demonstrate the utility of our catalog by
computing galaxy number counts and estimating photometric redshifts. Our
photometric redshifts recover the available $\left\langle z \right\rangle =
0.33 $ SDSS spectroscopic redshifts with a $1\sigma$ scatter in $\Delta z/(1
+z)$ of 0.04.
