  We discuss observations of the soft gamma repeater SGR 1806-20 during the
RXTE Target of Opportunity observations made in November 1996. During the ~50
ksec RXTE observation, HEXTE (15-250 keV) detected 17 bursts from the source,
with fluxes ranging from 3 x 10^{-9} to 2.2 x 10^{-7} ergs cm^{-2} s^{-1}
(20-100 keV). We obtained spectra for the brighter HEXTE by fitting thermal
bremsstrahlung and power law functions over the energy range 17 - 200 keV. The
best-fit temperatures and photon indices range from 30 - 55 keV and 2.2 - 2.7,
respectively. The weighted average temperature of the HEXTE bursts was 41.8 +/-
1.7 keV, which is consistent with previous SGR 1806-20 burst spectra. The
persistent emission from SGR 1806-20 was not detected with HEXTE.
