  We report the characterization of the misfit compound
(Pb1-xSnxSe2)1.16(TiSe2)2, in which a [100] rocksalt bilayer of Pb1-xSnxSe,
which is a topological crystalline insulator in bulk form, alternates with a
double layer of the normally non-superconducting layered transition metal
dichalcogenide TiSe2. The x dependence of Tc displays a weak dome-like shape
with a maximum Tc of 4.5 K at x = 0.2; there is only a subtle change in Tc
corresponding to the expected trivial to topological transition in the
Pb1-xSnxSe bi-layer. We present a more detailed characterization of the
superconductor at x = 0.4, for which the bulk Pb1-xSnxSe phase is in the
topological crystalline insulator regime. For this material, the Sommerfeld
parameter gamma =11.06 mJ mol-1 K-2, the Debye temperature delta D = 161 K, the
normalized specific heat jump value delta C/ gamma Tc = 1.38 and the
electron-phonon constant value lambda ep = 0.72, suggesting that
(Pb0.6Sn0.4Se)1.16(TiSe2)2 is a BCS-type weak coupling superconductor. This
material is of interest for probing the interaction of superconductivity with
the surface states of a topological crystalline insulator.
