High-precision thermal conductivity measurements have been performed on a s
ingle crystal of La1.67Sr0.33NiO4 as well as on polycrystalline samples of
La2-xSrxNiO4 (x = 0.33,1) and Sr1.5La0.5MnO4. The charge/spin stripe order
in La1.67Sr0.33NiO4 and Sr1.5La0.5MnO4 leads to a straightforward interpret
ation of our results in terms of static and dynamic stripe correlations. Po
larons may play a major role in the metallic compound of LaSrNiO4. These re
sults corroborate a recent thermal conductivity study of rare earth doped L
a2-xSrxCuO4 which reveals the possible importance of dynamic stripe correla
tions on cuprate superconductivity.