The temperature (6-350 K) and magnetic-field dependence (0-7.5 T) of the ph
ononic Raman spectra in the layered manganites, R1.2Sr1.8Mn2O7 (R = La,Nd),
reveal anomalous behaviors of the Mn and equatorial O-xy(Big) modes arisin
g from local octahedral distortions and coupling to the Mn3+ e(g) electrons
. These results provide the evidence for polaron formation and its interpla
y with electrical transport and magnetism in the layered manganites.