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For the 15 lanthanide atoms
57
La through
71
Lu, we report Sapporo-DK-
n
ZP sets (
n
= D, T, Q), which are natural extensions of the Sapporo-(DK)-
n
ZP sets for lighter atoms and efficiently incorporate the correlation among electrons in the N through P shells as well as the relativistic effect. The present sets well describe the correlation among the 4s and 4p electrons, which are important in the excitation of 4f electrons. Atomic test calculations of
57
La,
58
Ce,
59
Pr, and
60
Nd at configuration interaction with the Davidson correction level of theory confirm high performance of the present basis sets. Molecular test calculations are carried out for
57
LaF and
70
YbF diatomics at the coupled-cluster level of theory. The calculated spectroscopic constants approach smoothly to the experimental values as the quality of the basis set increases.