Resonance energies E_n of the |$4s^24p^{ 5}({\rm ^2P^o}_{1/2}) \ ns\,\,{\rm ^1P^o_1}$| Rydberg series from the present 456-level darc calculations, converging to the Rb|$^{2+}(3d^{10}4s^24p^5\,\,\rm ^2P^o_{1/2})$| threshold, originating from the Rb⁺(3d¹⁰4s²4p^6 1S₀) ground state. The quantum defect μ for the Rydberg series and linewidths Γ (⁠|$\mu$|eV) are included for completeness. This series is not detectable in the experimental studies due to the extremely narrow resonance linewidths.