Not considering the electronic spin, the degeneracy of the second excited state (n = 3) of H atom is 9, while the degeneracy of the second excited state of H– is:
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single electron species don’t follow the (n + ℓ) rule but multi electron species do.
Ground state of H– =1s2
First excited state of H- = 1s1, 2s1
Second excited state of H- =1s1, 2s0, 2p1
