A simple inductive argument to compute more Kleinberg sequences under the Axiom of Determinacy Stefan Bold, Benedikt Löwe Abstract: A characteristic feature of infinitary combinatorics under the Axiom of Determinacy is the existence of sequences of partition cardinals, called Kleinberg sequences. It is well known that there are lots of Kleinberg sequences below aleph-(epsilon-0), but the exact values of their elements is still unknown. In this note, we give a simple inductive argument that allows to compute the Kleinberg sequences corresponding to the (omega-1)-cofinal measures on the odd projective ordinals without doing any detailed ultrapower analyses.