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We establish a recursive relation for the bipartition number p₂ (n) which might be regarded as an analogue of Euler's recursive relation for the partition number p (n). Two proofs of the main result are proved in this article. The first one is using the generating function, and the second one is using combinatoric objects (called ``symbols'') created by Lusztig for studying representation theory of finite classical groups.
Lin et al. (Thu,) studied this question.