A Recursive Relation for Bipartition Numbers
Abstract
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.
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