A Bijective Proof of and Identity Extending a Classic Result of Hajos

Details A Bijective Proof of and Identity Extending a Classic Result of Hajos A Bijective Proof of and Identity Extending a Classic Result of Hajos

2012-03-15

arxiv.org/abs/1203.3264v1

Mathematics

Combinatorics

11 pages, 7 figures

Scientific paper

We provide bijective proofs of two classic identities that are very simple to
prove using generating functions, but surprisingly difficult to prove
combinatorially. The problem of finding a bijective proof for the first
identity was first raised in the 1930s. The second, more involved identity
takes the first one a step further.

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