A combinatorial proof of Sun's "curious" identity

Details A combinatorial proof of Sun's "curious" identity A combinatorial proof of Sun's "curious" identity

2004-01-18

arxiv.org/abs/math/0401216v1

Mathematics

Combinatorics

Latex, 7 pages

Scientific paper

A binomial coefficient identity due to Zhi-Wei Sun is the subject of half a
dozen recent papers that prove it by various analytic techniques and establish
a generalization. Here we give a simple proof that uses weight-reversing
involutions on suitable configurations involving dominos and colorings. With
somewhat more work, the method extends to the generalization also.

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