Sun's curious identity

In combinatorics, Sun's curious identity is the following identity involving binomial coefficients, first established by Zhi-Wei Sun in 2002:

Proofs

edit

After Sun's publication of this identity in 2002, five other proofs were obtained by various mathematicians:

References

edit
  • Callan, D. (2004), "A combinatorial proof of Sun's 'curious' identity" (PDF), INTEGERS: The Electronic Journal of Combinatorial Number Theory, 4: A05, arXiv:math.CO/0401216, Bibcode:2004math......1216C.