Hockey-stick identity
Recurrence relations of binomial coefficients in Pascal's triangle / From Wikipedia, the free encyclopedia
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In combinatorial mathematics, the hockey-stick identity,[1] Christmas stocking identity,[2] boomerang identity, Fermat's identity or Chu's Theorem,[3] states that if are integers, then
The name stems from the graphical representation of the identity on Pascal's triangle: when the addends represented in the summation and the sum itself are highlighted, the shape revealed is vaguely reminiscent of those objects (see hockey stick, Christmas stocking).