
Hockey-stick identity
Recurrence relations of binomial coefficients in Pascal's triangle

Recurrence relations of binomial coefficients in Pascal's triangle
In combinatorics, the hockey-stick identity, Christmas stocking identity, boomerang identity, Fermat's identity or Chu's Theorem, states that if n ≥ r ≥ 0 {\displaystyle n\geq r\geq 0} are integers, then ( r r ) + ( r + 1 r ) + ( r + 2 r )...
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