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The hockey stick identity confirms, for example: for n=6, r=2: 1+3+6+10+15=35. In combinatorics , the hockey-stick identity , [ 1 ] Christmas stocking identity , [ 2 ] boomerang identity , Fermat's identity or Chu's Theorem , [ 3 ] states that if n ≥ r ≥ 0 {\displaystyle n\geq r\geq 0} are integers, then
Hockey-stick identity; K. Kneser's theorem (combinatorics) Kruskal–Katona theorem; L. Labelled enumeration theorem; Lagrange inversion theorem; Lindström–Gessel ...
An ice hockey stick is a piece of equipment used in ice hockey to shoot, pass, and carry the puck across the ice. Ice hockey sticks are approximately 150–200 cm long, composed of a long, slender shaft with a flat extension at one end called the blade. National Hockey League (NHL) sticks are up to 63 inches (160 cm) long. [1]
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Girl with a field hockey stick. A hockey stick is a piece of sports equipment used by the players in all the forms of hockey to move the ball or puck (as appropriate to the type of hockey) either to push, pull, hit, strike, flick, steer, launch or stop the ball/puck during play with the objective being to move the ball/puck around the playing area using the stick, and then trying to score.
The hockey stick identity follows by equating coefficients of . I came up with this proof, which I think is pretty nice, and I can't find it anywhere else, so I just assume its new. EZ132 ( talk ) 19:09, 18 September 2020 (UTC) [ reply ]