Exploring Hockey Stick Theorems: Abstract, Introduction and Description of Results

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Investigating hockey stick theorems in Pascal's and trinomial triangles, revealing patterns akin to ball trajectories in combinatorial mathematics.
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This paper is available on arxiv(https://arxiv.org/abs/1404.5106) under CC BY 4.0 DEED license. The big hockey stick theorem is a special case of a general theorem which our goal is to introduce it. We state a hockey Stick theorem in the trinomial triangle too.