A Novel Fibonacci Pattern in Pascal's Triangle
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math.HO
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fibonaccipatternfracnovelpascaltrianglealongbeautiful
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The Fibonacci sequence is obtained as weighted sum along the rows in the Pascal triangle by choosing a periodic up-and-down pattern of weights from the set $\{-1,-\frac{1}{2},0, \frac{1}{2}, 1\}$. A graphical illustration of this identity shows a novel "`beautiful"' Fibonacci pattern.
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