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Pascal's Formula
Each subsequent row of Pascal's triangle is obtained by adding the two entries diagonally above. This follows immediately from the binomial coefficient identity
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(1)
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(2)
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(3)
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(4)
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(5)
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See also
Binomial Coefficient, Binomial Sums, Pascal's TriangleExplore with Wolfram|Alpha
Cite this as:
Weisstein, Eric W. "Pascal's Formula." From MathWorld--A Wolfram Resource. https://mathworld.wolfram.com/PascalsFormula.html