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Nestor Ashbery
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Nestor Ashbery

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This is so sexy, it's almost NSFW. Amazing the things I find when I'm supposed to be working. :)
 
The sums of the reciprocals of the binomial coefficients over successive diagonals in Pascal’s triangle converge into beautiful patterns, apart from the first and second diagonal (which lead to the series 1 + 1 + 1 + 1 + … and the harmonic series, respectively).

A proof of the identity can be found here - http://www.cut-the-knot.org/arithmetic/algebra/BinomialReciprocalsInPascal.shtml
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