96.20 Pascal's triangle: The hidden stor-e

@article{Brothers20129620PT,
  title={96.20 Pascal's triangle: The hidden stor-e},
  author={Harlan J. Brothers},
  journal={The Mathematical Gazette},
  year={2012},
  volume={96},
  pages={145 - 148}
}
shallow diagonal before that one. So the sum of any shallow diagonal (from the third onwards) is the sum of the two previous shallow diagonals, giving the inductive definition F" = Fn _ 1 + Fn _ 2 for Fibonacci numbers F", with F1 = I and F2 = 1, since these are the only numbers in the first two shallow diagonals. In the short-cut triangle, a similar relationship means that, after the third shallow diagonal, each element of any shallow diagonal is the sum of one element from each of the three… 
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Harlan Brothers (hjb@thecountryschool.org) is Director of Technology at The Country School in Madison, Connecticut, where he teaches programming, fractal geometry, robotics, and jazz band. He is
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The musings of a Belgian monk 300 years ago on the consequences of believing in God, or not, have influenced our Western life probably more than any other scientific or technological invention
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