# 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…
3 Citations
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